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@book{NocedalWright:2006,
	Author = {J. Nocedal and S. Wright},
	Date-Added = {2021-08-30 09:39:36 +1000},
	Date-Modified = {2021-08-30 09:40:33 +1000},
	Edition = {2nd},
	Publisher = {Springer},
	Series = {Operations Research and Financial Engineering},
	Title = {Numerical Optimization},
	Year = {2006}}

@book{LuenbergerYinyu:2008,
	Author = {D. G. Luenberger and {Y}. Yinyu},
	Date-Added = {2021-08-30 09:24:47 +1000},
	Date-Modified = {2021-08-30 09:26:10 +1000},
	Publisher = {Springer},
	Title = {Linear and {N}onlinear {P}rogramming},
	Year = {2008}}

@book{Bonnansetal:2000,
	Author = {{J. F.} Bonnans and C. Lemar\'{e}chal and {J. C.} Gilbert and {C. A.} Sagastiz\'{a}bal},
	Date-Added = {2021-08-29 21:41:42 +1000},
	Date-Modified = {2021-08-29 21:50:05 +1000},
	Publisher = {Springer},
	Title = {Numerical Optimization},
	Year = {2000}}

@book{Bramer2016,
	Author = {Max Bramer},
	Date-Added = {2020-04-25 19:32:57 +1000},
	Date-Modified = {2020-04-25 19:33:09 +1000},
	Doi = {10.1007/978-1-4471-7307-6},
	Publisher = {Springer},
	Title = {Principles of Data Mining},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4471-7307-6}}

@book{Aggarwal2016,
	Author = {Charu C. Aggarwal},
	Date-Added = {2020-04-25 19:30:36 +1000},
	Date-Modified = {2020-04-25 19:30:42 +1000},
	Doi = {10.1007/978-3-319-29659-3},
	Publisher = {Springer},
	Title = {Recommender Systems},
	Url = {https://doi.org/10.1007/978-3-319-29659-3},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-29659-3}}

@book{Igual2017,
	Author = {Laura Igual and Santi Segu{\'{\i}}},
	Date-Added = {2020-04-25 19:28:00 +1000},
	Date-Modified = {2020-04-25 19:28:15 +1000},
	Doi = {10.1007/978-3-319-50017-1},
	Publisher = {Springer},
	Title = {Introduction to Data Science},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-50017-1}}

@book{Skiena2017,
	Author = {Steven S. Skiena},
	Date-Added = {2020-04-25 19:24:58 +1000},
	Date-Modified = {2020-04-25 19:25:10 +1000},
	Doi = {10.1007/978-3-319-55444-0},
	Publisher = {Springer},
	Title = {The Data Science Design Manual},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-55444-0}}

@book{ORegan2017,
	Author = {Gerard O{\textquotesingle}Regan},
	Date-Added = {2020-04-25 19:22:12 +1000},
	Date-Modified = {2020-04-25 19:22:24 +1000},
	Doi = {10.1007/978-3-319-57750-0},
	Publisher = {Springer},
	Title = {Concise Guide to Software Engineering},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-57750-0}}

@book{Lee2017,
	Author = {Kent D. Lee},
	Date-Added = {2020-04-25 19:18:28 +1000},
	Date-Modified = {2020-04-25 19:18:50 +1000},
	Doi = {10.1007/978-3-319-70790-7},
	Publisher = {Springer},
	Title = {Foundations of {P}rogramming {L}anguages},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-70790-7}}

@book{Kubat2017,
	Author = {Miroslav Kubat},
	Date-Added = {2020-04-25 19:15:39 +1000},
	Date-Modified = {2020-04-25 19:16:08 +1000},
	Doi = {10.1007/978-3-319-63913-0},
	Publisher = {Springer},
	Title = {An {I}ntroduction to {M}achine {L}earning},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-63913-0}}

@book{Aggarwal2018,
	Author = {Charu C. Aggarwal},
	Date-Added = {2020-04-25 18:50:27 +1000},
	Date-Modified = {2020-04-25 18:51:03 +1000},
	Doi = {10.1007/978-3-319-94463-0},
	Publisher = {Springer},
	Title = {Neural {N}etworks and {D}eep {L}earning},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-94463-0}}

@book{Forsyth2018,
	Author = {David Forsyth},
	Date-Added = {2020-04-25 18:46:29 +1000},
	Date-Modified = {2020-04-25 18:46:56 +1000},
	Doi = {10.1007/978-3-319-64410-3},
	Publisher = {Springer},
	Title = {Probability and {S}tatistics for {C}omputer {S}cience},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-64410-3}}

@book{Hunt2019,
	Author = {John Hunt},
	Date-Added = {2020-04-25 18:41:09 +1000},
	Date-Modified = {2020-04-25 18:41:49 +1000},
	Doi = {10.1007/978-3-030-25943-3},
	Publisher = {Springer},
	Title = {Advanced {G}uide to {P}ython 3 {P}rogramming},
	Year = {2019},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-030-25943-3}}

@book{Brandt2014,
	Author = {Siegmund Brandt},
	Date-Added = {2020-04-21 18:10:11 +1000},
	Date-Modified = {2020-04-21 18:10:55 +1000},
	Doi = {10.1007/978-3-319-03762-2},
	Publisher = {Springer},
	Title = {{D}ata {A}nalysis},
	Url = {https://doi.org/10.1007/978-3-319-03762-2},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-03762-2}}

@book{Bonamente2017,
	Author = {Massimiliano Bonamente},
	Date-Added = {2020-04-21 18:06:20 +1000},
	Date-Modified = {2020-04-21 18:06:56 +1000},
	Doi = {10.1007/978-1-4939-6572-4},
	Publisher = {Springer},
	Title = {{S}tatistics and {A}nalysis of {S}cientific {D}ata},
	Url = {https://doi.org/10.1007/978-1-4939-6572-4},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4939-6572-4}}

@book{GelCarSte13,
	Author = {Andrew Gelman and John B. Carlin and Hal S. Stern and David B. Dunson and Avi Vehtari and Donald B. Rubin},
	Date-Added = {2020-04-09 10:02:31 +1000},
	Date-Modified = {2020-04-09 18:05:12 +1000},
	Edition = {3rd},
	Number = {106},
	Publisher = {Chapman \& Hall},
	Series = {CRC Texts in Statistical Science},
	Title = {Bayesian {D}ata {A}nalysis},
	Year = {2013}}

@book{Martin:2018aa,
	Author = {Osvaldo Martin},
	Date-Added = {2020-04-09 09:08:59 +1000},
	Date-Modified = {2020-04-09 09:12:23 +1000},
	Edition = {2nd},
	Publisher = {Packt},
	Title = {Bayesian Analysis with Python},
	Year = {2018}}

@article{Ackerm2013,
	Author = {E. Ackerman},
	Journal = {{IEEE} Spectrum},
	Owner = {humberto.shiromoto},
	Timestamp = {2016.01.18},
	Title = {{DARPA} Robotics Challenge Trials: Day 2 and the Future},
	Year = {2013}}

@book{AgrachevSachkov2004,
	Author = {A. A. Agrachev and Y. Sachkov},
	Date-Added = {2012-03-25 22:12:42 +0000},
	Date-Modified = {2012-03-25 22:14:51 +0000},
	Publisher = {Springer},
	Series = {Encyclopaedia of Mathematical Sciences},
	Title = {Control Theory from the Geometric Viewpoint},
	Volume = {87},
	Year = {2004}}

@inproceedings{Ahmadi2014,
	Author = {A. A. Ahmadi and P. A. Parrilo},
	Booktitle = {Proceedings of the 53rd {IEEE} Conference on Decision and Control},
	Doi = {10.1109/cdc.2014.7039734},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Pages = {2272-2281},
	Timestamp = {2016.03.16},
	Title = {Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2014.7039734}}

@article{Alberti:2013,
	Author = {G. Alberti and S. Bianchini and G. Crippa},
	Date-Added = {2013-06-28 13:25:32 +0000},
	Date-Modified = {2014-02-25 16:11:10 +0000},
	Journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci.},
	Number = {4},
	Pages = {863-902},
	Title = {Structure of level sets and {S}ard-type properties of {L}ipschitz maps},
	Volume = {12},
	Year = {2013}}

@book{Albertos2010,
	Author = {P. Albertos and I. Mareels},
	Owner = {humbertoshiromoto},
	Publisher = {Springer},
	Timestamp = {2015.03.19},
	Title = {Feedback and Control for Everyone},
	Year = {2010}}

@article{Amani:2012,
	Author = {P. Amani and B. Aspern\"as and K. J. Astr\"om and M. Dellkrantz and M. Kihl and G. Radu and A. Robertsson and A. Torstensson},
	Date-Added = {2014-04-14 10:36:32 +0000},
	Date-Modified = {2014-04-14 10:37:50 +0000},
	Journal = {International Journal On Advances in Telecommunications},
	Number = {3 \& 4},
	Title = {Application of Control Theory to a Commercial Mobile Service Support System},
	Volume = {5},
	Year = {2012}}

@inproceedings{Aminzare2014,
	Address = {Los Angeles, CA},
	Author = {Z. Aminzare and E. D. Sontag},
	Booktitle = {Proceedings of the 53rd {IEEE} Conference on Decision and Control},
	Doi = {10.1109/CDC.2014.7039986},
	Month = {Dec.},
	Owner = {humberto.shiromoto},
	Pages = {3835-3847},
	Timestamp = {2015.08.05},
	Title = {Contraction Methods for Nonlinear Systems: A Brief Introduction and Some Open Problems},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2014.7039986}}

@article{Aminzare2014a,
	Author = {Z. Aminzare and E. D. Sontag},
	Doi = {10.1109/tnse.2015.2395075},
	Journal = {{IEEE} Transactions on Network Science and Engineering},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {91-106},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.02.08},
	Title = {Synchronization of Diffusively-Connected Nonlinear Systems: Results Based on Contractions with Respect to General Norms},
	Volume = {1},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/tnse.2015.2395075}}

@article{Anderson1972,
	Abstract = {Two small-gain theorems and a passivity theorem yielding stability results for general feedback systems are shown to be equivalent.},
	Annote = {In order to establish stability for a certain system, the small-gain theorems and the passivity theorem are equally powerful, so that nothing can be proved with one theorem that could not be proved, after transformation, with another.},
	Author = {B.D.O. Anderson},
	Date-Added = {2013-03-14 16:48:13 +0000},
	Date-Modified = {2013-03-14 16:49:31 +0000},
	Doi = {10.1016/0016-0032(72)90150-0},
	Issn = {0016-0032},
	Journal = {Journal of the Franklin Institute},
	Number = {2},
	Pages = {105-115},
	Rating = {3},
	Read = {1},
	Title = {The small-gain theorem, the passivity theorem and their equivalence},
	Url = {http://www.sciencedirect.com/science/article/pii/0016003272901500},
	Volume = {293},
	Year = {1972},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0016003272901500},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/0016-0032(72)90150-0}}

@book{Anderson2007,
	Author = {B. D. O. Anderson and J. B. Moore},
	Owner = {humberto.shiromoto},
	Publisher = {Dover},
	Series = {Dover Books on Engineering},
	Timestamp = {2016.01.18},
	Title = {Optimal Control: Linear Quadratic Methods},
	Year = {2007}}

@book{Anderson1977,
	Author = {P. M. Anderson and A. A. Fouad},
	Owner = {humberto.shiromoto},
	Publisher = {Iowa State University Press},
	Timestamp = {2016.03.15},
	Title = {Power System Control and Stability},
	Year = {1977}}

@article{Andrieu2016,
	Archiveprefix = {arXiv},
	Author = {V. Andrieu and B. Jayawardhana and L. Praly},
	Eprint = {1601.00508},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Note = {(to appear)},
	Owner = {humberto.shiromoto},
	Timestamp = {2016.01.11},
	Title = {Transverse exponential stability and applications},
	Year = {2016}}

@article{Andrieu:2008,
	Annote = {This papers introduces new notions of homogeneous approximations as well as applications to the design of observers and output feedbacks.

The authors started the paper by introducint the notion of homogeneous approximation in the infinity. Interesting properties are shown:

- Composition of homogeneous functions;
- Global asymptotical stability of the origin for \infty-homogeneous sets implies in the existence of a compact invariant subset that is globally asymptotically stable for the the original system
- Existence of Lyapunov function (inverse theorem, given the asymptotical stability of the origin for homogeneous systems)
- Implications to ISS and small-gain properties for homogeneous approximations;},
	Author = {V. Andrieu and L. Praly and A. Astolfi},
	Date-Added = {2012-11-09 15:42:25 +0000},
	Date-Modified = {2012-11-09 16:23:30 +0000},
	Journal = {SIAM J. Control and Optimization},
	Number = {4},
	Pages = {1814-1859},
	Rating = {4},
	Read = {1},
	Title = {Homogeneous approximation, recursive observer design and output feedback},
	Volume = {47},
	Year = {2008}}

@article{Andrieu2010,
	Author = {V. Andrieu and C. Prieur},
	Date-Added = {2012-02-10 15:48:05 +0000},
	Date-Modified = {2012-02-25 15:37:24 +0000},
	Doi = {10.1109/TAC.2010.2049689},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {8},
	Pages = {1923-1927},
	Rating = {5},
	Read = {1},
	Title = {Uniting two control {L}yapunov functions for affine systems},
	Volume = {55},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2010.2049689}}

@article{AndrieuTarbouriech2011,
	Author = {V. Andrieu and S. Tarbouriech},
	Date-Added = {2014-01-24 08:23:44 +0000},
	Date-Modified = {2014-01-24 08:28:28 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {6},
	Pages = {1602-1608},
	Title = {Global asymptotic stabilization of some bilinear systems by hybrid state and output feedback},
	Volume = {58},
	Year = {2013}}

@article{Angeli:2004,
	Author = {D. Angeli},
	Date-Added = {2013-11-21 18:51:34 +0000},
	Date-Modified = {2013-12-06 18:52:27 +0000},
	Doi = {10.1109/TAC.2004.829594},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {6},
	Pages = {866-874},
	Rating = {5},
	Title = {An {A}lmost {G}lobal {N}otion of {I}nput-to-{S}tate {S}tability},
	Volume = {49},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2004.829594}}

@inproceedings{Angeli:2003,
	Author = {D. Angeli},
	Booktitle = {42nd {IEEE} Conference on Decision and Control (CDC)},
	Pages = {5080-5082},
	Title = {Some Remarks on Density Functions for dual Lyapunov Methods},
	Year = {2003}}

@article{Angeli2002,
	Author = {D. Angeli},
	Doi = {10.1109/9.989067},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {Mar.},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {410-421},
	Timestamp = {2015.08.12},
	Title = {A {L}yapunov Approach to Incremental Stability Properties},
	Volume = {47},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.989067}}

@article{Angeli:2007,
	Abstract = {A new version of the small-gain theorem is presented for nonlinear finite dimensional systems. The result provides conditions for global asymptotic stability under relaxed assumptions, in particular the two interconnected subsystems need not be input-to-state stable in open loop.},
	Author = {D. Angeli and A. Astolfi},
	Date-Added = {2013-02-07 09:04:05 +0000},
	Date-Modified = {2013-11-29 17:36:46 +0000},
	Doi = {10.1016/j.sysconle.2006.08.003},
	Journal = {Syst. \& Contr. Lett.},
	Keywords = {Global asymptotic stability},
	Number = {1},
	Pages = {87-91},
	Title = {A Tight Small-Gain Theorem for not Necessarily {ISS} Systems},
	Volume = {56},
	Year = {2007},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S016769110600137X},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.sysconle.2006.08.003}}

@article{Angeli2015,
	Author = {D. Angeli and E. Efimov},
	Doi = {10.1109/TAC.2015.2418676},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Note = {(To appear)},
	Owner = {humberto.shiromoto},
	Timestamp = {2015.09.23},
	Title = {Characterizations of Input-to-State Stability for Systems with Multiple Invariant Sets},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2015.2418676}}

@article{Angeli:1999,
	Abstract = {A finite-dimensional continuous-time system is forward complete if solutions exist globally, for positive time. This paper shows that forward completeness can be characterized in a necessary and sufficient manner by means of smooth scalar growth inequalities. Moreover, a version of this fact is also proved for systems with inputs, and a generalization is also provided for systems with outputs and a notion (unboundedness observability) of relative completeness. We apply these results to obtain a bound on reachable states in terms of energy-like estimates of inputs.},
	Annote = {The most important result is. For Lipschitz continuous systems, the existence of solutions is equivalent to the existence of "Lyapunov functions".},
	Author = {D. Angeli and E.D. Sontag},
	Date-Added = {2013-02-07 14:58:35 +0000},
	Date-Modified = {2013-02-07 15:33:00 +0000},
	Journal = {Syst. \& Contr. Lett.},
	Number = {4-5},
	Pages = {209-217},
	Title = {Forward completeness, unboundedness observability, and their {L}yapunov characterizations},
	Volume = {38},
	Year = {1999}}

@inproceedings{AngeliSontag2011,
	Abstract = {This note introduces a small-gain result for interconnected MIMO orthant-monotone systems for which no matching condition is required between the partial orders in input and output spaces of the considered subsystems. Previous results assumed that the partial orders adopted would be induced by positivity cones in input and output spaces and that such positivity cones should fulfill a compatibility rule: namely either be coincident or be opposite. Those two configurations corresponded to positive-feedback or negative feedback cases. We relax those results by allowing arbitrary orthant orders.},
	Author = {D. Angeli and E. D. Sontag},
	Booktitle = {50th {IEEE} Conference on Decision and Control and European Control Conference (CDC-ECC)},
	Date-Added = {2012-12-02 16:57:43 +0000},
	Date-Modified = {2014-01-26 11:43:11 +0000},
	Doi = {10.1109/CDC.2011.6160274},
	Issn = {0743-1546},
	Keywords = {arbitrary orthant orders;compatibility rule;input spaces;interconnected MIMO orthant-monotone systems;negative feedback cases;non sign-definite case;output spaces;partial orders;positive-feedback cases;positivity cones;MIMO systems;feedback;interconnected systems;},
	Pages = {6049-6053},
	Title = {A small-gain result for orthant-monotone systems in feedback: The non sign-definite case},
	Year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.2011.6160274}}

@book{Apostol:1991,
	Author = {T. M. Apostol},
	Date-Added = {2013-10-23 10:23:35 +0000},
	Date-Modified = {2013-10-23 10:24:49 +0000},
	Edition = {2nd},
	Publisher = {Wiley},
	Rating = {5},
	Title = {Calculus: One-Variable Calculus, with an Introduction to Linear Algebra},
	Volume = {1},
	Year = {1991}}

@article{Arcak2001,
	Author = {M. Arcak and A. R. Teel and Petar Kokotovi{\'{c}}},
	Doi = {10.1016/s0005-1098(00)00138-2},
	Journal = {Automatica},
	Month = {feb},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {265-272},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.22},
	Title = {Robust nonlinear control of feedforward systems with unmodeled dynamics},
	Volume = {37},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1016/s0005-1098(00)00138-2}}

@book{Arnold1989,
	Author = {V. I. Arnold},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2015.08.04},
	Title = {Mathematical Methods of Classical Mechanics},
	Year = {1989}}

@article{Artstein:1983,
	Author = {Zvi Artstein},
	Date-Added = {2012-04-03 09:20:09 +0000},
	Date-Modified = {2012-04-03 09:20:09 +0000},
	Journal = {Nonlinear Analysis},
	Number = {7},
	Pages = {1163--1173},
	Title = {Stabilization with relaxed controls},
	Year = {1983}}

@article{ArzarelloBacciotti1997,
	Author = {E. Arzarello and A. Bacciotti},
	Date-Added = {2012-03-06 10:15:34 +0000},
	Date-Modified = {2012-03-06 10:19:59 +0000},
	Journal = {Set-Valued Analysis},
	Number = {4},
	Pages = {377-390},
	Read = {1},
	Title = {On stability and boundedness for {L}ipschitzian differential inclusions: the converse of {L}yapunov's theorems},
	Volume = {5},
	Year = {1997}}

@book{Ashby:1961,
	Author = {R. W. Ashby},
	Date-Added = {2014-03-19 08:46:05 +0000},
	Date-Modified = {2014-03-19 08:47:16 +0000},
	Publisher = {Chapman \& Hall},
	Title = {Introduction to Cybernetics},
	Year = {1961}}

@inproceedings{AstolfiPraly:2012,
	Abstract = {A weak version of the small-gain theorem is derived. Connections with the classical linear and nonlinear small-gain conditions are established. The necessity of the weak small-gain conditions is discussed.},
	Annote = {This paper provides a weaker version of the small-gain theorem in the sense that the considered "ISS gains" are not class K but only continuous positive functions that hold zero at zero.

A relaxed small gain condition is given in Equation (7). The relationship between this condition and the classical small gain condition is shown in Lemma 2. The small gain theorem is stated in proved in Theorem 1.},
	Author = {A. Astolfi and L. Praly},
	Booktitle = {{IEEE} 51st Conference on Decision and Control (CDC), 2012},
	Date-Added = {2013-02-07 09:54:23 +0000},
	Date-Modified = {2013-11-29 17:37:33 +0000},
	Keywords = {Asymptotic stability;Convergence;Educational institutions;Electronic mail;History;Interconnected systems;Nonlinear systems;},
	Pages = {4586-4590},
	Rating = {3},
	Read = {1},
	Title = {A weak version of the small-gain theorem},
	Year = {2012},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.2012.6426377}}

@book{Aubin1991,
	Author = {J.-P. Aubin},
	Date-Added = {2012-03-11 10:30:04 +0000},
	Date-Modified = {2012-03-11 10:30:45 +0000},
	Publisher = {Birkhauser},
	Title = {Viability theory},
	Year = {1991}}

@article{Aubinetal2002,
	Author = {J.-P. Aubin and J. Lygeros and M. Quincampoix and S. Sastry and N. Seube},
	Date-Added = {2012-02-25 15:33:40 +0000},
	Date-Modified = {2012-02-25 15:35:21 +0000},
	Journal = {{IEEE} Trans. Automat. Control},
	Number = {1},
	Pages = {2-20},
	Title = {Impulse differential inclusions: a viability approach to hybrid systems},
	Volume = {47},
	Year = {2002}}

@article{Biyik2008,
	Author = {E. B{\i}y{\i}k and M. Arcak},
	Doi = {10.1016/j.sysconle.2007.08.003},
	Journal = {Syst. \& Contr. Lett.},
	Month = {feb},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {142-149},
	Timestamp = {2016.03.10},
	Title = {Area aggregation and time-scale modeling for sparse nonlinear networks},
	Volume = {57},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.sysconle.2007.08.003}}

@article{Burger:2013,
	Author = {M. B\"{u}rger and C. de Persis},
	Date-Added = {2014-01-26 22:33:01 +0000},
	Date-Modified = {2014-01-26 22:34:29 +0000},
	Journal = {Submitted to Automatica},
	Title = {Dynamic coupling design for nonlinear output agreement and time-varying flow control},
	Year = {2013}}

@article{Baake2011,
	Author = {M. Baake and U. Schl\"{a}gel},
	Doi = {10.1134/s0081543811080098},
	Journal = {Proceedings of the Steklov Institute of Mathematics},
	Month = {dec},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {155-159},
	Publisher = {Pleiades Publishing Ltd},
	Timestamp = {2016.01.22},
	Title = {The Peano-Baker series},
	Volume = {275},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1134/s0081543811080098}}

@book{Bacciotti:1992,
	Author = {A. Bacciotti},
	Owner = {humbertoshiromoto},
	Publisher = {World Scientific Publishing Company},
	Timestamp = {2014.10.23},
	Title = {Local Stabilizability of Nonlinear Control Systems},
	Year = {1992}}

@article{BacciottiCeragioli:1999,
	Abstract = { ABSTRACT We study stability and stabilizability properties of systems with discontinuous righthand side (with solutions intended in Filippov's sense) by means of locally Lipschitz continuous and regular Lyapunov functions. The stability result is obtained in the more general context of differential inclusions. Concerning stabilizability, we focus on systemsaffine with respect to the input: we give some sufficient conditions for a system to be stabilized by means of a feedback law of the Jurdjevic-Quinn type.
 },
	Author = {A. Bacciotti and F. Ceragioli},
	Date-Added = {2013-04-25 12:21:26 +0000},
	Date-Modified = {2013-04-25 12:22:50 +0000},
	Doi = {10.1051/cocv:1999113},
	Issn = {1262-3377},
	Journal = {ESAIM: Control, Optimisation and Calculus of Variations},
	Numpages = {16},
	Pages = {361-376},
	Title = {Stability and Stabilization of Discontinuous Systems and Nonsmooth {L}yapunov Functions},
	Url = {http://www.esaim-cocv.org/action/article_S129281199900113X},
	Volume = {4},
	Year = {1999},
	Bdsk-Url-1 = {http://www.esaim-cocv.org/action/article_S129281199900113X},
	Bdsk-Url-2 = {http://dx.doi.org/10.1051/cocv:1999113}}

@book{BacciottiRosier2001,
	Author = {A. Bacciotti and L. Rosier},
	Date-Added = {2012-02-12 16:22:11 +0000},
	Date-Modified = {2012-02-12 16:24:10 +0000},
	Doi = {10.1007/b139028},
	Edition = {2nd},
	Publisher = {Springer},
	Series = {Communications and Control Engineering},
	Title = {Liapunov Functions and Stability in Control Theory},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1007/b139028}}

@book{Bai2011,
	Author = {H. Bai and M. Arcak and J. Wen},
	Doi = {10.1007/978-1-4614-0014-1},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Communications and Control Engineering},
	Timestamp = {2016.01.29},
	Title = {Cooperative Control Design: A Systematic, Passivity-Based Approach},
	Volume = {89},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4614-0014-1}}

@article{Barbe2007,
	Author = {L. Barb\'{e} and B. Bayle and M. de Mathelin and A. Gangi},
	Doi = {10.1177/0278364907082666},
	Journal = {The International Journal of Robotics Research},
	Month = {Nov./Dec.},
	Number = {11-12},
	Owner = {humbertoshiromoto},
	Pages = {1283-1301},
	Timestamp = {2015.05.03},
	Title = {\emph{In Vivo} {Model Estimation and Haptic Characterization of Needle Insertions}},
	Volume = {26},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1177/0278364907082666}}

@book{Bardi:1997,
	Author = {M. Bardi and I. Capuzzo-Dolcetta},
	Date-Added = {2013-06-14 09:26:04 +0000},
	Date-Modified = {2013-06-14 09:27:13 +0000},
	Publisher = {Birkh{\"a}user},
	Title = {Optimal Control and Viscosity Solutions of {H}amilton-{J}acobi-{B}ellman Equations},
	Year = {1997}}

@phdthesis{Barwell:2010,
	Author = {A. D. Barwell},
	Date-Added = {2013-11-01 10:36:59 +0000},
	Date-Modified = {2014-01-26 11:43:46 +0000},
	School = {{T}he {U}niversity of {B}irmingham},
	Title = {${\"I}‰$-{L}imit {S}ets of {D}iscrete {D}ynamical {S}ystems},
	Year = {2010}}

@book{Battin:1999,
	Author = {R. H. Battin},
	Date-Added = {2014-02-11 14:58:06 +0000},
	Date-Modified = {2014-02-11 14:59:41 +0000},
	Publisher = {American Institute of Aeronautics and Astronautics (AIAA)},
	Title = {An Introduction to the mathematical methods of astrodynamics},
	Year = {1999}}

@book{Belevitch1968,
	Author = {V. Belevitch},
	Owner = {humberto.shiromoto},
	Publisher = {Holde-Day},
	Timestamp = {2015.10.09},
	Title = {Classical Network Theory},
	Year = {1968}}

@article{Benachour:2013a,
	Author = {S. Benachour and V. Andrieu and L. Praly and H. Hammouri},
	Date-Added = {2014-03-19 16:51:34 +0000},
	Date-Modified = {2014-03-19 16:52:40 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {12},
	Pages = {3011-3023},
	Title = {Forwarding design with prescribed local behavior},
	Volume = {58},
	Year = {2013}}

@article{Benachour2014,
	Archiveprefix = {arXiv},
	Author = {S. Benachour and H. {Stein Shiromoto} and V. Andrieu},
	Date-Added = {2014-04-16 13:01:00 +0000},
	Date-Modified = {2014-07-23 20:03:01 +0000},
	Doi = {10.1016/j.automatica.2014.10.019},
	Eprint = {1502.03415},
	Journal = {Automatica},
	Number = {11},
	Pages = {2918-2923},
	Title = {Locally optimal controllers and globally inverse optimal controllers},
	Volume = {50},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2014.10.019}}

@book{Berman:1979,
	Author = {A. Berman and R. J. Plemmons},
	Doi = {10.1137/1.9781611971262},
	Owner = {humbertoshiromoto},
	Publisher = {Academic Press},
	Timestamp = {2014.11.05},
	Title = {Nonegative Matrices in the Mathemaical Sciences},
	Year = {1979},
	Bdsk-Url-1 = {https://doi.org/10.1137/1.9781611971262}}

@article{Bhat:2005,
	Author = {S. P. Bhat and D. S. Bernstein},
	Date-Added = {2013-10-11 09:10:16 +0000},
	Date-Modified = {2013-10-11 09:11:31 +0000},
	Journal = {Math. Control Signals Systems},
	Pages = {101-127},
	Title = {Geometric homogeneity with applications to finite-time stability},
	Volume = {17},
	Year = {2005}}

@book{BhatiaSzego1967,
	Author = {N. P. Bhatia and G. P. Szeg\"o},
	Date-Added = {2012-08-13 20:05:39 +0000},
	Date-Modified = {2012-08-13 20:08:20 +0000},
	Editor = {A. Dold and B. Eckmann},
	Number = {35},
	Publisher = {Springer},
	Rating = {5},
	Read = {1},
	Series = {Lecture Notes in Mathematics},
	Title = {Dynamical {S}ystems: {S}tability {T}heory and {A}pplications},
	Year = {1967}}

@book{Bhatia1970,
	Author = {N. P. Bhatia and G. P. Szeg\"o},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Classics in Mathematics},
	Timestamp = {2015.11.27},
	Title = {Stability Theory of Dynamical Systems},
	Year = {1970}}

@article{Blaabjerg2006,
	Author = {F. Blaabjerg and R. Teodorescu and M. Liserre and A.V. Timbus},
	Doi = {10.1109/tie.2006.881997},
	Journal = {Trans. Ind. Electron.},
	Month = {Oct},
	Number = {5},
	Owner = {humberto.shiromoto},
	Pages = {1398-1409},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.10},
	Title = {Overview of Control and Grid Synchronization for Distributed Power Generation Systems},
	Volume = {53},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1109/tie.2006.881997}}

@unpublished{Blanchini:2011,
	Author = {F. Blanchini},
	Date-Added = {2013-02-13 12:18:45 +0000},
	Date-Modified = {2013-02-13 12:20:18 +0000},
	Keywords = {Uncertain Systems, Lyapunov Function, Robustness.},
	Title = {Lyapunov methods in robustness - {A}n Introduction},
	Year = {2011}}

@inproceedings{Bonnabel2011,
	Author = {S. Bonnabel and A. Astolfi and R. Sepulchre},
	Booktitle = {Proceedings of the {IEEE} Conference on Decision and Control and the European Control Conference},
	Doi = {10.1109/cdc.2011.6161268},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Pages = {7147-7151},
	Timestamp = {2015.10.19},
	Title = {Contraction and observer design on cones},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2011.6161268}}

@book{Boothby1986,
	Author = {W. M. Boothby},
	Owner = {humberto.shiromoto},
	Publisher = {Academic Press},
	Timestamp = {2015.08.05},
	Title = {An Introduction to Differentiable Manifolds and {R}iemannian Geometry},
	Year = {1986}}

@book{Bourbaki:1966,
	Author = {N. Bourbaki},
	Date-Added = {2014-02-05 14:17:57 +0000},
	Date-Modified = {2014-02-05 14:18:46 +0000},
	Publisher = {Addison-Wesley},
	Title = {Elements of Mathematics General Topology Part 1},
	Year = {1966}}

@book{Boyd1994,
	Author = {S. Boyd and L. {El Ghaoui} and E. Feron and V. Balakrishnan},
	Owner = {humberto.shiromoto},
	Publisher = {Society for Industrial and Applied Mathematics (SIAM)},
	Series = {Studies in Applied Mathematics},
	Timestamp = {2016.01.18},
	Title = {Linear Matrix Inequalities in System and Control Theory},
	Volume = {15},
	Year = {1994}}

@article{Brattk2003,
	Author = {V. Brattka},
	Booktitle = {In},
	Journal = {Computability and Complexity in Analysis. Informatik Berichte},
	Owner = {humberto.shiromoto},
	Pages = {7-22},
	Timestamp = {2015.10.19},
	Title = {A Computable Kolmogorov Superposition Theorem},
	Volume = {272},
	Year = {2003}}

@article{Braun2009,
	Author = {J. Braun and M. Griebel},
	Doi = {10.1007/s00365-009-9054-2},
	Journal = {Constr Approx},
	Month = {may},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {653-675},
	Publisher = {Springer Science $\mathplus$ Business Media},
	Timestamp = {2015.10.19},
	Title = {On a Constructive Proof of Kolmogorov's Superposition Theorem},
	Volume = {30},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00365-009-9054-2}}

@inproceedings{Brockett1983,
	Author = {R. W. Brockett},
	Booktitle = {Differential Geometric Control Theory},
	Date-Added = {2012-09-25 15:11:22 +0000},
	Date-Modified = {2012-09-25 15:12:28 +0000},
	Pages = {181-191},
	Publisher = {Birkh\"{a}user},
	Title = {Asymptotic stability and feedback stabilization},
	Year = {1983}}

@inproceedings{Brockett1966,
	Address = {Monticello, IL, USA},
	Author = {R. W. Brockett},
	Booktitle = {Proceedings of the 4th Annual Conference on Circuit and System Theory},
	Owner = {humberto.shiromoto},
	Pages = {685-698},
	Timestamp = {2015.12.15},
	Title = {Path Integrals, Liapunov Functions and Quadratic Minimization},
	Year = {1966}}

@incollection{Brogliato2007,
	Author = {B. Brogliato and B. Maschke and R. Lozano and O. Egeland},
	Booktitle = {Dissipative Systems Analysis and Control},
	Doi = {10.1007/978-1-84628-517-2_4},
	Owner = {humberto.shiromoto},
	Pages = {177--256},
	Publisher = {Springer},
	Timestamp = {2015.11.23},
	Title = {Dissipative Systems},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-84628-517-2_4}}

@phdthesis{Bryant2008,
	Address = {Orlando, FL},
	Author = {D. W. Bryant},
	Owner = {humberto.shiromoto},
	School = {The University of Central Florida},
	Timestamp = {2015.10.19},
	Title = {Analysis of {K}olmogorov's superposition theorem and its implementation in applications with low and high dimensional data},
	Year = {2008}}

@book{Bullo2009,
	Author = {F. Bullo and J. Cort\'es and S. Mart{\'\i}nez},
	Isbn = {978-0-691-14195-4},
	Note = {Electronically available at http://coordinationbook.info},
	Owner = {humberto.shiromoto},
	Publisher = {Princeton University Press},
	Series = {Applied Mathematics Series},
	Timestamp = {2016.03.10},
	Title = {Distributed Control of Robotic Networks},
	Year = {2009}}

@article{CaiGoebelTeel2008,
	Abstract = {It is shown that (pre)asymptotic stability, which generalizes asymptotic stability, of a compact set for a hybrid system satisfying mild regularity assumptions is equivalent to the existence of a smooth Lyapunov function. This result is achieved with the intermediate result that asymptotic stability of a compact set for a hybrid system is generically robust to small, state-dependent perturbations. As a special case, we state a converse Lyapunov theorem for systems with logic variables and use this result to establish input-to-state stabilization using hybrid feedback control. The converse Lyapunov theorems are also used to establish semiglobal practical robustness to slowly varying, weakly jumping parameters, to temporal regularization, to the insertion of jumps according to an ldquoaverage dwell-timerdquo rule, and to the insertion of flow according to a ldquoreverse average dwell-timerdquo rule.},
	Author = {C. Cai and R. Goebel and A. R. Teel},
	Date-Added = {2012-02-10 15:51:51 +0000},
	Date-Modified = {2012-02-10 15:55:55 +0000},
	Doi = {10.1109/TAC.2008.919257},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {3},
	Pages = {734-748},
	Title = {Smooth {L}yapunov Functions for Hybrid Systems Part {II}: (Pre)Asymptotically Stable Compact Sets},
	Volume = {53},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2008.919257}}

@article{CaiTeel2009,
	Author = {C. Cai and A. R. Teel},
	Date-Added = {2012-04-05 09:28:16 +0000},
	Date-Modified = {2012-04-11 13:28:20 +0000},
	Journal = {Syst. \& Contr. Lett.},
	Number = {58},
	Pages = {47-53},
	Title = {Characterizations of input-to-state stability for hybrid systems},
	Year = {2009}}

@article{CaiTeelGoebel2007,
	Abstract = {Hybrid systems are dynamical systems where the state is allowed to either evolve continuously (flow) on certain subsets of the state space or evolve discontinuously (jump) from other subsets of the state space. For a broad class of such systems, characterized by mild regularity conditions on the data, we establish the equivalence between the robustness of stability with respect to two measures and a characterization of such stability in terms of a smooth Lyapunov function. This result unifies and generalizes previous results for differential and difference inclusions with outer semicontinuous and locally bounded right-hand sides. Furthermore, we give a description of forward completeness of a hybrid system in terms of a smooth Lyapunov-like function.},
	Author = {C. Cai and A. R. Teel. and R. Goebel},
	Date-Added = {2012-02-10 15:56:33 +0000},
	Date-Modified = {2012-02-10 15:57:39 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {7},
	Pages = {1264-1277},
	Title = {Smooth {L}yapunov Functions for Hybrid Systems Part {I}: Existence Is Equivalent to Robustness},
	Volume = {52},
	Year = {2007}}

@book{CalafioreGhaoui2014,
	Author = {G. Calafiore and L. {El Ghaoui}},
	Publisher = {Cambridge University Press},
	Title = {Optimization Models},
	Year = {2014}}

@article{Y.Cao2013,
	Author = {Y. Cao and W. Yu and W. Ren and G. Chen},
	Journal = {{IEEE} Trans. Industrial Informatics},
	Number = {1},
	Owner = {humbertoshiromoto},
	Pages = {427-438},
	Timestamp = {2015.03.19},
	Title = {An overview of recent progress in the study of distributed multi-agent coordination},
	Volume = {9},
	Year = {2013}}

@article{Carli:2014,
	Author = {R. Carli and S. Zampieri},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {2},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.10.27},
	Title = {Network Clock Synchronization Based on the Second-Order Linear Consensus Algorithm},
	Volume = {59},
	Year = {2014}}

@article{Casagrande:2009aa,
	Author = {D. Casagrande and A. Astolfi and T. Parisini},
	Date-Added = {2013-11-06 23:37:08 +0000},
	Date-Modified = {2013-11-06 23:38:07 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {8},
	Title = {Switching-{D}riving {L}yapunov {F}unction and the {S}tabilization of the {B}all-and-{P}late {S}ystem},
	Volume = {54},
	Year = {2009}}

@phdthesis{Ceragioli:2000,
	Author = {F. M. Ceragioli},
	Date-Added = {2012-04-03 09:15:50 +0000},
	Date-Modified = {2014-02-18 19:01:06 +0000},
	School = {Universit{\`a} degli studi di {F}irenze},
	Title = {Discontinuous ordinary differential equations and stabilization},
	Year = {2000}}

@phdthesis{Chaillet:2006,
	Author = {A. Chaillet},
	Date-Added = {2014-05-22 07:56:54 +0000},
	Date-Modified = {2014-05-22 07:58:30 +0000},
	School = {Universit\'e Paris XI Orsay},
	Title = {On stability and robustness of nonlinear systems: applications to cascaed systems},
	Year = {2006}}

@inproceedings{Chaillet:2012,
	Abstract = {This paper studies the notion of Strong iISS, which imposes both integral input-to-state stability (iISS) and input-to-state stability (ISS) with respect to small inputs. This combination characterizes the robustness property, exhibited by many practical systems, that the state remains bounded as long as the magnitude of exogenous inputs is reasonably small but may diverge for stronger disturbances. We provide three Lyapunov-type sufficient conditions for Strong iISS. One is based on iISS Lyapunov functions admitting a radially non- vanishing (class K) dissipation rate. However we show that it is not a necessary condition for Strong iISS. Two less conservative conditions are then provided, which are used to demonstrate that asymptotically stable bilinear systems are Strongly iISS. Finally, we discuss cascade and feedback interconnections of Strong iISS systems.},
	Annote = {This paper introduces a new concept of stability, called strong ISS, by merging two concepts that already exists: iISS and ISS. The main results consists in a Lyapunov sufficient condition for the strong iISS stability.

ISS stability concept has been relaxed in two main philosophies: Local ISS (LISS) and integral ISS. Although LISS is a weaker notion of stability in comparison do strong iISS, it does not ensure GAS of the system, in the absence of inputs. Concerning iISS, it provides robustness with respect to a class of inputs with finite energy but it does not for non-vanishing inputs. Furthermore, iISS may not provide a bound for solutions, in the case of vanishing inputs.

The definition of Strong iISS combines both properties: given that the input is small enough, the a solution of the system has an asymptotical bound satisfying the ISS inequality. On the other hand, if the input is larger than a given threshold, then a solution of the system has an asymptotical bound satisfying the iISS inequalitiy.

Results:

Theorems 1 and 2 provides a sufficient condition in terms of the existence of a Strong iISS-Lyapunov function. At this point, it is worth to note that the Strong iISS concept is not yet characterized by the existence of a Strong iISS-Lyapunov function.

Theorem 3 relates the Strong iISS concept to forward completness of a system. Theorem 4 states that the interconnection of Strong iISS systems is yet a Strong iISS system.},
	Author = {A. Chaillet and D. Angeli and H. Ito},
	Booktitle = {Proceedings of the 51st {IEEE} Conference on Decision and Control},
	Date-Added = {2013-01-22 12:35:44 +0000},
	Date-Modified = {2013-07-24 13:19:20 +0000},
	Pages = {2256-2261},
	Rating = {5},
	Read = {1},
	Title = {Strong i{ISS}: combination of i{ISS} and {ISS} with respect to small inputs},
	Year = {2012}}

@article{Chaillet:2008,
	Author = {A. Chaillet and A. Lor\'ia},
	Date-Added = {2014-05-23 08:44:43 +0000},
	Date-Modified = {2014-05-23 08:45:27 +0000},
	Journal = {Automatica},
	Pages = {337-347},
	Title = {Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications},
	Volume = {44},
	Year = {2008}}

@article{Chang:2011aa,
	Author = {H. Chang and A. Astolfi and H. Shim},
	Date-Added = {2013-11-06 23:33:14 +0000},
	Date-Modified = {2013-11-06 23:34:26 +0000},
	Journal = {Automatica},
	Pages = {1271-1277},
	Title = {A control theoretic approach to malaria immunotherapy with state jumps},
	Volume = {47},
	Year = {2011}}

@article{Anna-L.-Chen:2007,
	Author = {A. L. Chen and G.-Q. Chen and R. A. Freeman},
	Date-Added = {2013-11-06 07:45:07 +0000},
	Date-Modified = {2013-11-06 07:48:15 +0000},
	Journal = {Siam {J.} {C}ontrol {O}ptim.},
	Number = {6},
	Pages = {1995-2012},
	Title = {Stability of {N}onlinear {F}eedback {S}ystems: {A} {N}ew {S}mall-{G}ain {T}heorem},
	Volume = {45},
	Year = {2007}}

@article{Chen2010,
	Author = {T. Chen and J. Huang},
	Doi = {10.1016/j.automatica.2010.02.028},
	Journal = {Automatica},
	Month = {jun},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {1028-1034},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.22},
	Title = {A small gain approach to global stabilization of nonlinear feedforward systems with input unmodeled dynamics},
	Volume = {46},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2010.02.028}}

@book{Chicone:2006,
	Author = {C. Chicone},
	Date-Added = {2013-11-20 06:53:35 +0000},
	Date-Modified = {2013-11-20 06:55:39 +0000},
	Number = {34},
	Publisher = {Springer},
	Rating = {5},
	Series = {Texts in Applied Mathematics},
	Title = {Ordinary Differential Equations with Applications},
	Year = {2006}}

@article{Cimpric2015,
	Archiveprefix = {arXiv},
	Author = {J. Cimpri{\v{c}}},
	Doi = {10.1016/j.laa.2014.09.037},
	Eprint = {1406.7442},
	Journal = {Linear Algebra and its Applications},
	Month = {jan},
	Pages = {239-261},
	Primaryclass = {math.AG},
	Publisher = {Elsevier {BV}},
	Title = {Finsler{\textquotesingle}s Lemma for matrix polynomials},
	Volume = {465},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.laa.2014.09.037}}

@book{Clarke:2013,
	Author = {F. H. Clarke},
	Date-Added = {2014-02-17 15:08:27 +0000},
	Date-Modified = {2014-02-17 15:10:47 +0000},
	Publisher = {Springer},
	Series = {Graduate Texts in Mathematics},
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Moreover, 

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	Bdsk-Url-1 = {https://doi.org/10.3182/20130904-3-fr-2041.00038}}

@inproceedings{Forni2013,
	Archiveprefix = {arXiv},
	Author = {F. Forni and R. Sepulchre and A. J. {van der Schaft}},
	Booktitle = {Proceedings of the 52nd {IEEE} Conference on Decision and Control},
	Doi = {10.1109/cdc.2013.6760930},
	Eprint = {1309.2558},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Pages = {6580-6585},
	Timestamp = {2015.10.29},
	Title = {On differential passivity of physical systems},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2013.6760930}}

@book{FreemanKokotovic2008,
	Author = {R. A. Freeman and P. V. Kokotovi\'{c}},
	Date-Added = {2012-06-05 08:28:30 +0000},
	Date-Modified = {2012-06-05 08:29:56 +0000},
	Publisher = {Birkh{\"a}user},
	Title = {Robust Nonlinear Control Design: State-Space and {L}yapunov Techniques},
	Year = {2008}}

@article{Freeman1998,
	Author = {R. A. Freeman and M. Krsti\'{c} and P. V. Kokotovi\'{c}},
	Doi = {10.1016/s0005-1098(98)00070-3},
	Journal = {Automatica},
	Month = {oct},
	Number = {10},
	Owner = {humberto.shiromoto},
	Pages = {1227-1230},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.22},
	Title = {Robustness of Adaptive Nonlinear Control to Bounded Uncertainties},
	Volume = {34},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1016/s0005-1098(98)00070-3}}

@book{Fremlin:2010,
	Author = {D. H. Fremlin},
	Date-Added = {2013-10-28 10:16:19 +0000},
	Date-Modified = {2013-10-28 10:17:06 +0000},
	Publisher = {Torres Fremlin},
	Title = {Measure Theory},
	Volume = {2},
	Year = {2010}}

@article{Freris:2011,
	Author = {N. M. Freris and S. R. Graham and P. R. Kumar},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {6},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.10.27},
	Title = {Fundamental Limits on Synchronizing Clocks Over Networks},
	Volume = {56},
	Year = {2011}}

@article{Fromion2003,
	Author = {V. Fromion and G. Scorletti},
	Doi = {10.1002/rnc.748},
	Journal = {International Journal of Robust and Nonlinear Control},
	Month = {Aug},
	Number = {10},
	Owner = {humberto.shiromoto},
	Pages = {951-982},
	Publisher = {Wiley-Blackwell},
	Timestamp = {2015.11.25},
	Title = {A theoretical framework for gain scheduling},
	Volume = {13},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1002/rnc.748}}

@article{Fukuda2001,
	Author = {M. Fukuda and M. Kojima and K. Murota and K. Nakata},
	Doi = {10.1137/s1052623400366218},
	Journal = {{SIAM} {J}. {O}ptim.},
	Month = {jan},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {647-674},
	Publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
	Timestamp = {2016.03.16},
	Title = {Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework},
	Volume = {11},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1137/s1052623400366218}}

@book{Gajic2008,
	Author = {Z. Gajic and M. T. J. Qureshi},
	Owner = {humberto.shiromoto},
	Publisher = {Dover},
	Timestamp = {2015.10.23},
	Title = {Lyapunov Matrix Equation in System Stability and Control},
	Year = {2008}}

@article{Geiselhart2012,
	Author = {Geiselhart, Roman and Wirth, Fabian},
	Doi = {10.1007/s00498-012-0082-2},
	Journal = {Mathematics of Control, Signals, and Systems},
	Number = {1-2},
	Owner = {humbertoshiromoto},
	Pages = {3--32},
	Publisher = {Springer},
	Timestamp = {2015.03.30},
	Title = {Numerical construction of LISS Lyapunov functions under a small-gain condition},
	Volume = {24},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00498-012-0082-2}}

@article{Gergaud:2006,
	Author = {J. Gergaud and T. Haberkorn},
	Date-Added = {2014-03-26 22:31:58 +0000},
	Date-Modified = {2014-03-26 22:32:56 +0000},
	Journal = {ESAIM Control Optim. Calc. Var.},
	Pages = {294-310},
	Title = {Homotopy method for minimum consumption orbit transfer problem},
	Volume = {12},
	Year = {2006}}

@article{Giorgi:1992,
	Author = {G. Giorgi and S. Koml\'osi},
	Date-Added = {2013-06-04 09:34:24 +0000},
	Date-Modified = {2013-06-04 09:35:04 +0000},
	Doi = {10.1007/BF02086523},
	Issn = {1593-8883},
	Journal = {Rivista di matematica per le scienze economiche e sociali},
	Language = {English},
	Number = {1},
	Pages = {3-30},
	Publisher = {Springer-Verlag},
	Title = {Dini derivatives in optimization - {P}art {I}},
	Url = {http://dx.doi.org/10.1007/BF02086523},
	Volume = {15},
	Year = {1992},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF02086523}}

@article{Girosi:1989,
	Author = {F. Girosi and T. Poggio},
	Doi = {10.1162/neco.1989.1.4.465},
	Journal = {Neural C},
	Number = {4},
	Owner = {humbertoshiromoto},
	Pages = {465-469},
	Timestamp = {2015.06.05},
	Title = {Representation Properties of Networks: Kolmogorov's Theorem Is Irrelevant},
	Volume = {1},
	Year = {1989},
	Bdsk-Url-1 = {https://doi.org/10.1162/neco.1989.1.4.465}}

@inproceedings{Goebeletal2004,
	Address = {Stuttgart},
	Author = {R. Goebel and J. Hespanha and A. R. Teel and C. Cai and R. Sanfelice},
	Booktitle = {IFAC Symposium on Nonlinear Control Systems},
	Date-Added = {2012-02-25 15:14:25 +0000},
	Date-Modified = {2012-02-25 15:18:47 +0000},
	Pages = {1-12},
	Title = {Hybrid systems: generalized solutions and robust stability},
	Year = {2004}}

@article{GoebelPrieurTeel2009,
	Author = {R. Goebel and C. Prieur and A. R. Teel},
	Date-Added = {2014-01-17 09:32:32 +0000},
	Date-Modified = {2014-01-17 09:32:38 +0000},
	Journal = {Automatica},
	Number = {3},
	Pages = {675-683},
	Title = {Smooth patchy control {L}yapunov functions},
	Volume = {45},
	Year = {2009}}

@book{Goebel2012,
	Author = {R. Goebel and R. G. Sanfelice and A. R. Teel},
	Date-Added = {2012-05-13 19:23:50 +0000},
	Date-Modified = {2012-05-13 19:25:42 +0000},
	Publisher = {Princeton University Press},
	Title = {Hybrid Dynamical Systems: Modeling, Stability, and Robustness},
	Year = {2012}}

@article{Goebeletal2009,
	Author = {R. Goebel and R. G. Sanfelice and A. W. Teel},
	Date-Added = {2012-02-29 10:29:37 +0000},
	Date-Modified = {2012-02-29 10:31:47 +0000},
	Journal = {{IEEE} Contr. Syst. Mag.},
	Number = {2},
	Pages = {28-93},
	Title = {Hybrid Dynamical Systems},
	Volume = {29},
	Year = {2009}}

@article{Goebel:2010,
	Annote = {This paper extends the theory of homogeneous approximation of nonlinear systems to hybrid inclusions.

" A fundamental result in the theory of differential equations deduces asymptotic stability of an equilibrium point from asymptotic stability for the linear approximation to the differential equation. The main goal of this paper is to give parallel and far more general results in the setting of hybrid dynamical systems. "

In the paper, only approximations around the origin are considered. The author introduces the definition of homogeneous approximation and dilatation of hybrid inclusions. To do so, they consider not only the homogeneous approximation of the flow and jump maps but also the "approximation" of the jump and flow sets by using tanget cones.

The authors also show that if the homogeneous approximation around the origin is robustly stable, then the original system is also robustly stable.},
	Author = {R. Goebel and A. R. Teel},
	Date-Added = {2012-11-07 16:25:25 +0000},
	Date-Modified = {2012-11-09 13:21:44 +0000},
	Journal = {SIAM Review},
	Number = {1},
	Pages = {87-109},
	Rating = {4},
	Read = {1},
	Title = {Pre-asymptotic stability and homogeneous approximation of hybrid dynamical systems},
	Volume = {52},
	Year = {2010}}

@article{GoebelTeel2006,
	Author = {R. Goebel and A. R. Teel},
	Date-Added = {2012-02-15 14:19:47 +0000},
	Date-Modified = {2012-02-15 14:19:47 +0000},
	Journal = {Automatica},
	Pages = {573-587},
	Title = {Solutions to hybrid inclusions via set and graphical convergence with stability theory applications},
	Volume = {42},
	Year = {2006}}

@article{Golberg:1972,
	Author = {M. A. Golberg},
	Date-Added = {2013-10-25 15:26:53 +0000},
	Date-Modified = {2014-01-26 11:43:36 +0000},
	Journal = {The {A}merican {M}athematical {M}onthly},
	Number = {10},
	Pages = {1124-1126},
	Title = {The {D}erivative of a {D}eterminant},
	Volume = {79},
	Year = {1972}}

@article{Grune:2000,
	Annote = {In this paper, the author use the notion of homogeneous approximation to design homogenenous discontinuous feedback laws that liks two different concepts of discontinuous feedbacks.

The authors consider a more general system ($\dx = f(x,u)$), than the papers of 

Kawski, M. (1990). Homogenenous stabilizing feedback laws. Control Theory Adv. Tech., 6(4):497--516,

Malkin, I. G. (1951). A theorem on stability in the first approximation. Dokl. Akad. Nauk SSSR, 76:783--784.

and

Massera, J. L. (1956). Contributions to stability theory. Annals of mathematics, 64(1):182-- 206.

This paper introduces a slightly different concept of homogenenous function (because of the limitation on the degree of homogeneity, and homogeneity with respect to the state and input) and explains how this degree influenciate in the Lipschitz continuity property.

In Section 3, the author considers systems that are homogenenous only with respect to the state and obtains result concerning the design of homogenenous feedback laws by using Lyapunov method. In Section 6, the author studues the stabilization of systems that are homogeneous in both: state and input. Moreover, he also presents results concerning stabilization by using Lyapunov functions.},
	Author = {L. Gr\"{u}ne},
	Date-Added = {2012-11-22 10:07:53 +0000},
	Date-Modified = {2012-11-22 10:32:06 +0000},
	Journal = {{SIAM J. Control Optim.}},
	Number = {4},
	Pages = {1288-1308},
	Title = {Homogeneous state feedback stabilization of homogeneous systems},
	Volume = {38},
	Year = {2000}}

@inproceedings{Grizzle2010,
	Author = {J. W. Grizzle and C. Chevallereau and A. D. Ames and R. W. Sinnet},
	Booktitle = {Proceedings of the 8th {IFAC} Symposium on Nonlinear Control Systems},
	Doi = {10.3182/20100901-3-it-2016.00302},
	Month = {sep},
	Owner = {humberto.shiromoto},
	Pages = {505-532},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.18},
	Title = {3D Bipedal Robotic Walking: Models, Feedback Control, and Open Problems},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.3182/20100901-3-it-2016.00302}}

@article{Grizzle2014,
	Author = {J. W. Grizzle and C. Chevallereau and R. W. Sinnet and A. D. Ames},
	Doi = {10.1016/j.automatica.2014.04.021},
	Journal = {Automatica},
	Number = {8},
	Owner = {humberto.shiromoto},
	Pages = {1955-1988},
	Timestamp = {2015.09.23},
	Title = {Models, feedback control, and open problems of 3D bipedal robotic walking},
	Volume = {50},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2014.04.021}}

@article{GrognardSepulchreBastin1999,
	Author = {F. Grognard and R. Sepulchre and G. Bastin},
	Date-Added = {2014-01-17 09:30:58 +0000},
	Date-Modified = {2014-01-17 09:31:22 +0000},
	Journal = {Syst. \& Contr. Lett.},
	Number = {2},
	Pages = {107-115},
	Title = {Global stabilization of feedforward systems with exponentially unstable {J}acobian linearization},
	Volume = {37},
	Year = {1999}}

@article{Haddad2004,
	Author = {W. M. Haddad and V. Chellaboina and Q. Hui and S. Nersesov},
	Doi = {10.1155/s1024123x04310021},
	Journal = {Mathematical Problems in Engineering},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {225-262},
	Publisher = {Hindawi Publishing Corporation},
	Timestamp = {2015.11.24},
	Title = {Vector dissipativity theory for large-scale impulsive dynamical systems},
	Volume = {2004},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1155/s1024123x04310021}}

@article{Haddadetal2001_part1,
	Abstract = { In this paper we develop Lyapunov and invariant set stability theorems for non-linear impulsive dynamical systems. Furthermore, we generalize dissipativity theory to non-linear dynamical systems with impulsive effects. Specifically, the classical concepts of system storage functions and supply rates are extended to impulsive dynamical systems providing a generalized hybrid system energy interpretation in terms of stored energy, dissipated energy over the continuous-time system dynamics and dissipated energy over the resetting instants. Furthermore, extended Kalman{\^a}€�Yakubovich{\^a}€�Popov conditions in terms of the impulsive system dynamics characterizing dissipativeness via system storage functions are derived. Finally, the framework is specialized to passive and non-expansive impulsive systems to provide a generalization of the classical notions of passivity and non-expansivity for non-linear impulsive systems. These results are used in the second part of this paper to develop extensions of the small gain and positivity theorems for feedback impulsive systems as well as to develop optimal hybrid feedback controllers. },
	Author = {Haddad, Wassim M. and Chellaboina, Vijaysekhar and Kablar, N. A.},
	Date-Added = {2012-10-25 12:42:58 +0000},
	Date-Modified = {2012-10-25 12:52:14 +0000},
	Doi = {10.1080/00207170110081705},
	Eprint = {http://www.tandfonline.com/doi/pdf/10.1080/00207170110081705},
	Journal = {Int. J. Control},
	Number = {17},
	Pages = {1631-1658},
	Title = {Non-linear impulsive dynamical systems. {Part I}: Stability and dissipativity},
	Url = {http://www.tandfonline.com/doi/abs/10.1080/00207170110081705},
	Volume = {74},
	Year = {2001},
	Bdsk-Url-1 = {http://www.tandfonline.com/doi/abs/10.1080/00207170110081705},
	Bdsk-Url-2 = {http://dx.doi.org/10.1080/00207170110081705}}

@article{Haddadetal2001_part2,
	Abstract = { In a companion paper (Nonlinear Impulsive Dynamical Systems. Part I: Stability and Dissipativity) Lyapunov and invariant set stability theorems and dissipativity theory were developed for non-linear impulsive dynamical systems. In this paper we build on these results to develop general stability criteria for feedback interconnections of non-linear impulsive systems. In addition, a unified framework for hybrid feedback optimal and inverse optimal control involving a hybrid non-linear-non-quadratic performance functional is developed. It is shown that the hybrid cost functional can be evaluated in closed-form as long as the cost functional considered is related in a specific way to an underlying Lyapunov function that guarantees asymptotic stability of the non-linear closed-loop impulsive system. Furthermore, the Lyapunov function is shown to be a solution of a steady-state, hybrid Hamilton{\^a}€�Jacobi{\^a}€�Bellman equation. },
	Author = {Haddad, Wassim M. and Chellaboina, Vijaysekhar and Kablar, Nata\v{s}a A.},
	Date-Added = {2012-10-25 12:51:16 +0000},
	Date-Modified = {2012-10-25 12:52:05 +0000},
	Doi = {10.1080/00207170110080959},
	Eprint = {http://www.tandfonline.com/doi/pdf/10.1080/00207170110080959},
	Journal = {Int. J. Control},
	Number = {17},
	Pages = {1659-1677},
	Title = {Non-linear impulsive dynamical systems. {Part II}: Stability of feedback interconnections and optimality},
	Url = {http://www.tandfonline.com/doi/abs/10.1080/00207170110080959},
	Volume = {74},
	Year = {2001},
	Bdsk-Url-1 = {http://www.tandfonline.com/doi/abs/10.1080/00207170110080959},
	Bdsk-Url-2 = {http://dx.doi.org/10.1080/00207170110080959}}

@inproceedings{Haddad2003,
	Author = {W. M. Haddad and V. S. Chellaboina and S. G. Nersesov},
	Booktitle = {Proceedings of the 42nd {IEEE} International Conference on Decision and Control},
	Doi = {10.1109/cdc.2003.1271895},
	Month = {Dec},
	Owner = {humberto.shiromoto},
	Pages = {5603-5608},
	Timestamp = {2016.01.12},
	Title = {Large-scale nonlinear dynamical systems: a vector dissipative systems approach},
	Volume = {6},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2003.1271895}}

@book{Haddad2011,
	Author = {W. M. Haddad and S. G. Nersesov},
	Owner = {humberto.shiromoto},
	Publisher = {Princeton University Press},
	Timestamp = {2016.01.12},
	Title = {Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach},
	Year = {2011}}

@inproceedings{HaddadSadikhov2012,
	Abstract = {In this paper, we develop dissipativity notions for dynamical systems with discontinuous vector fields. Specifically, we consider dynamical systems with Lebesgue measurable and locally essentially bounded vector fields characterized by differential inclusions involving Filippov set-valued maps specifying a set of directions for the system velocity and admitting Filippov solutions with absolutely continuous curves. In particular, we introduce a generalized definition of dissipativity for discontinuous dynamical systems in terms of set-valued supply rate maps and set-valued storage maps consisting of locally Lebesgue integrable supply rates and Lipschitz continuous storage functions, respectively. In addition, we introduce the notion of a set-valued available storage map and a set-valued required supply map, and show that if these maps have closed convex images they specialize to single-valued maps corresponding to the smallest available storage and the largest required supply of the differential inclusion, respectively. Furthermore, we show that all system storage functions are bounded from above by the largest required supply and bounded from below by the smallest available storage, and hence, a dissipative differential inclusion can deliver to its surroundings only a fraction of its generalized stored energy and can store only a fraction of the generalized work done to it.},
	Annote = {Article hard to follow,

The authors generalize the dissipative inequality for discontinuous functions (in particular, Filippov functions).

The main contribution, in my opinion are the lower and upper bound obtained by the authors:

" The set of all possible system storage functions is convex and every system storage function is bounded from below by the available system storage and bounded from above by the required energy supply. "

There are also conditions to switched systems. More precisely, conditions to conclude if switched systems wether dissipative or not.},
	Author = {W. M. Haddad and T. Sadikhov},
	Booktitle = {American Control Conference (ACC), 2012},
	Date-Added = {2012-10-24 08:22:09 +0000},
	Date-Modified = {2014-01-26 11:43:06 +0000},
	Issn = {0743-1619},
	Pages = {1787 -1792},
	Title = {Dissipative differential inclusions, set-valued energy storage and supply rate maps, and discontinuous dynamical systems},
	Year = {2012}}

@book{Hahn1967,
	Author = {W. Hahn},
	Date-Added = {2012-03-20 14:47:00 +0000},
	Date-Modified = {2012-03-20 14:47:43 +0000},
	Publisher = {Springer},
	Title = {Stability of Motion},
	Year = {1967}}

@book{Hale:1980,
	Author = {J. K. Hale},
	Date-Added = {2014-02-04 20:50:16 +0000},
	Date-Modified = {2014-02-04 20:51:16 +0000},
	Edition = {2nd ed.},
	Publisher = {Wiley},
	Title = {Ordinary Differential Equations},
	Year = {1980}}

@article{Hamburger1999,
	Author = {C. Hamburger},
	Doi = {10.1007/s002459900121},
	Journal = {Applied Mathematics and Optimization},
	Month = {Sep},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {183-190},
	Publisher = {Springer Science $\mathplus$ Business Media},
	Timestamp = {2015.11.10},
	Title = {Two Extensions to Finsler's Recurring Theorem},
	Volume = {40},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1007/s002459900121}}

@article{Hammouri19995,
	Abstract = {The feedback stabilization of continuous time {\^I}''r-homogeneous systems has been studied by several authors, see for instance (Dayawansa and Martin, Proceedings of the 28th C.D.C., Tampa, Florida, December, 1989, Hermes, J. Differential Equations 92 (1991) 76{\^a}{\^a}‚¬``89, Hermes, Syst. \& Contr. Lett. 24 (1995) 7{\^a}{\^a}‚¬``11, Kawski, Proceedings of the 27th C.D.C., Texas, 1988, Texas, Kawski, Control Theory and Advanced Technology, vol. 6, MITA Press, Tokyo, 1996, pp. 497{\^a}{\^a}‚¬``516, Sepulchre and Aeyels, Math. Control Signal Systems 9 (1996) 34{\^a}{\^a}‚¬``58). In (Kawski, Analysis of Controlled Dynamical Systems, Birkhauser, Basel, 1991, Kawski, Proceedings of IFAC NOLCOS, 1995), Kawski gave an intrinsic concept of homogeneity with respect to general smooth dilations. In this note, we define the homogeneity of transition maps w.r.t. continuous dilations and we show how one can construct a global stabilizing feedback control for discrete-time homogeneous systems which are locally asymptotically stabilizable.},
	Author = {H. Hammouri and S. Benamor},
	Date-Added = {2012-11-22 17:34:38 +0000},
	Date-Modified = {2012-11-22 17:50:42 +0000},
	Doi = {10.1016/S0167-6911(99)00040-7},
	Issn = {0167-6911},
	Journal = {Syst. \& Contr. Lett.},
	Keywords = {Feedback stabilization},
	Number = {1},
	Pages = {5-11},
	Title = {Global stabilization of discrete-time homogeneous systems},
	Url = {http://www.sciencedirect.com/science/article/pii/S0167691199000407},
	Volume = {38},
	Year = {1999},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0167691199000407},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/S0167-6911(99)00040-7}}

@book{Hartman:1982,
	Author = {P. Hartman},
	Date-Added = {2014-01-09 14:27:52 +0000},
	Date-Modified = {2014-01-09 14:28:53 +0000},
	Edition = {2nd},
	Publisher = {SIAM},
	Title = {Ordinary Differential Equations},
	Year = {1982}}

@book{Haykin1999,
	Annote = {Bendixson criterion. r equation','../w/w097310.htm','Whittaker equation','../w/w097840.htm','Wronskian','../w/w098180.htm')" style="background-color:yellow;">N.Kh. Rozov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Bendixson_criterion\&oldid=15963},
	Author = {S. Haykin},
	Date-Added = {2013-04-22 15:58:55 +0000},
	Date-Modified = {2013-04-22 16:06:07 +0000},
	Publisher = {Pearson},
	Title = {Neural networks and learning machines},
	Year = {1999}}

@book{Hazewinkel:1987,
	Annote = {Bendixson criterion. r equation','../w/w097310.htm','Whittaker equation','../w/w097840.htm','Wronskian','../w/w098180.htm')" style="background-color:yellow;">N.Kh. Rozov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Bendixson_criterion\&oldid=15963},
	Author = {M. Hazewinkel},
	Date-Added = {2013-04-22 15:58:55 +0000},
	Date-Modified = {2013-04-22 16:06:07 +0000},
	Publisher = {Kluwer},
	Title = {Encyclopaedia of mathematics},
	Year = {1987}}

@article{HespanhaLiberzonMorse03,
	Author = {J. Hespanha and D. Liberzon and A. S. Morse},
	Date-Added = {2014-01-17 09:33:14 +0000},
	Date-Modified = {2014-01-17 09:33:26 +0000},
	Journal = {Automatica},
	Number = {2},
	Pages = {263-272},
	Title = {Hysteresis-based switching algorithms for supervisory control of uncertain systems},
	Volume = {39},
	Year = {2004}}

@book{Hespanha:2009,
	Author = {J. P. Hespanha},
	Owner = {humbertoshiromoto},
	Publisher = {Princeton University Press},
	Timestamp = {2014.09.17},
	Title = {Linear Systems Theory},
	Year = {2009}}

@article{HespanhaMorseMar99a,
	Annote = {Available at \url{http://www.ece.ucsb.edu/~hespanha/published}},
	Author = {J. P. Hespanha and A. S. Morse},
	Date-Added = {2012-09-25 15:24:59 +0000},
	Date-Modified = {2014-01-24 08:06:46 +0000},
	Journal = {Automatica, \textnormal{Special Issue on Hybrid Systems}},
	Number = {3},
	Pages = {385-393},
	Title = {Stabilization of Nonholonomic Integrators via Logic-Based Switching},
	Volume = {35},
	Year = {1999}}

@article{Hewer1974,
	Author = {G. A. Hewer},
	Doi = {10.1090/s0002-9939-1974-0333315-0},
	Journal = {Proceedings of the American Mathematical Society},
	Month = {jan},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {151-151},
	Publisher = {American Mathematical Society ({AMS})},
	Timestamp = {2016.01.21},
	Title = {A generalization of an inequality of Coppel},
	Volume = {44},
	Year = {1974},
	Bdsk-Url-1 = {https://doi.org/10.1090/s0002-9939-1974-0333315-0}}

@book{Horn1991,
	Author = {R. A. Horn and C. R. Johnson},
	Owner = {humberto.shiromoto},
	Publisher = {Cambridge University Press},
	Timestamp = {2016.02.08},
	Title = {Topics in Matrix Analysis},
	Year = {1991}}

@article{Horvath:1997,
	Author = {C. D. Horvath and M. Lassonde},
	Date-Added = {2014-05-09 15:33:17 +0000},
	Date-Modified = {2014-05-09 15:34:16 +0000},
	Journal = {Proceedings of the American Mathematical Society},
	Number = {4},
	Pages = {1209-1214},
	Title = {Intersection of sets with $n$-connected unions},
	Volume = {125},
	Year = {1997}}

@techreport{Horvath:2014,
	Address = {The Netherlands},
	Author = {K. Horvath},
	Institution = {INCAS3},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.09.18},
	Title = {Equations of motion in a three-pipe system},
	Type = {Technical Report},
	Year = {2014}}

@article{Hu2004,
	Author = {G.-D. Hu and M. Liu},
	Doi = {10.1016/j.laa.2004.04.015},
	Journal = {Linear Algebra and its Applications},
	Month = {oct},
	Owner = {humberto.shiromoto},
	Pages = {145-154},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.10.23},
	Title = {The weighted logarithmic matrix norm and bounds of the matrix exponential},
	Volume = {390},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.laa.2004.04.015}}

@unpublished{Hunter:2013,
	Author = {J. K. Hunter},
	Date-Added = {2014-03-12 09:05:54 +0000},
	Date-Modified = {2014-03-12 09:07:24 +0000},
	Month = {03},
	Note = {University of {C}alifornia at {D}avis},
	Title = {Notes on Partial Differential Equations},
	Year = {2013}}

@unpublished{Hunter:2011,
	Annote = {https://www.math.ucdavis.edu/~hunter/measure_theory/measure_notes.pdf},
	Author = {J. K. Hunter},
	Date-Added = {2013-11-06 17:49:33 +0000},
	Date-Modified = {2013-11-06 17:51:09 +0000},
	Note = {University of {C}alifornia at {D}avis},
	Title = {Measure {T}heory},
	Year = {2011}}

@book{Isac2008,
	Author = {G. Isac and S. Z. Nemeth},
	Doi = {10.1007/978-0-387-73988-5},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2015.10.27},
	Title = {Scalar and Asymptotic Scalar Derivatives: Theory and Applications},
	Volume = {13},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-0-387-73988-5}}

@book{Isidori:1999,
	Author = {A. Isidori},
	Date-Added = {2013-01-24 16:15:02 +0000},
	Date-Modified = {2013-01-24 16:15:53 +0000},
	Doi = {10.1007/978-1-4471-0549-7},
	Publisher = {Springer},
	Series = {Communications and Control Engineering},
	Title = {Nonlinear Control Systems II},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4471-0549-7}}

@book{Isidori:1995,
	Author = {A. Isidori},
	Date-Added = {2013-04-22 17:31:03 +0000},
	Date-Modified = {2013-04-22 17:32:57 +0000},
	Doi = {10.1007/978-1-84628-615-5},
	Publisher = {Springer},
	Rating = {5},
	Series = {Communications and Control Engineering},
	Title = {Nonlinear Control Systems},
	Year = {1995},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-84628-615-5}}

@article{Ito2006,
	Abstract = {This paper addresses the problem of establishing stability of nonlinear interconnected systems. This paper introduces a mathematical formulation of the state-dependent scaling problems whose solutions directly provide Lyapunov functions proving stability properties of interconnected dissipative systems in a unified manner. Stability criteria are interpreted as sufficient conditions for the existence of solutions to the state-dependent scaling problems. Computing solutions to the problems is straightforward for systems covered by classical stability criteria. It, however, could be too difficult for systems with strong nonlinearity. The main purpose of this paper is to demonstrate the effectiveness beyond formal applicability by focusing on interconnected integral input-to-state stable (iISS) systems and input-to-state stable (ISS) systems. This paper derives small-gain-type theorems for interconnected systems involving iISS systems from the state-dependent scaling formulation. This paper provides solutions and Lyapunov functions explicitly. The new framework seamlessly generalizes the ISS small-gain theorem and classical stability criteria such as the Lp small-gain theorem, the passivity theorems, the circle, and Popov criteria. State-dependence of the scaling is crucial for effective treatment of essential nonlinearities, while constants are sufficient for classical nonlinearities},
	Author = {H. Ito},
	Date-Added = {2013-02-07 09:06:26 +0000},
	Date-Modified = {2014-02-14 10:23:32 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {Control theory;Indium tin oxide;Informatics;Interconnected systems;Lyapunov method;Nonlinear systems;Stability analysis;Stability criteria;Sufficient conditions;Technological innovation;Lyapunov methods;Popov criterion;control nonlinearities;interconnected systems;nonlinear control systems;stability;Lyapunov function;Popov criteria;classical nonlinearities;dissipative system;integral input to state stable system;nonlinear interconnected system;stability;stability criteria;state dependent scaling problem;Dissipation;Lyapunov function;input-to-state stability;integral input-to-state stability;nonlinear interconnected system;small-gain condition;},
	Number = {10},
	Pages = {1626-1643},
	Title = {State-Dependent Scaling Problems and Stability of Interconnected i{ISS} and {ISS} Systems},
	Volume = {51},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.2006.882930}}

@article{Ito:2013,
	Author = {H. Ito and R. Freeman and A. Chaillet},
	Date-Added = {2013-02-28 09:24:53 +0000},
	Date-Modified = {2013-02-28 09:26:04 +0000},
	Journal = {Asian Journal of Control},
	Pages = {11-19},
	Title = {Revisiting the i{ISS} small-gain theorem through transient plus {ISS} small-gain regulation},
	Volume = {15},
	Year = {2013}}

@article{ItoJiang:2009,
	Abstract = {This paper is concerned with conditions for the stability of interconnected nonlinear systems consisting of integral input-to-state stable (iISS) systems with external inputs. The treatment of iISS and input-to-state stable (ISS) systems is unified. Both necessary conditions and sufficient conditions are investigated using a Lyapunov formulation. In the presence of model uncertainty, this paper proves that, for the stability of the interconnected system, at least one subsystem is necessarily ISS which is a stronger stability property in the set of iISS. The necessity of a small-gain-type property is also demonstrated. This paper proposes a common form of smooth Lyapunov functions which can establish the iISS and the ISS of the interconnection comprising iISS and ISS subsystems whenever the small-gain-type condition is satisfied. The result covers situations more general than the earlier study and removes technical conditions assumed in the previous literature. Global asymptotic stability is discussed as a special case.},
	Author = {H. Ito and Z.-P. Jiang},
	Date-Added = {2013-02-07 09:08:51 +0000},
	Date-Modified = {2014-02-14 10:23:44 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {Asymptotic stability;Feedback;Helium;Indium tin oxide;Interconnected systems;Lyapunov method;Nonlinear systems;Stability criteria;Sufficient conditions;Uncertainty;Lyapunov methods;asymptotic stability;interconnected systems;nonlinear control systems;uncertain systems;Lyapunov formulation;global asymptotic stability;integral input-to-state stable system;interconnected nonlinear system stability;model uncertainty;small-gain-type property;Integral input-to-state stability (iISS);Lyapunov function;necessary condition;nonlinear interconnected systems;small gain condition;},
	Number = {10},
	Pages = {2389-2404},
	Title = {Necessary and Sufficient Small Gain Conditions for Integral Input-to-State Stable Systems: A {L}yapunov Perspective},
	Volume = {54},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.2009.2028980}}

@phdthesis{Jarvis-Wloszek2003,
	Address = {CA, United States of America},
	Author = {Z. W. Jarvis-Wloszek},
	Owner = {humberto.shiromoto},
	School = {University of California Berkeley},
	Timestamp = {2015.11.17},
	Title = {Lyapunov Based Analysis and Controller Synthesis for Polynomial Systems Using Sum-of-Squares Optimization},
	Year = {2003}}

@article{Jbilou:2004,
	Author = {K. Jbilou and A. Messaoudi and K. Taba\^a},
	Date-Added = {2014-03-14 15:24:38 +0000},
	Date-Modified = {2014-03-14 15:25:56 +0000},
	Journal = {Linear Algebra and its Applications},
	Pages = {195-210},
	Title = {Some Schur complement identities and applications to matrix extrapolation methods},
	Volume = {392},
	Year = {2004}}

@incollection{Jiang2004,
	Author = {Z.-P. Jiang},
	Booktitle = {Optimal Control, Stabilization and Nonsmooth Analysis},
	Doi = {10.1007/978-3-540-39983-4_13},
	Owner = {humberto.shiromoto},
	Pages = {201-214},
	Publisher = {Springer},
	Timestamp = {2015.11.23},
	Title = {Control of Interconnected Nonlinear Systems: A Small-Gain Viewpoint},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-540-39983-4_13}}

@article{Jiang1999,
	Author = {Z.-P. Jiang},
	Doi = {10.1016/s0005-1098(99)00015-1},
	Journal = {Automatica},
	Month = {jun},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {1131-1139},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.22},
	Title = {A combined backstepping and small-gain approach to adaptive output feedback control},
	Volume = {35},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1016/s0005-1098(99)00015-1}}

@article{Jiangetal:2009,
	Author = {Z.-P. Jiang and Y. Lin and Y. Wang},
	Journal = {Jrl Syst Sci \& Complexity},
	Owner = {humbertoshiromoto},
	Pages = {683-696},
	Timestamp = {2014.10.24},
	Title = {Stabilization of Nonlinear Time-Varying Systems: A Control Lyapunov Function Approach},
	Volume = {22},
	Year = {2009}}

@article{Jiang2015,
	Author = {Z.-P. Jiang and T.-F. Liu},
	Doi = {10.1007/s11633-015-0906-x},
	Journal = {International Journal of Automation and Computing},
	Number = {5},
	Owner = {humberto.shiromoto},
	Pages = {455-466},
	Timestamp = {2015.10.01},
	Title = {A Survey of Recent Results in Quantized and Event-Based Nonlinear Control},
	Volume = {12},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11633-015-0906-x}}

@article{Jiang1997,
	Author = {Z.-P. Jiang and I. M. Y. Mareels},
	Doi = {10.1109/9.557574},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {mar},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {292-308},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {A small-gain control method for nonlinear cascaded systems with dynamic uncertainties},
	Volume = {42},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.557574}}

@article{Jiangetal:1996,
	Abstract = {The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-gain theorem for interconnected input/state-stable (ISS) systems. An ISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for both the subsystems.},
	Author = {Z.-P. Jiang and I. M. Y. Mareels and Y. Wang},
	Date-Added = {2012-11-14 14:18:39 +0000},
	Date-Modified = {2013-06-04 16:58:12 +0000},
	Journal = {Automatica},
	Keywords = {stability},
	Number = {8},
	Pages = {1211-1215},
	Title = {A {L}yapunov formulation of the nonlinear small-gain theorem for interconnected {ISS} systems},
	Volume = {32},
	Year = {1996},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0005109896000519},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/0005-1098(96)00051-9}}

@article{Jiangetal1994,
	Author = {Z.-P. Jiang and A. R. Teel and L. Praly},
	Date-Added = {2012-03-27 07:43:55 +0000},
	Date-Modified = {2012-03-27 07:45:50 +0000},
	Journal = {Mathematics of Control, Signals and Systems},
	Pages = {95-120},
	Title = {Small-gain theorem for {ISS} systems and applications},
	Volume = {7},
	Year = {1994}}

@article{JiangWang2001,
	Author = {Z.-P. Jiang and Y. Wang},
	Date-Added = {2012-04-03 12:02:28 +0000},
	Date-Modified = {2012-04-03 12:03:34 +0000},
	Journal = {Automatica},
	Pages = {857-869},
	Title = {Input-to-state stability for discrete-time nonlinear systems},
	Volume = {37},
	Year = {2001}}

@electronic{Jodeit:2013,
	Author = {M. A. Jodeit},
	Date-Added = {2014-02-02 11:22:17 +0000},
	Date-Modified = {2014-02-02 11:25:47 +0000},
	Lastchecked = {02/02/2013},
	Month = {feb},
	Title = {Cartesian products, measurability and measure},
	Url = {http://www.math.umn.edu/~jodeit/course/Thm5.1.pdf},
	Year = {2013},
	Bdsk-Url-1 = {http://www.math.umn.edu/~jodeit/course/Thm5.1.pdf}}

@inproceedings{Jouffroy2005,
	Author = {J. Jouffroy},
	Booktitle = {Proceedings of the 44th {IEEE} Conference on Decision and Control},
	Doi = {10.1109/cdc.2005.1583029},
	Owner = {humberto.shiromoto},
	Timestamp = {2015.10.07},
	Title = {Some ancestors of contraction analysis},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2005.1583029}}

@inproceedings{Jouffroy2003,
	Author = {J. Jouffroy},
	Booktitle = {Proceedings of the European Control Conference (ECC)},
	Month = {Sep},
	Owner = {humberto.shiromoto},
	Pages = {1315-1321},
	Timestamp = {2015.11.25},
	Title = {A simple extension of contraction theory to study incremental stability properties},
	Year = {2003}}

@article{Jouffroy2010,
	Author = {J. Jouffroy and T. I. Fossen},
	Doi = {10.4173/mic.2010.3.2},
	Journal = {Modeling, Identification and Control},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {93-106},
	Publisher = {Norwegian Society of Automatic Control},
	Timestamp = {2015.12.01},
	Title = {Tutorial on Incremental Stability Analysis using Contraction Theory},
	Volume = {31},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.4173/mic.2010.3.2}}

@book{Kamal2008,
	Author = {R. Kamal},
	Owner = {humbertoshiromoto},
	Publisher = {McGraw Hill},
	Timestamp = {2015.03.19},
	Title = {Embedded Systems: Architecture, Programming, and Design},
	Year = {2008}}

@article{Kanellakopoulos1991,
	Author = {I. Kanellakopoulos and P. V. Kokotovi\'{c} and A. S. Morse},
	Doi = {10.1109/9.100933},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {11},
	Owner = {humberto.shiromoto},
	Pages = {1241-1253},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {Systematic design of adaptive controllers for feedback linearizable systems},
	Volume = {36},
	Year = {1991},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.100933}}

@article{Kawski:1990,
	Annote = {The author presents results concerning the existence of continuous homogenenous feedback laws.

The system under consideration is affine in the controls. In this case, the main difference w.r.t. the works of Malkin (1951) and Massera (1956) is that in their work, it was consdiered an actuator error in the system. In this work, this "disturbance" is considered as function that multiplies the input variable "u".

The author considers the nilpotent approximation (generated by taking Lie brackts of the vector fields) of affine systems. Such an approximation system have some symmetries (e.g. homogeneity with respect to a family of dilations)

The aim of the paper in to design feedback laws that preserve those symmetries for the closed loop system. These feedback laws are called homogeneous feedback laws. Moreover, such feedback laws asymtptocally stabilize the approximating system and locally asymptotically stabilizes the original system. The critical steps for the design of these controls are the construction (or selection) of a submanifold that can made invariant. 

Another interesting part of the work concerns the necessary conditions that the vector fields must satisfy for the existence of homogeneous feedback laws.

Section 3 presents an interesting point of view of homogenenous approximation. The authors starting by consider an automonous system $\dx = F(x)$. Here, for the first time, the state of the approximating system is restricted to a Cone formed by a dilation family and the points that belong to a omega-limit set. The results is presented in Theorem 3.1: the origin is asymptotically stable for $\dx=F(x)$ iff it is asymptotically stable for $\dx=F_0$ (,where F_0 is F restricted to the Cone) 

},
	Author = {M. Kawski},
	Date-Added = {2012-11-21 18:22:21 +0000},
	Date-Modified = {2012-11-21 18:56:42 +0000},
	Journal = {Control Theory Adv. Tech.},
	Number = {4},
	Pages = {497-516},
	Read = {1},
	Title = {Homogenenous stabilizing feedback laws},
	Volume = {6},
	Year = {1990}}

@inproceedings{Kellett:2012,
	Abstract = {Input-to-State Stability (ISS) and its many deriva- tives have proved to be extremely useful in the analysis and design of robustly stable nonlinear systems. In this paper, we present a generalization of ISS that subsumes several ISS-type properties and discuss cases where this generalization may fail.},
	Address = {Maui, Hawaii},
	Annote = {This paper presents a genrelization for the definition of the different Input-to-State asymptotic bounds. The main results of the paper are the definition of this generalization, a definition of wISS stability concept and the characterization of the wISS in termos of the existence of a wISS-Lyapunov function. 

The main definitio, called Multiple-Measure Input Stable (MMIS) is an asymptotical bound on the solution norm (see (2)) that takes into account the measure of the solution, the measure of the initial condition and a measure no the max norm in the solution.

In the table I, by choosing different functions for the bounds, the authors show how this definition is a particular case of the each different ISS concept (ISS, IOS, OSS, IOSS etc).

Althought this defnition is presented, the authors were not able to derive a MMIS-Lyapunov function.

However, they did it for a particular case of MMIS. Firstly, they define this particular case by calling it wISS and define also what is a wISS-Lyapunov function (see Definition 4). Then, in Proposition 1, the authors charaterize the this stability concept by proving that a system being wISS is equivalent to the existence of a wISS-Lyapunov function for it.

Some comentaries are made about Stability with respect to 2 measures (developped by Teel and Praly) as well as IOS-Lyapunov functions.},
	Author = {C. M. Kellett and P. M. Dower},
	Booktitle = {Proceedings of the 51st {IEEE} Conference on Decision and Control},
	Date-Added = {2013-01-22 10:29:22 +0000},
	Date-Modified = {2014-01-26 11:45:18 +0000},
	Pages = {2970-2975},
	Title = {A generalization of {I}nput-to-{S}tate {S}tability},
	Year = {2012}}

@conference{Kellett:2004,
	Author = {C. M. Kellett and L. Praly},
	Booktitle = {Proceedings of the 6th {IFAC} Symposium on Nonlinear Control Systems (NOLCOS'04)},
	Date-Added = {2014-01-27 17:52:23 +0000},
	Date-Modified = {2014-02-12 18:43:31 +0000},
	Title = {Nonlinear control tools for low thrust orbital transfer},
	Year = {2004}}

@book{Khalil:2001,
	Author = {H. K. Khalil},
	Date-Added = {2013-04-20 16:56:45 +0000},
	Date-Modified = {2013-04-20 16:58:19 +0000},
	Edition = {3rd},
	Publisher = {Prentice Hall},
	Title = {Nonlinear Systems},
	Year = {2001}}

@article{Knockaert2005,
	Author = {L. Knockaert},
	Doi = {10.1016/j.sysconle.2005.01.004},
	Journal = {Syst. \& Contr. Lett.},
	Month = {sep},
	Number = {9},
	Owner = {humberto.shiromoto},
	Pages = {865-869},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.11.24},
	Title = {A note on strict passivity},
	Volume = {54},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.sysconle.2005.01.004}}

@article{Kokotovic:1992,
	Abstract = {It is argued that, for a cautious design, a nonlinear analysis is needed to reveal when and why linear tools fail. Emerging nonlinear tools that can be used to overcome the limitations of nonlinear designs are discussed. It is shown that some of these tools can be made adaptive and applied to nonlinear systems with unknown parameters. The emergence of robust designs for nonlinear 'interval' plants is pointed out.<>},
	Author = {P. V. Kokotovi\'{c}},
	Date-Added = {2014-01-17 10:00:48 +0000},
	Date-Modified = {2014-01-27 22:46:00 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {adaptive control;control system synthesis;nonlinear control systems;adaptive control;control system synthesis;nonlinear systems;robust designs;Aircraft propulsion;Books;Chaos;Clouds;Control systems;Feedback control;H infinity control;Military aircraft;Military computing;Speech},
	Number = {3},
	Pages = {7-17},
	Title = {The {J}oy of {F}eedback: {N}onlinear and {A}daptative},
	Volume = {12},
	Year = {1992},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/37.165507}}

@article{Korobov2008,
	Author = {V. I. Korobov and S. S. Pavlichkov},
	Doi = {10.1016/j.jmaa.2007.12.070},
	Journal = {Journal of Mathematical Analysis and Applications},
	Month = {jun},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {1426-1439},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.22},
	Title = {Global properties of the triangular systems in the singular case},
	Volume = {342},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jmaa.2007.12.070}}

@article{Kozin1969,
	Author = {F. Kozin},
	Doi = {10.1016/0005-1098(69)90060-0},
	Journal = {Automatica},
	Owner = {humberto.shiromoto},
	Pages = {95-112},
	Timestamp = {2015.09.01},
	Title = {A Survey of Stability of Stochastic Systems},
	Volume = {5},
	Year = {1969},
	Bdsk-Url-1 = {https://doi.org/10.1016/0005-1098(69)90060-0}}

@book{Krstic1995,
	Author = {M. Krsti\'{c} and I. Kanellakopoulos and P. V. Kokotovi\'{c}},
	Date-Added = {2014-01-21 15:30:27 +0000},
	Date-Modified = {2014-01-21 15:30:47 +0000},
	Publisher = {Wiley},
	Title = {Nonlinear and Adaptive Control Design},
	Year = {1995}}

@other{Kudryavtsev:2013,
	Author = {L. D. Kudryavtsev},
	Date-Added = {2013-05-29 17:11:19 +0000},
	Date-Modified = {2014-01-26 11:44:02 +0000},
	Lastchecked = {05/29/2013},
	Title = {Ostrogradski formula, {\it {E}ncyclopedia of {M}athematics}},
	Url = {http://www.encyclopediaofmath.org/index.php?title=Ostrogradski_formula&oldid=12667},
	Urldate = {05/29/2013},
	Year = {2013},
	Bdsk-Url-1 = {http://www.encyclopediaofmath.org/index.php?title=Ostrogradski_formula&oldid=12667}}

@book{Kundur1994,
	Author = {P. Kundur},
	Owner = {humberto.shiromoto},
	Publisher = {McGraw Hill},
	Timestamp = {2016.03.15},
	Title = {Power System Stability and Control},
	Year = {1994}}

@book{Kuratowski1961,
	Author = {K. Kuratowski},
	Editor = {Pergamon Press},
	Owner = {humbertoshiromoto},
	Publisher = {Pergamon Press},
	Timestamp = {2014.10.14},
	Title = {Introduction to Set Theory and Topology},
	Year = {1961}}

@book{Kurtz:2004,
	Author = {D. S. Kurtz and C. W. Swartz},
	Date-Added = {2014-01-19 17:01:15 +0000},
	Date-Modified = {2014-01-19 17:02:52 +0000},
	Editor = {Series in Real Analysis},
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	Title = {Theories of Integration: The integrals of Riemann, Lebesgue, Henstock-Kurzweil, and McShane},
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@article{Loefberg2009,
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	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {may},
	Number = {5},
	Owner = {humberto.shiromoto},
	Pages = {1007-1011},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.12},
	Title = {Pre- and Post-Processing Sum-of-Squares Programs in Practice},
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	Year = {2009},
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@inproceedings{Loefberg2004,
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	Owner = {humberto.shiromoto},
	Pages = {284-289},
	Timestamp = {2016.03.12},
	Title = {{YALMIP} : a toolbox for modeling and optimization in {MATLAB}},
	Url = {http://dx.doi.org/10.1109/CACSD.2004.1393890},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CACSD.2004.1393890},
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	Title = {A {L}yapunov Characterization of Robust Stabilization},
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	Year = {1999}}

@unpublished{LeeSeshia,
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	Timestamp = {2015.03.18},
	Title = {Introduction to Embedded Systems: A Cyber-Physical Systems Approach}}

@book{Lefschetz:1977,
	Author = {S. Lefschetz},
	Date-Added = {2014-01-09 14:25:20 +0000},
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@book{LeinevandeWouw2008,
	Author = {R. I. Leine and N. {van de Wouw}},
	Doi = {10.1007/978-3-540-76975-0},
	Publisher = {Springer},
	Series = {Lecture Notes in Applied and Computational Mechanics},
	Title = {Stability and Convergence of Mechanical Systems with Unilateral Constraints},
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@article{Lewis1951,
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	Owner = {humberto.shiromoto},
	Pages = {48-58},
	Publisher = {{JSTOR}},
	Timestamp = {2015.10.27},
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@article{Lewis1949,
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	Owner = {humberto.shiromoto},
	Pages = {294-312},
	Publisher = {{JSTOR}},
	Timestamp = {2016.02.23},
	Title = {Metric Properties of Differential Equations},
	Volume = {71},
	Year = {1949},
	Bdsk-Url-1 = {https://doi.org/10.2307/2372245}}

@article{LiYao2012,
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	Date-Added = {2012-10-30 22:05:22 +0000},
	Date-Modified = {2012-10-30 22:11:34 +0000},
	Journal = {{SIAM J. Control Optim.}},
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	Title = {Variational inequalities for set-valued vector fields on riemannian manifolds: convexity of the solution set and the proximal point algorithm},
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	Year = {2012}}

@article{Li:2012,
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	Date-Added = {2014-04-14 10:44:34 +0000},
	Date-Modified = {2014-04-14 10:45:19 +0000},
	Journal = {Sustainable Computing: Informatics and Systems},
	Title = {{Temperature Aware Power Allocation: An Optimization Framework and Case Studies}},
	Year = {2012}}

@inbook{Li2014,
	Address = {Grenoble, France},
	Author = {W. Li and D. Sadigh and S. S. Sastry and S. A. Seshia},
	Booktitle = {Tools and Algorithms for the Construction and Analysis of Systems},
	Chapter = {Synthesis and Learning},
	Note = {Proceedings of the 20th International Conference, TACAS 2014, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2014},
	Owner = {humbertoshiromoto},
	Pages = {470-484},
	Publisher = {Springer},
	Timestamp = {2015.03.22},
	Title = {Synthesis for Human-in-the-Loop Control Systems},
	Year = {2014}}

@article{Liapounoff1907,
	Author = {A. Liapounoff},
	Journal = {Annales de la facult{\'e} des sciences de Toulouse},
	Language = {fre},
	Owner = {humberto.shiromoto},
	Pages = {203-474},
	Publisher = {Universit?Paul Sabatier},
	Timestamp = {2015.11.16},
	Title = {Probl{\`e}me g{\'e}n{\'e}ral de la stabilit{\'e} du mouvement},
	Url = {http://eudml.org/doc/72801},
	Volume = {9},
	Year = {1907},
	Bdsk-Url-1 = {http://eudml.org/doc/72801}}

@article{Liberzon1999,
	Author = {D. Liberzon and A. S. Morse},
	Doi = {10.1109/37.793443},
	Journal = {{IEEE} Contr. Syst. Mag.},
	Number = {5},
	Owner = {humberto.shiromoto},
	Pages = {59-70},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {Basic problems in stability and design of switched systems},
	Volume = {19},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1109/37.793443}}

@article{Liberzon:2013,
	Author = {D. Liberzon and D. Ne\v{s}i\'c and A. R. Teel},
	Date-Added = {2013-04-23 09:06:20 +0000},
	Date-Modified = {2013-06-21 08:52:21 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {6},
	Pages = {1395-1410},
	Title = {Lyapunov-Based Small-Gain Theorems for Hybrid Systems},
	Volume = {59},
	Year = {2013}}

@inproceedings{Liberzon:2012,
	Abstract = {We study stability of hybrid systems described as feedback interconnections of smaller subsystems, within a Lyapunov-based ISS small-gain analysis framework. We focus on constructing a weak (nonstrictly decreasing) Lya- punov function for the overall hybrid system from weak ISS- Lyapunov functions for the subsystems in the interconnection. Asymptotic stability of the hybrid system is then concluded by applying results of LaSalle type. The utility of this approach is illustrated on feedback systems arising in event-triggered control and quantized control.},
	Address = {Maui, Hawaii},
	Annote = {This paper presents a methodology for the analysis of stability of hybrid systems, in the sense developped by Teel, Goebel and Sanfelice. 

The main idea consists of decompose the original system into two interconnected subsystems that have the same jump and flow sets as the original system. 

The main result of this paper is Proposition 1, here it is shown that a storage function decreases along solution with a particular behavior: the solutions neither have two jumps in a row nor two flows in a row. 

In the following, the authors show that the result from Proposition 1 is sufficient to some systems as illustred by Section IV.A. "Emulation with event-triggered sampling", where solutions behave as in the hypothesis of that Proposition.},
	Author = {D. Liberzon and D. Ne\v{s}i\'c and A. R. Teel},
	Booktitle = {Proceedings of the 51st {IEEE} Conference on Decision and Control},
	Date-Added = {2013-01-22 15:32:58 +0000},
	Date-Modified = {2014-01-26 11:44:22 +0000},
	Pages = {6825-6830},
	Rating = {3},
	Read = {1},
	Title = {Small-gain theorem of {L}a{S}alle type for hybrid systems},
	Year = {2012}}

@article{Lin:1995,
	Author = {Y. Lin and E. D. Sontag},
	Journal = {Control Theory Adv. Tech.},
	Number = {(4, part 5)},
	Owner = {humbertoshiromoto},
	Pages = {1981-2004},
	Timestamp = {2014.10.28},
	Title = {Control-Lyapunov Universal Formulas for Restricted Inputs},
	Volume = {10},
	Year = {1995}}

@article{Lin1991,
	Author = {Y. Lin and E. D. Sontag},
	Journal = {Syst. \& Contr. Lett.},
	Number = {6},
	Owner = {humbertoshiromoto},
	Pages = {393-397},
	Timestamp = {2014.10.28},
	Title = {A universal Formula for Stabilization with Bounded Controls},
	Volume = {16},
	Year = {1991}}

@article{Linetal1996,
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	Date-Added = {2012-03-05 18:04:23 +0000},
	Date-Modified = {2012-03-05 18:05:20 +0000},
	Journal = {SIAM J. Control Optim.},
	Number = {1},
	Pages = {124-160},
	Title = {A smooth converse Lyapunov theorem for robust stability},
	Volume = {34},
	Year = {1996}}

@article{Liu2011,
	Author = {Y.-Y. Liu and J.-J. E. Slotine and A.-L. Barab{\'{a}}si},
	Doi = {10.1038/nature10011},
	Journal = {Nature},
	Month = {may},
	Number = {7346},
	Owner = {humberto.shiromoto},
	Pages = {167-173},
	Publisher = {Nature Publishing Group},
	Timestamp = {2016.01.18},
	Title = {Controllability of complex networks},
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	Year = {2011},
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	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {683-696},
	Timestamp = {2015.08.05},
	Title = {On Contraction Analysis for Nonlinear Systems},
	Volume = {34},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1016/S0005-1098(98)00019-3}}

@book{Luenberger:1979,
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	Date-Added = {2014-05-18 21:48:06 +0000},
	Date-Modified = {2014-05-18 21:49:01 +0000},
	Publisher = {John Wiley \& Sons},
	Title = {Introduction to Dynamic Systems - Theory, Models, and Applications},
	Year = {1979}}

@book{Luenberger1969,
	Author = {D. G. Luenberger},
	Owner = {humberto.shiromoto},
	Publisher = {Wiley \& Sons},
	Timestamp = {2016.02.01},
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@article{Lyapunov1907,
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	Date-Added = {2012-02-12 16:29:39 +0000},
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	Journal = {Annales de la facult\'e des sciences de Toulouse},
	Number = {2e s\'erie},
	Pages = {203-474},
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	Volume = {9},
	Year = {1907}}

@inproceedings{Lygerosetal1999,
	Address = {Phoenix},
	Author = {J. Lygeros and K. H. Johansson and S. Sastry and M. Egerstedt},
	Booktitle = {Proceedings of the 38th {IEEE} Conference on Decision and Control},
	Date-Added = {2012-02-25 15:28:46 +0000},
	Date-Modified = {2012-02-25 15:51:56 +0000},
	Pages = {2249--2254},
	Title = {On the existence of executions of hybrid automata},
	Year = {1999}}

@article{Lygerosetal2003,
	Author = {J. Lygeros and K. H. Johansson and S. N. Simi\'c and J. Zhang and S. S. Sastry},
	Date-Added = {2012-02-25 15:31:30 +0000},
	Date-Modified = {2012-02-25 15:36:38 +0000},
	Journal = {{IEEE} Trans. Automat. Control},
	Number = {1},
	Pages = {2--17},
	Title = {Dynamical properties of hybrid automata},
	Volume = {48},
	Year = {2003}}

@book{Lyshevski2002,
	Author = {S. E. Lyshevski},
	Edition = {1st},
	Month = {Jan.},
	Owner = {gebruiker},
	Publisher = {CRC Press},
	Series = {Nano- and Microscience, Engineering, Technology and Medicine},
	Timestamp = {2015.05.10},
	Title = {MEMS and NEMS: Systems, Devices, and Structures},
	Year = {2002}}

@article{Ma2010,
	Author = {R. Ma and J. Zhao},
	Doi = {10.1016/j.automatica.2010.06.050},
	Journal = {Automatica},
	Month = {nov},
	Number = {11},
	Owner = {humberto.shiromoto},
	Pages = {1819-1823},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.22},
	Title = {Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings},
	Volume = {46},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2010.06.050}}

@book{Mackey1992,
	Author = {M. C. Mackey},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2015.08.27},
	Title = {Times Arrow: The origins of Thermodynamic Behavior},
	Year = {1992}}

@article{Malkin:1951,
	Author = {I. G. Malkin},
	Date-Added = {2012-11-21 15:26:47 +0000},
	Date-Modified = {2012-11-21 15:28:49 +0000},
	Journal = {Dokl. Akad. Nauk SSSR},
	Pages = {783-784},
	Title = {A theorem on stability in the first approximation},
	Volume = {76},
	Year = {1951}}

@inproceedings{Manchester2011,
	Address = {Milano, Italy},
	Author = {I. Manchester},
	Booktitle = {Proceedings of the 18th {IFAC} World Congress},
	Doi = {10.3182/20110828-6-it-1002.03063},
	Month = {aug},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {6285-6290},
	Timestamp = {2015.11.24},
	Title = {Transverse Dynamics and Regions of Stability for Nonlinear Hybrid Limit Cycles},
	Volume = {18},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.3182/20110828-6-it-1002.03063}}

@article{Manchester2011a,
	Author = {I. R. Manchester and U. Mettin and F. Iida and R. Tedrake},
	Doi = {10.1177/0278364910395339},
	Journal = {The International Journal of Robotics Research},
	Month = {jan},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {265-279},
	Publisher = {{SAGE} Publications},
	Timestamp = {2016.01.14},
	Title = {Stable dynamic walking over uneven terrain},
	Volume = {30},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1177/0278364910395339}}

@article{Manchester2014,
	Archiveprefix = {arXiv},
	Author = {I. R. Manchester and J.-J. E. Slotine},
	Doi = {10.1016/j.sysconle.2013.10.005},
	Eprint = {1209.4433},
	Journal = {Syst. \& Contr. Lett.},
	Month = {jan},
	Owner = {humberto.shiromoto},
	Pages = {32-38},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.11.18},
	Title = {Transverse contraction criteria for existence, stability, and robustness of a limit cycle},
	Volume = {63},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.sysconle.2013.10.005}}

@inproceedings{Manchester2014a,
	Address = {Cape Town, South Africa},
	Archiveprefix = {arXiv},
	Author = {I. R. Manchester and J.-J. E. Slotine},
	Booktitle = {Proceedings of the 19th {IFAC} World Congress},
	Doi = {10.3182/20140824-6-za-1003.02100},
	Eprint = {1503.03144},
	Month = {Aug},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {8223-8228},
	Timestamp = {2015.11.10},
	Title = {Control Contraction Metrics and Universal Stabilizability},
	Volume = {19},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.3182/20140824-6-za-1003.02100}}

@book{Mane1983,
	Author = {R. Mane},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2015.08.27},
	Title = {Ergodic Theory and Differentiable Dynamics},
	Year = {1983}}

@book{Marwedel2011,
	Author = {P. Marwedel},
	Edition = {2nd},
	Owner = {humbertoshiromoto},
	Publisher = {Springer},
	Timestamp = {2015.03.19},
	Title = {Embedded System Design - Embedded Systems Foundations of Cyber-Physical Systems},
	Year = {2011}}

@conference{Marzocchi:2005,
	Author = {A. Marzocchi},
	Booktitle = {XXX Ravello Summer School},
	Date-Added = {2013-06-28 13:53:20 +0000},
	Date-Modified = {2013-07-10 15:42:10 +0000},
	Title = {Singular Stresses and Nonsmooth Boundaries in Continuum Mechanics},
	Year = {2005}}

@article{Massera:1956,
	Annote = {In this paper, the authos compiles different results concerning the stability theory.

Starting with the Lyapunov's criteria for stability, the author shows generalization of sufficient conditions stability and unstability of equilibrium points.

In Section 3 (On asymptotic stability), the authors present what were the stability concepts :

- In the sense of Lyapunov
- Uniform stability
- Asymptotic stability in the sense of Lyapunov
- Equiasymptotic stability
- Uniform-asymptotic stability
- Exponential-asymptotic stability

The author proves what are the relationship between these concepts and what the flow map $f$ must satisfy in order to have some relationship. 

Also, the authors compiles a list of sufficient conditions for the different concepts of stability by means of the existence of a Lyapunov function. An interesting illustration concerning these theorems is given in Figure 5.

In Section 5, the author presents the theorem to allows one to conclude about stability of the origin by analysing the homogeneity of a function at the origin.},
	Author = {J. L. Massera},
	Date-Added = {2012-11-21 15:04:56 +0000},
	Date-Modified = {2012-11-21 15:17:22 +0000},
	Journal = {Annals of mathematics},
	Number = {1},
	Pages = {182-206},
	Read = {1},
	Title = {Contributions to stability theory},
	Volume = {64},
	Year = {1956}}

@article{Mayhewetal2012,
	Abstract = {We apply recent results on robust global asymptotic stabilization of the attitude of a single rigid body to the problem of globally synchronizing the attitude of a network of rigid bodies using a decentralized strategy. The proposed hybrid feedback scheme relies on the communication of a binary logic variable between each pair of neighboring rigid bodies that determines the orientation of a torque component acting to reduce their relative error. Through a hysteretic switch of this logic variable, the hybrid feedback achieves global synchronization under the assumption that the network is connected and acyclic. The hysteresis eliminates chattering while preventing the #x201C;unwinding phenomenon #x201D; apparent in some quaternion-based attitude control schemes. The results are exercised in a numerical example.},
	Author = {C. G. Mayhew and R. G. Sanfelice and J. Sheng and M. Arcak and A. R. Teel},
	Date-Added = {2012-10-31 10:38:03 +0000},
	Date-Modified = {2014-01-26 11:42:53 +0000},
	Doi = {10.1109/TAC.2011.2180777},
	Issn = {0018-9286},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {binary logic variable;decentralized strategy;hybrid feedback scheme;quaternion based attitude control;quaternion based hybrid feedback;robust global asymptotic stabilization;robust global attitude synchronization;torque component;unwinding phenomenon;asymptotic stability;attitude control;decentralised control;feedback;formal logic;robust control;synchronisation;},
	Number = {8},
	Pages = {2122-2127},
	Title = {Quaternion-Based Hybrid Feedback for Robust Global Attitude Synchronization},
	Volume = {57},
	Year = {2012},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.2011.2180777}}

@article{MayhewSanfeliceTeel2011,
	Abstract = {It is well known that controlling the attitude of a rigid body is subject to topological constraints. We illustrate, with examples, the problems that arise when using continuous and (memoryless) discontinuous quaternion-based state-feedback control laws for global attitude stabilization. We propose a quaternion-based hybrid feedback scheme that solves the global attitude tracking problem in three scenarios: full state measurements, only measurements of attitude, and measurements of attitude with angular velocity measurements corrupted by a constant bias. In each case, the hybrid feedback is dynamic and incorporates hysteresis-based switching using a single binary logic variable for each quaternion error state. When only attitude measurements are available or the angular rate is corrupted by a constant bias, the proposed controller is observer-based and incorporates an additional quaternion filter and bias observer. The hysteresis mechanism enables the proposed scheme to simultaneously avoid the #x201C;unwinding phenomenon #x201D; and sensitivity to arbitrarily small measurement noise that is present in discontinuous feedbacks. These properties are shown using a general framework for hybrid systems, and the results are demonstrated by simulation.},
	Author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel},
	Date-Added = {2012-11-02 18:36:16 +0000},
	Date-Modified = {2014-01-26 11:42:59 +0000},
	Doi = {10.1109/TAC.2011.2108490},
	Issn = {0018-9286},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {angular velocity measurements;attitude control;attitude measurements;binary logic;discontinuous quaternion-based state-feedback control laws;global attitude stabilization;hysteresis-based switching;measurement noise;quaternion-based hybrid control;quaternion-based hybrid feedback scheme;robust global attitude tracking;state measurements;unwinding phenomenon;angular velocity measurement;attitude control;attitude measurement;robust control;stability;state feedback;},
	Number = {11},
	Pages = {2555-2566},
	Title = {Quaternion-Based Hybrid Control for Robust Global Attitude Tracking},
	Volume = {56},
	Year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.2011.2108490}}

@inproceedings{MayhewSanfeliceTeel2011CDC,
	Address = {Orlando, Florida},
	Author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel},
	Booktitle = {Joint Conference on Decision and Control and European Control Conference (CDC-ECC)},
	Date-Added = {2014-01-17 09:35:41 +0000},
	Date-Modified = {2014-01-17 09:35:52 +0000},
	Pages = {7428-7433},
	Title = {Further results on synergistic {L}yapunov functions and hybrid feedback design through backstepping},
	Year = {2011}}

@article{MazencPraly96,
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	Date-Added = {2014-01-17 09:31:32 +0000},
	Date-Modified = {2014-01-17 09:31:39 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {11},
	Pages = {1559-1578},
	Title = {{Adding integrations, saturated controls, and stabilization for feedforward systems}},
	Volume = {41},
	Year = {1996}}

@book{McShane:1947,
	Author = {E. J. Mc{S}hane},
	Date-Added = {2014-02-17 13:04:14 +0000},
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	Publisher = {Princeton University Press},
	Title = {Integration},
	Year = {1947}}

@article{Megretski1997,
	Author = {A. Megretski and A. Rantzer},
	Doi = {10.1109/9.587335},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {jun},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {819-830},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.18},
	Title = {System analysis via integral quadratic constraints},
	Volume = {42},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.587335}}

@book{Mesbahi2010,
	Author = {M. Mesbahi and M. Egerstedt},
	Isbn = {0691140618,9780691140612},
	Owner = {humberto.shiromoto},
	Publisher = {Princeton University Press},
	Series = {Princeton Series in Applied Mathematics},
	Timestamp = {2016.02.08},
	Title = {Graph Theoretic Methods in Multiagent Networks},
	Year = {2010}}

@inproceedings{Michel:2012,
	Address = {Maui, Hawaii},
	Author = {A. N. Michel and L. Hou},
	Booktitle = {Proceedings of the 51st {IEEE} Conference on Decision and Control},
	Date-Added = {2013-01-22 18:29:30 +0000},
	Date-Modified = {2014-01-26 11:44:38 +0000},
	Pages = {2940-2945},
	Title = {Relaxation of hypotheses in {L}a{S}alle-{K}rasovskii type invariance results},
	Year = {2012}}

@book{Michel2008,
	Author = {A. N. Michel and L. Hou and D. Liu},
	Doi = {10.1007/978-0-8176-4649-3},
	Edition = {1st},
	Owner = {humberto.shiromoto},
	Publisher = {Birkh\"{a}user Boston},
	Timestamp = {2015.10.13},
	Title = {Stability of Dynamical Systems},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-0-8176-4649-3}}

@article{Mimna:1997,
	Annote = {http://projecteuclid.org/euclid.rae/1337086093},
	Author = {R. A. Mimna and R. A. Mimna},
	Date-Added = {2014-01-21 19:19:28 +0000},
	Date-Modified = {2014-01-21 19:21:15 +0000},
	Journal = {Real Analysis Exchange},
	Number = {1},
	Pages = {251-251},
	Title = {Locally {B}ounded {F}unctions},
	Volume = {23},
	Year = {1997}}

@phdthesis{Monzon:2006,
	Author = {P. Monz\'{o}n},
	Date-Added = {2014-01-31 09:48:03 +0000},
	Date-Modified = {2014-02-02 10:18:40 +0000},
	School = {Universidad de la rep\'{u}blica oriental del Uruguay instituto de ingenier\'ia el\'{e}ctrica},
	Title = {Almost global stability of dynamical systems},
	Year = {2006}}

@article{Moreau:2000,
	Author = {L. Moreau and D. Aeyels},
	Date-Added = {2013-03-26 13:23:41 +0000},
	Date-Modified = {2014-01-26 11:45:04 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {8},
	Pages = {1554-1558},
	Title = {{P}ractical {S}tability and {S}tabilization},
	Volume = {45},
	Year = {2000}}

@inproceedings{MoreauAeyels:1998,
	Abstract = {Systems x{\"E}{\texttrademark}(t)=F(t,x(t),{\^I}µ) depending on a small parameter {\^I}µ are considered. We introduce a concept of convergence of such a system to a system x{\"E}{\texttrademark}(t)=G(x(t)). Assuming this convergence, we prove that global asymptotic stability for x{\"E}{\texttrademark}(t)=G(x(t)) implies some notion of ``practical stability'' for x{\"E}{\texttrademark}(t)=F(t,x(t),{\^I}µ) if F({\^A}·,x,{\^I}µ) satisfies a periodicity assumption. We apply this theory to a ``practical stability'' analysis of ``fast time-varying'' systems studied in periodic averaging, and of ``highly oscillatory'' systems studied by Sussmann and Liu (1991). We use this theory for the ``practical stabilization'' of a class of driftless control-affine systems},
	Author = {L. Moreau and D. Aeyels},
	Booktitle = {Proceedings of the 37th {IEEE} Conference on Decision and Control},
	Date-Added = {2013-03-26 13:29:36 +0000},
	Date-Modified = {2013-03-26 13:30:34 +0000},
	Doi = {10.1109/CDC.1998.758487},
	Issn = {0191-2216},
	Keywords = {asymptotic stability;control system analysis;convergence;time-varying systems;driftless control-affine systems;fast time-varying systems;global asymptotic stability;highly oscillatory systems;periodic averaging;periodicity assumption;practical stability;Approximation algorithms;Asymptotic stability;Control systems;Convergence;Feedback;Paper technology;Stability analysis;Sufficient conditions},
	Pages = {1428-1433},
	Title = {Practical stability for systems depending on a small parameter},
	Volume = {2},
	Year = {1998},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.1998.758487}}

@article{Moulay2011,
	Author = {E. Moulay},
	Doi = {10.1007/s10958-011-0468-6},
	Journal = {Journal of Mathematical Sciences},
	Month = {aug},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {419-425},
	Publisher = {Springer Science $\mathplus$ Business Media},
	Timestamp = {2015.11.27},
	Title = {Morse theory and Lyapunov stability on manifolds},
	Volume = {177},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10958-011-0468-6}}

@article{Moylan1978,
	Author = {P. Moylan and D. Hill},
	Doi = {10.1109/tac.1978.1101721},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {apr},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {143--149},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.11.24},
	Title = {Stability criteria for large-scale systems},
	Volume = {23},
	Year = {1978},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.1978.1101721}}

@inproceedings{Munir2014,
	Address = {Berkeley, CA, USA},
	Author = {S. Munir and J. A. Stankovic and C. J. M. Liang and S. Lin},
	Booktitle = {Presented as part of the 8th International Workshop on Feedback Computing},
	Owner = {humbertoshiromoto},
	Timestamp = {2015.03.22},
	Title = {Cyber Physical System Challenges for Human-in-the-Loop Control},
	Year = {2014}}

@book{Munkres1975,
	Author = {J. R. Munkres},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.10.14},
	Title = {Topology: A First Course},
	Year = {1975}}

@book{Murray2003,
	Author = {J. D. Murray},
	Doi = {10.1007/b98869},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Interdisciplinary Applied Mathematics},
	Timestamp = {2016.03.15},
	Title = {Mathematical Biology II: Spatial Models and Biomedical Applications},
	Volume = {18},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1007/b98869}}

@book{Murray2002,
	Author = {J. D. Murray},
	Doi = {10.1007/b98868},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Interdisciplinary Applied Mathematics},
	Timestamp = {2016.03.15},
	Title = {Mathematical Biology I. An Introduction},
	Volume = {17},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1007/b98868}}

@article{Murty1987,
	Author = {K. G. Murty and S. N. Kabadi},
	Doi = {10.1007/bf02592948},
	Journal = {Mathematical Programming},
	Month = {jun},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {117-129},
	Publisher = {Springer Science $\mathplus$ Business Media},
	Timestamp = {2015.11.16},
	Title = {Some {NP}-complete problems in quadratic and nonlinear programming},
	Volume = {39},
	Year = {1987},
	Bdsk-Url-1 = {https://doi.org/10.1007/bf02592948}}

@inproceedings{NesicTeel2008,
	Author = {D. Ne\v{s}i\'c and A. R. Teel},
	Booktitle = {Proceedings of the 47th {IEEE} Conference on Decision and Control},
	Date-Added = {2012-04-11 16:39:24 +0000},
	Date-Modified = {2012-04-11 22:01:08 +0000},
	Title = {A {L}yapunov-based small-gain theorem for hybrid {ISS} systems},
	Year = {2008}}

@book{Newcomb1966,
	Author = {R. W. Newcomb},
	Owner = {humberto.shiromoto},
	Publisher = {McGraw Hill},
	Timestamp = {2015.10.09},
	Title = {Linear Multiport Synthesis},
	Year = {1966}}

@book{Nijmeijer2003,
	Address = {Singapore},
	Author = {H. Nijmeijer and A. Rodriguez-Angeles},
	Owner = {humberto.shiromoto},
	Publisher = {World Scientific},
	Timestamp = {2016.02.08},
	Title = {Synchronization of Mechanical Systems},
	Year = {2003}}

@book{Ogata2009,
	Author = {K. Ogata},
	Edition = {5th},
	Owner = {gebruiker},
	Publisher = {Prentice Hall},
	Timestamp = {2015.05.14},
	Title = {Modern Control Engineering},
	Year = {2009}}

@article{OlfatiSaber2007,
	Author = {R. Olfati-Saber and J. A. Fax and Richard M. Murray},
	Doi = {10.1109/jproc.2006.887293},
	Journal = {Proceedings of the {IEEE}},
	Month = {jan},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {215-233},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.10},
	Title = {Consensus and Cooperation in Networked Multi-Agent Systems},
	Volume = {95},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1109/jproc.2006.887293}}

@article{PolikTerlaky2007,
	Author = {I. P{\'{o}}lik and T. Terlaky},
	Doi = {10.1137/s003614450444614x},
	Journal = {{SIAM} Rev.},
	Month = {jan},
	Number = {3},
	Pages = {371-418},
	Publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
	Title = {A Survey of the S-Lemma},
	Volume = {49},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1137/s003614450444614x}}

@book{Pachpatte1998,
	Author = {B. G. Pachpatte},
	Publisher = {Academic Press},
	Title = {Inequalities for Differential and Integral Equations},
	Year = {1998}}

@article{PadenSastry:1987,
	Abstract = {This paper develops a calculus for computing Filippov's differential inclusion which simplifies the analysis of dynamical systems described by differential equations with a discontinuous right-hand side. In particular, when a slightly generalized Lyapunov theory is used, the rigorous stability analysis of variable structure systems is routine. As an example, a variable structure control law for rigid-link robot manipulators is described and its stability is proved.},
	Author = {B. Paden and S. S. Sastry},
	Date-Added = {2013-04-25 12:26:25 +0000},
	Date-Modified = {2013-04-25 12:27:08 +0000},
	Doi = {10.1109/TCS.1987.1086038},
	Issn = {0098-4094},
	Journal = {{IEEE} Transactions on Circuits and Systems},
	Keywords = {Jump parameter systems, nonlinear;Nonlinear circuits and systems;Nonlinear differential equations;Robots;Calculus;Control systems;Differential equations;Friction;Manipulator dynamics;Mechanical systems;Q measurement;Robot control;Stability analysis;Variable structure systems},
	Number = {1},
	Pages = {73-82},
	Title = {A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators},
	Volume = {34},
	Year = {1987},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TCS.1987.1086038}}

@book{Pai1989,
	Author = {M. A. Pai},
	Owner = {humberto.shiromoto},
	Publisher = {Kluwer Academic Publishers},
	Timestamp = {2016.03.15},
	Title = {Energy Function Analysis for Power System Stability},
	Year = {1989}}

@article{Pajic2011,
	Author = {M. Pajic and S. Sundaram and G. J. Pappas and R. Mangharam},
	Doi = {10.1109/tac.2011.2163864},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {oct},
	Number = {10},
	Owner = {humberto.shiromoto},
	Pages = {2305-2318},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.14},
	Title = {The Wireless Control Network: A New Approach for Control Over Networks},
	Volume = {56},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2011.2163864}}

@article{PanEzalKrenerKokotovic01,
	Author = {Z. Pan and K. Ezal and A.J. Krener and P. V. Kokotovic},
	Date-Added = {2014-01-17 09:36:49 +0000},
	Date-Modified = {2014-01-17 09:36:59 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {7},
	Pages = {1014-1027},
	Title = {{Backstepping design with local optimality matching}},
	Volume = {46},
	Year = {2001}}

@book{Parker1989,
	Author = {T. S. Parker and L. O. Chua},
	Doi = {10.1007/978-1-4612-3486-9},
	Edition = {1st},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2015.10.16},
	Title = {Practical Numerical Algorithms for Chaotic Systems},
	Year = {1989},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4612-3486-9}}

@article{Parks:1992,
	Author = {P. C. Parks},
	Date-Added = {2014-03-19 10:07:10 +0000},
	Date-Modified = {2014-03-19 10:08:03 +0000},
	Journal = {IMA Journal of Mathematical Control \& Information},
	Pages = {275-303},
	Title = {A. {M}. {L}yapunov's {S}tability {T}heory - 100 {Y}ears on},
	Volume = {9},
	Year = {1992}}

@article{Parrilo2003,
	Author = {P. A. Parrilo},
	Doi = {10.1007/s10107-003-0387-5},
	Journal = {Mathematical Programming},
	Month = {may},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {293-320},
	Publisher = {Springer Science $\mathplus$ Business Media},
	Timestamp = {2016.02.23},
	Title = {Semidefinite programming relaxations for semialgebraic problems},
	Volume = {96},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10107-003-0387-5}}

@article{Pasqualetti2014,
	Author = {F. Pasqualetti and S. Zampieri and F. Bullo},
	Doi = {10.1109/tcns.2014.2310254},
	Journal = {{IEEE} Transactions on Control of Network Systems},
	Month = {mar},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {40-52},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.10},
	Title = {Controllability Metrics, Limitations and Algorithms for Complex Networks},
	Volume = {1},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/tcns.2014.2310254}}

@article{Pavlichkov2016,
	Author = {S. S. Pavlichkov and S. N. Dashkovskiy and C. K. Pang},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Note = {(under review)},
	Owner = {humberto.shiromoto},
	Timestamp = {2016.01.22},
	Title = {Uniform Stabilization of Nonliear Systems with Arbitrary Switchings and Dynamic Uncertainties},
	Year = {2016}}

@article{Pavlichkov2009,
	Author = {S. S. Pavlichkov and S. S. Ge},
	Doi = {10.1109/tac.2009.2024566},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {aug},
	Number = {8},
	Owner = {humberto.shiromoto},
	Pages = {1794-1806},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {Global Stabilization of the Generalized {MIMO} Triangular Systems With Singular Input-Output Links},
	Volume = {54},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2009.2024566}}

@article{Pavlov2004,
	Author = {A. Pavlov and A. Pogromsky and N. van de Wouw and H. Nijmeijer},
	Doi = {10.1016/j.sysconle.2004.02.003},
	Journal = {Systems {\&} Control Letters},
	Month = {jul},
	Number = {3-4},
	Owner = {humberto.shiromoto},
	Pages = {257-261},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.10.06},
	Title = {Convergent dynamics, a tribute to Boris Pavlovich Demidovich},
	Volume = {52},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.sysconle.2004.02.003}}

@article{Pavlov2007,
	Author = {A. Pavlov and N. van de Wouw and H. Nijmeijer},
	Doi = {10.1109/tac.2007.899020},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {jun},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {1159-1165},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.19},
	Title = {Frequency Response Functions for Nonlinear Convergent Systems},
	Volume = {52},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2007.899020}}

@book{PerdigaodoCarmo1976,
	Author = {M. {Perdigao do Carmo}},
	Date-Added = {2012-02-15 16:50:39 +0000},
	Date-Modified = {2012-03-26 13:57:35 +0000},
	Editor = {1st},
	Publisher = {Prentice Hall},
	Title = {Differential Geometry of Curves and Surfaces},
	Year = {1976}}

@article{Persis:2013a,
	Author = {C. de Persis and P. Frasca},
	Date-Added = {2014-01-26 17:35:25 +0000},
	Date-Modified = {2014-01-26 17:37:47 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {58},
	Pages = {3024-3038},
	Title = {Robust Self-Triggered Coordination With Ternary Controllers},
	Volume = {12},
	Year = {2013}}

@article{Persis2014,
	Author = {C. de Persis and B. Jayawardhana},
	Doi = {10.1109/tcns.2014.2338554},
	Journal = {{IEEE} Transactions on Control of Network Systems},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {272-282},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.02.23},
	Title = {On the Internal Model Principle in the Coordination of Nonlinear Systems},
	Volume = {1},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/tcns.2014.2338554}}

@article{Persis2011a,
	Author = {C. de Persis and C. S. Kallesoe},
	Doi = {10.1109/tcst.2010.2094619},
	Journal = {{IEEE} Transactions on Control Systems Technology},
	Month = {nov},
	Number = {6},
	Owner = {gebruiker},
	Pages = {1371-1383},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.03},
	Title = {Pressure Regulation in Nonlinear Hydraulic Networks by Positive and Quantized Controls},
	Volume = {19},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/tcst.2010.2094619}}

@electronic{dePersis:2014,
	Archiveprefix = {arXiv},
	Author = {C. de Persis and R. Postoyan},
	Eprint = {1404.0576},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.10.27},
	Title = {A Lyapunov Redesign of Coordination Algorithms for Cyber-Physical Systems},
	Year = {2014}}

@article{Persis:2013,
	Author = {C. de Persis and R. Sailer and F. Wirth},
	Date-Added = {2014-01-26 11:24:28 +0000},
	Date-Modified = {2014-01-26 11:27:48 +0000},
	Journal = {Automatica},
	Pages = {2116-2124},
	Title = {Parsimonious event-based distribuited control: {A} {Z}eno free approach},
	Volume = {49},
	Year = {2013}}

@article{Persis2013,
	Author = {C. de Persis and R. Sailer and F. Wirth},
	Doi = {10.1016/j.automatica.2013.03.003},
	Journal = {Automatica},
	Owner = {humberto.shiromoto},
	Pages = {2116-2124},
	Timestamp = {2015.09.21},
	Title = {Parsimonious event-triggered distributed control: A Zeno free approach},
	Volume = {49},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2013.03.003}}

@inproceedings{Persis2011,
	Archiveprefix = {arXiv},
	Author = {C. de Persis and R. Sailer and F. R. Wirth},
	Booktitle = {Proceedings of the 18th IFAC World Congress},
	Doi = {10.3182/20110828-6-IT-1002.02057},
	Eprint = {1010.6148},
	Number = {1},
	Owner = {humbertoshiromoto},
	Pages = {2401-2406},
	Timestamp = {2015.03.30},
	Title = {On a Small-Gain Approach to Distributed Event-Triggered Control},
	Volume = {18},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.3182/20110828-6-IT-1002.02057}}

@book{Petersen2000,
	Author = {I. R. Petersen and V. A. Ugrinovskii and A. V. Savkin},
	Doi = {10.1007/978-1-4471-0447-6},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2016.01.18},
	Title = {Robust Control Design Using H$^\infty$ Methods},
	Year = {2000},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4471-0447-6}}

@book{Pfeffer:2012,
	Author = {W. F. Pfeffer},
	Date-Added = {2013-06-28 13:56:02 +0000},
	Date-Modified = {2013-06-28 13:57:30 +0000},
	Publisher = {CRC Press},
	Title = {The Divergence Theorem and Sets of Finite Perimeter},
	Year = {2012}}

@article{Piccin2009,
	Author = {O. Piccin and L. Barb\'{e} and B. Bayle and M. de Mathelin and A. Gangi},
	Doi = {10.1177/0278364909101408},
	Journal = {The In},
	Month = {Sep.},
	Number = {9},
	Owner = {humbertoshiromoto},
	Pages = {1154-1168},
	Timestamp = {2015.05.03},
	Title = {{A Force Feedback Teleoperated Needle Insertion Device for Percutaneous Procedures}},
	Volume = {28},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1177/0278364909101408}}

@article{Ponomarev:1987,
	Author = {S. P. Ponomarev},
	Date-Added = {2014-01-09 14:34:10 +0000},
	Date-Modified = {2014-01-09 14:34:38 +0000},
	Journal = {Siberian Mathematical Journal},
	Number = {1},
	Pages = {153-163},
	Title = {Submersions and preimages of sets of measure zero},
	Volume = {28},
	Year = {1987},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF00970225}}

@book{Popper:2002,
	Author = {K. Popper},
	Date-Added = {2014-03-19 17:19:32 +0000},
	Date-Modified = {2014-03-19 17:22:04 +0000},
	Editor = {2nd},
	Publisher = {Routledge},
	Series = {Routledge Classics},
	Title = {The Logic of Scientific Discover},
	Year = {2002}}

@unpublished{Praly2011,
	Author = {L. Praly},
	Date-Added = {2012-02-19 19:42:02 +0000},
	Date-Modified = {2014-01-17 17:21:24 +0000},
	Month = {oct.},
	Note = {\'Ecole Nationale Sup\'erieure des Mines de Paris},
	Title = {Fonctions de {L}yapunov, {S}tabilit\'e, {S}tabilisation et {A}tt\'enuation de {P}erturbations},
	Year = {2011}}

@unpublished{Praly2006P1,
	Author = {L. Praly},
	Date-Added = {2013-02-07 19:29:38 +0000},
	Date-Modified = {2013-02-07 19:29:38 +0000},
	Month = {octobre},
	Note = {\'Ecole Nationale Sup\'erieure des Mines de Paris},
	Title = {Fonctions de {L}yapunov, Stabilit\'e et Stabilisation Partie 1: \'Equations diff\'erentielles et stabilit\'e},
	Year = {2006}}

@unpublished{Praly2006P2,
	Author = {L. Praly},
	Date-Added = {2012-02-19 19:37:35 +0000},
	Date-Modified = {2012-02-19 19:41:16 +0000},
	Month = {octobre},
	Note = {\'Ecole Nationale Sup\'erieure des Mines de Paris},
	Title = {Fonctions de {L}yapunov, Stabilit\'e et Stabilisation Partie 2: Stabilisation},
	Year = {2006}}

@article{Praly:2013aa,
	Author = {L. Praly and D. Carnevale and A. Astolfi},
	Date-Added = {2013-11-06 21:28:26 +0000},
	Date-Modified = {2013-11-06 21:32:06 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {Lyapunov function, nonlinear},
	Number = {6},
	Pages = {1557-1561},
	Title = {Dynamic {V}ersus {S}tatic {W}eighting of {L}yapunov {F}unctions},
	Volume = {58},
	Year = {2013}}

@article{Praly:1996,
	Author = {L. Praly and Y. Wang},
	Date-Added = {2012-12-07 16:40:00 +0000},
	Date-Modified = {2012-12-07 16:41:36 +0000},
	Journal = {Mathematics of Control, Signals and Systems},
	Pages = {1-33},
	Title = {Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability},
	Volume = {9},
	Year = {1996}}

@article{Prieur2001,
	Author = {Prieur, C.},
	Date-Added = {2014-01-17 09:31:52 +0000},
	Date-Modified = {2014-01-17 09:32:00 +0000},
	Journal = {Mathematics of Control, Signals, and Systems},
	Pages = {143-172},
	Title = {Uniting local and global controllers with robustness to vanishing noise},
	Volume = {14},
	Year = {2001}}

@article{Prieur2007,
	Abstract = {In this paper, we show, for any nonlinear system that is asymptotically controllable to a compact set, that a logic-based, hybrid feedback can achieve asymptotic stabilization that is robust to small measurement noise, actuator error, and external disturbance. The construction of such a feedback hinges upon recasting a stabilizing patchy feedback in a hybrid framework by making it dynamic with a discrete state, while insisting on semicontinuity and closedness properties of the hybrid feedback and of the resulting closed-loop hybrid system. The robustness of stability is then shown as a generic property of hybrid systems having the said regularity properties. Auxiliary results give uniformity of convergence and of overshoots for hybrid systems, and give a characterization of asymptotic stability of compact sets.},
	Author = {C. Prieur and R. Goebel and A. R. Teel},
	Date-Added = {2012-02-15 14:17:22 +0000},
	Date-Modified = {2012-02-15 14:18:34 +0000},
	Doi = {10.1109/TAC.2007.908320},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {11},
	Pages = {2103-2117},
	Title = {Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems},
	Volume = {52},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.2007.908320}}

@article{Qian:2001,
	Author = {C. Qian and W. Lin},
	Date-Added = {2014-02-06 13:38:10 +0000},
	Date-Modified = {2014-02-06 13:39:23 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {7},
	Pages = {1061-1079},
	Title = {A continuous feedback approach to global strong stabilization of nonlinear systems},
	Volume = {46},
	Year = {2001}}

@article{Rueffer2013,
	Author = {B. S. R\"{u}ffer and N. {van de Wouw} and M. Mueller},
	Doi = {10.1016/j.sysconle.2012.11.015},
	Journal = {{S}yst. \& {C}ontr. {L}ett.},
	Month = {mar},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {277--285},
	Publisher = {Elsevier {BV}},
	Timestamp = {2016.01.19},
	Title = {Convergent systems vs. incremental stability},
	Url = {http://dx.doi.org/10.1016/j.sysconle.2012.11.015},
	Volume = {62},
	Year = {2013},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.sysconle.2012.11.015}}

@article{Rajaram2013,
	Author = {R. Rajaram and U. Vaidya},
	Doi = {10.1080/00207179.2013.774463},
	Journal = {Int. J. Control},
	Month = {Feb.},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {1077-1085},
	Timestamp = {2015.09.01},
	Title = {Robust Stability Analysis Using Lyapunov Density},
	Volume = {86},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1080/00207179.2013.774463}}

@article{Rakotondrabe2010,
	Author = {M. Rakotondrabe and C. Clevy and P. Lutz},
	Doi = {10.1109/TASE.2009.2028617},
	Journal = {{IEEE} Transactions on Automation Science and Engineering},
	Month = {Jul.},
	Number = {3},
	Owner = {humbertoshiromoto},
	Pages = {440 - 450},
	Timestamp = {2015.05.07},
	Title = {Complete open loop control of hysteretic, creeped and oscillating piezoelectric cantilevers},
	Volume = {7},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/TASE.2009.2028617}}

@article{Rantzer2015,
	Author = {A. Rantzer},
	Doi = {10.1016/j.ejcon.2015.04.004},
	Journal = {European Journal of Control},
	Month = {jul},
	Owner = {humberto.shiromoto},
	Pages = {72-80},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.10.08},
	Title = {Scalable control of positive systems},
	Volume = {24},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.ejcon.2015.04.004}}

@inproceedings{Rantzer:2002,
	Author = {A. Rantzer},
	Booktitle = {Proceedings of the 41st {IEEE} Conference on Decision and Control},
	Date-Added = {2013-12-15 14:22:50 +0000},
	Date-Modified = {2013-12-15 14:23:28 +0000},
	Doi = {10.1109/CDC.2002.1184801},
	Month = {Dec.},
	Pages = {1890-1891},
	Title = {A converse theorem for density functions},
	Volume = {2},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2002.1184801}}

@article{Rantzer:2001,
	Author = {A. Rantzer},
	Date-Added = {2013-10-20 20:37:26 +0000},
	Date-Modified = {2014-01-21 10:08:58 +0000},
	Doi = {10.1016/S0167-6911(00)00087-6},
	Journal = {Syst. \& Contr. Lett.},
	Pages = {161-168},
	Title = {A dual to {L}yapunov's stability theorem},
	Volume = {42},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1016/S0167-6911(00)00087-6}}

@article{Rantzer1996,
	Author = {A. Rantzer},
	Doi = {10.1016/0167-6911(95)00063-1},
	Journal = {Systems {\&} Control Letters},
	Month = {jun},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {7-10},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.10.12},
	Title = {On the Kalman{\textemdash}Yakubovich{\textemdash}Popov lemma},
	Volume = {28},
	Year = {1996},
	Bdsk-Url-1 = {https://doi.org/10.1016/0167-6911(95)00063-1}}

@inproceedings{Rantzer2013,
	Address = {Firenze, Italy},
	Author = {A. Rantzer and B. S. Ruffer and G. Dirr},
	Booktitle = {Proceedings of the 52nd {IEEE} Conference on Decision and Control},
	Doi = {10.1109/cdc.2013.6760604},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Pages = {4590-4594},
	Timestamp = {2015.10.13},
	Title = {Separable Lyapunov functions for monotone systems},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2013.6760604}}

@article{Reference0000,
	Author = {Test Reference},
	Journal = {The Testing Journal},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.10.06},
	Title = {A Reference for Tests},
	Year = {0000}}

@book{Reich2005,
	Author = {S. Reich and D. Shoikhet},
	Month = {Jul},
	Owner = {humberto.shiromoto},
	Publisher = {Imperial College Press},
	Timestamp = {2015.10.27},
	Title = {Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces},
	Year = {2005}}

@article{Ren2007,
	Author = {W. Ren and R. W. Beard and E. M. Atkins},
	Doi = {10.1109/mcs.2007.338264},
	Journal = {{IEEE} Control Syst. Mag.},
	Month = {apr},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {71-82},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.10},
	Title = {Information consensus in multivehicle cooperative control},
	Volume = {27},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1109/mcs.2007.338264}}

@article{Rifford:2001,
	Abstract = { ABSTRACT Let $\dot{x}=f(x,u)$ be a general control system; the existence of asmooth control-Lyapunov function does not imply the existence of a continuousstabilizing feedback. However, we show that it allows us to design astabilizing feedback in the Krasovskii (or Filippov) sense. Moreover,we recall a definition of a control-Lyapunov functionin the case of a nonsmooth function; it is based on Clarke'sgeneralized gradient. Finally, with an inedite proof we prove that the existence of this type of control-Lyapunov function is equivalent to the existence of aclassical control-Lyapunov function. This property leads to a generalizationof a result on the systems with integrator. },
	Author = {L. Rifford},
	Date-Added = {2013-04-25 12:19:33 +0000},
	Date-Modified = {2013-04-25 12:20:09 +0000},
	Doi = {10.1051/cocv:2001124},
	Issn = {1262-3377},
	Journal = {{ESAIM}: Control, Optimisation and Calculus of Variations},
	Numpages = {19},
	Pages = {593-611},
	Title = {On the existence of nonsmooth control-{L}yapunov functions in the sense of generalized gradients},
	Url = {http://www.esaim-cocv.org/action/article_S1292811901001245},
	Volume = {6},
	Year = {2001},
	Bdsk-Url-1 = {http://www.esaim-cocv.org/action/article_S1292811901001245},
	Bdsk-Url-2 = {http://dx.doi.org/10.1051/cocv:2001124}}

@book{RobinettIII2011,
	Author = {R. D. {Robinett III} and D. G. Wilson},
	Doi = {10.1007/978-0-85729-823-2},
	Isbn = {0857298224,9780857298225},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Understanding Complex Systems},
	Timestamp = {2016.03.10},
	Title = {Nonlinear Power Flow Control Design: Utilizing Exergy, Entropy, Static and Dynamic Stability, and Lyapunov Analysis},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-0-85729-823-2}}

@book{Robinett2001,
	Author = {R. D. Robinett and R. D. Robinett III and J. Feddema and G. R. Eisler and C. Dohrmann and G. G. Parker and D. G. Wilson and Dennis Stokes},
	Owner = {gebruiker},
	Publisher = {Springer},
	Timestamp = {2015.05.15},
	Title = {Flexible Robot Dynamics and Controls},
	Year = {2001}}

@book{Rockafellar1998,
	Author = {R. T. Rockafellar and R. J. B. Wets},
	Date-Added = {2012-11-15 14:28:25 +0000},
	Date-Modified = {2012-11-15 14:31:05 +0000},
	Publisher = {Springer},
	Rating = {5},
	Series = {Grundlehren der mathematischen Wissenschaften},
	Title = {Variational Analysis},
	Volume = {317},
	Year = {1998}}

@inproceedings{Romeres2013,
	Author = {D. Romeres and F. D\"{o}rfler and F. Bullo},
	Booktitle = {Proceedings of the European Control Conference},
	Month = {Jul.},
	Owner = {humberto.shiromoto},
	Pages = {742-747},
	Timestamp = {2016.03.10},
	Title = {Novel Results on Slow Coherency in Consensus and Power Networks},
	Year = {2013}}

@article{Rosier1992,
	Abstract = {The goal of this article is to provide a construction of a homogeneous Lyapunov function V associated with a system of differential equations xdotf(x), x {\"I}{\^A}µRn (n{\^a}{\^a}€$\,^{\circ}${\^A}¥1), under the hypotheses: (1) f {\"I}{\^A}µ C(Rn, Rn) vanishes at x = 0 and is homogeneous; (2) the zero solution of this system is locally asymptotically stable. Moreover, the Lyapunov function V(x) tends to infinity with {\^a}{\^a}‚¬--x{\^a}{\^a}‚¬--, and belongs to C{\^a}{\"E}†{\v z}(Rn/{0}, R){\^a}{\"E}†{\copyright}Cp(Rn, R), with p{\"I}{\^A}µN{\^a}{\"E}†--- as large as wanted. As application to the theory of homogeneous systems, we present two well known results of robustness, in a slightly extended form, and with simpler proofs.},
	Annote = {In this paper, the author introduces the concept of homogenenous vector fields. Moreover, the author obtain the following result:

If a vector field f is homogeneous and the origin is locally asymptotically stable, then there exists a homogeneous Lyapunov function V.},
	Author = {Lionel Rosier},
	Date-Added = {2012-11-09 17:31:38 +0000},
	Date-Modified = {2012-11-21 13:27:57 +0000},
	Doi = {10.1016/0167-6911(92)90078-7},
	Issn = {0167-6911},
	Journal = {Syst. \& Contr. Lett.},
	Keywords = {non-differentiable feedback},
	Number = {6},
	Pages = {467-473},
	Title = {Homogeneous Lyapunov function for homogeneous continuous vector field},
	Url = {http://www.sciencedirect.com/science/article/pii/0167691192900787},
	Volume = {19},
	Year = {1992},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0167691192900787},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/0167-6911(92)90078-7}}

@book{Rouche:1977,
	Author = {N. Rouche and P. Habets and M. Laloy},
	Date-Added = {2012-12-10 11:57:12 +0000},
	Date-Modified = {2012-12-10 11:58:23 +0000},
	Doi = {10.1007/978-1-4684-9362-7},
	Publisher = {Springer},
	Series = {Applied mathematical sciences},
	Title = {Stability theory by {L}iapunov's direct methods},
	Volume = {22},
	Year = {1977},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4684-9362-7}}

@book{Rudin:1976,
	Author = {W. Rudin},
	Date-Added = {2014-02-25 18:43:22 +0000},
	Date-Modified = {2014-02-25 18:43:54 +0000},
	Publisher = {McGraw-Hill},
	Title = {Principles of Mathematical Analysis},
	Year = {1976}}

@book{Rudin1921,
	Author = {W. Rudin},
	Edition = {3rd},
	Owner = {humberto.shiromoto},
	Publisher = {McGraw Hill},
	Timestamp = {2015.08.27},
	Title = {Real and Complex Analysis},
	Year = {1921}}

@article{Ruffer:2009,
	Author = {B. S. Ruffer},
	Date-Added = {2014-04-29 10:33:25 +0000},
	Date-Modified = {2014-10-12 16:32:42 +0000},
	Doi = {10.1007/s11117-009-0016-5},
	Journal = {Positivity},
	Number = {2},
	Pages = {257-283},
	Title = {Monotone inequalities, dynamical systems, and paths in the positive orthant of {E}uclidean $n$-space},
	Volume = {14},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11117-009-0016-5}}

@phdthesis{Ruffer2007,
	Author = {B. S. Ruffer},
	Owner = {humbertoshiromoto},
	School = {Fachbereich3, Mathematik und Informatik, Universitat Bremen, Germany},
	Timestamp = {2014.10.17},
	Title = {Monotone dynamical systems, graphs, and stability of large-scale interconnected systems},
	Year = {2007}}

@article{Russo2013,
	Author = {G. Russo and M. di Bernardo and E. D. Sontag},
	Doi = {10.1109/tac.2012.2223355},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {may},
	Number = {5},
	Owner = {humberto.shiromoto},
	Pages = {1328-1331},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.14},
	Title = {A Contraction Approach to the Hierarchical Analysis and Design of Networked Systems},
	Volume = {58},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2012.2223355}}

@article{Russo2009,
	Author = {G. Russo and M. {di Bernardo}},
	Doi = {10.1109/tcsii.2008.2011611},
	Journal = {{IEEE} Transactions on Circuits and Systems {II}: Express Briefs},
	Month = {feb},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {177-181},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.10.06},
	Title = {Contraction Theory and Master Stability Function: Linking Two Approaches to Study Synchronization of Complex Networks},
	Volume = {56},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1109/tcsii.2008.2011611}}

@inproceedings{Russo2010,
	Author = {G. Russo and M. {di Bernardo} and E. D. Sontag},
	Booktitle = {49th {IEEE} Conference on Decision and Control ({CDC})},
	Doi = {10.1109/CDC.2010.5717887},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.10.06},
	Title = {Stability of networked systems: A multi-scale approach using contraction},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2010.5717887}}

@article{Russo2011,
	Author = {Giovanni Russo and Jean-Jacques E. Slotine},
	Doi = {10.1103/physreve.84.041929},
	Journal = {Physical Review E},
	Month = {oct},
	Number = {4},
	Owner = {humberto.shiromoto},
	Publisher = {American Physical Society ({APS})},
	Timestamp = {2015.10.06},
	Title = {Symmetries, stability, and control in nonlinear systems and networks},
	Volume = {84},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1103/physreve.84.041929}}

@article{Ryan:1994,
	Author = {E.P. Ryan},
	Date-Added = {2012-04-03 09:17:01 +0000},
	Date-Modified = {2012-04-03 09:17:01 +0000},
	Journal = {SIAM Journal on Control and Optimization},
	Pages = {1597--1606},
	Title = {On Brockett's condition for smooth stabilizability and its necessity in a context of nonsmooth feedback},
	Volume = {32},
	Year = {1994}}

@article{Soederlind2006,
	Author = {G. S\"{o}derlind},
	Doi = {10.1007/s10543-006-0069-9},
	Journal = {{BIT} Numerical Mathematics},
	Month = {aug},
	Number = {3},
	Owner = {humberto.shiromoto},
	Pages = {631-652},
	Publisher = {Springer Science $\mathplus$ Business Media},
	Timestamp = {2015.10.07},
	Title = {The logarithmic norm. History and modern theory},
	Volume = {46},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10543-006-0069-9}}

@inproceedings{SadikhovHaddad2012,
	Abstract = {In this paper, we derive guaranteed gain, sector, and disk margins for nonlinear optimal and inverse optimal discontinuous regulators that minimize a nonlinear-nonquadratic performance functional. Furthermore, we develop a return difference inequality to provide connections between dissipativity and optimality of nonlinear controllers for discontinuous dynamical systems. Specifically, we show that optimal controllers for discontinuous systems satisfy a return difference inequality if and only if the controller is dissipative with respect to a quadratic supply rate map.},
	Annote = {Very interesting paper:

Notions of set-value Lie derivative is introduced as well as conditions to ensure global asymptotical stabilization of the origin (see Lemma 2.1 and Theorem 2.1). Moreover, the notion of dissipativity for discontinuous dynamical systems are also introducted.

The Theorem 3.1 is the main contribution of this paper and the most important part, in my opinion. Moreover, the authors comment how the Hamilton-Jacobi-Bellman Equation (22) must be interpreted.},
	Author = {T. Sadikhov and W. M. Haddad},
	Booktitle = {American Control Conference (ACC), 2012},
	Date-Added = {2012-10-24 08:19:42 +0000},
	Date-Modified = {2014-01-26 11:44:44 +0000},
	Issn = {0743-1619},
	Pages = {5526 -5531},
	Rating = {4},
	Read = {1},
	Title = {On the equivalence between dissipativity and optimality of nonlinear controllers for discontinuous dynamical systems},
	Year = {2012}}

@book{Salle:1961,
	Author = {J. La Salle and S. Lefschetz},
	Date-Added = {2013-04-22 16:54:07 +0000},
	Date-Modified = {2013-04-22 16:55:58 +0000},
	Publisher = {Academic Press},
	Title = {Stability by {L}iapunov's direct method and applications},
	Year = {1961}}

@book{Salsa:2008,
	Author = {S. Salsa},
	Date-Added = {2013-10-30 16:06:05 +0000},
	Date-Modified = {2013-10-30 16:07:13 +0000},
	Publisher = {Springer},
	Title = {Partial {D}ifferential {E}quations in {A}ction: from {M}odelling to {T}heory},
	Year = {2008}}

@article{Sandell1978,
	Author = {N. Sandell and P. Varaiya and M. Athans and M. Safonov},
	Doi = {10.1109/tac.1978.1101704},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {apr},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {108-128},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.10},
	Title = {Survey of decentralized control methods for large scale systems},
	Volume = {23},
	Year = {1978},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.1978.1101704}}

@article{Sanfelice2011,
	Author = {R. G. Sanfelice},
	Date-Added = {2012-04-11 15:07:37 +0000},
	Date-Modified = {2012-04-11 15:08:52 +0000},
	Journal = {Journal of Nonlinear Systems and Applications},
	Pages = {111-121},
	Title = {Interconnections of Hybrid Systems: Some Challenges and Recent Results},
	Year = {2011}}

@inproceedings{Sanfelice2011CDC-ECC,
	Abstract = {For a class of hybrid systems given in terms of constrained differential and difference equations/inclusions, we define control Lyapunov functions, and study their existence when compact sets are asymptotically stable as well as the stabilizability properties guaranteed when they exist. Recent converse Lyapunov theorems for the class of hybrid systems under study enable us to assert that asymptotic stabilizability of a compact set implies the existence of a smooth control Lyapunov function. When control Lyapunov functions are available, conditions for the existence of continuous state-feedback control laws, both providing practical and global stabilizability properties, are provided.},
	Annote = {This paper provides a result linking between stabilizability and the existence of control Lyapunov functions. Then this result is related to the existence of continuous stabilizing feedbacks.

As stated in the paper 

"Control Lyapunov functions provide a link between sta- bilizability and asymptotic controllability to the origin for nonlinear systems, [{\ldots}] "

The results on the paper are devided into two:

1) Assymptotic stabilizability of a compact set implies the existence of a control Lyapunov function with respect to the said compact set.

2) Existence of stabilizing state-feedback laws for hybrid systems when a control Lyapunov function is available.

" The reason of insisting on continuous feedback laws is that, when using such feedbacks to control hybrid systems with regular data, results on robustness of stability in [19] can be applied to the closed-loop system."},
	Author = {R. G. Sanfelice},
	Booktitle = {50th {IEEE} Conference on Decision and Control and European Control Conference (CDC-ECC), 2011},
	Date-Added = {2012-10-30 12:53:45 +0000},
	Date-Modified = {2014-01-26 11:43:58 +0000},
	Doi = {10.1109/CDC.2011.6161528},
	Issn = {0743-1546},
	Keywords = {asymptotic stability;asymptotic stabilizability property;compact sets stabilizability;continuous state feedback control laws;converse Lyapunov theorem;difference equation;differential equation;global stabilizability property;hybrid system;smooth control Lyapunov function;Lyapunov methods;asymptotic stability;continuous systems;difference equations;state feedback;},
	Pages = {7404-7409},
	Rating = {5},
	Read = {1},
	Title = {Control Lyapunov functions and stabilizability of compact sets for hybrid systems},
	Year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.2011.6161528}}

@inproceedings{Sanfeliceetal2006,
	Abstract = {We give an elementary proof of the fact that, for continuous-time systems, it is impossible to use (even discontinuous) pure state feedback to achieve robust global asymptotic stabilization of a disconnected set of points or robust global regulation to a target while avoiding an obstacle. Indeed, we show that arbitrarily small, piecewise constant measurement noise can keep the trajectories away from the target. We give a constructive, Lyapunov-based hybrid state feedback that achieves robust regulation in the above mentioned settings},
	Author = {R. G. Sanfelice and M. J. Messina and S. Emre Tuna and A. R. Teel},
	Booktitle = {American Control Conference (ACC)},
	Date-Added = {2012-10-05 11:39:50 +0000},
	Date-Modified = {2014-01-26 11:44:28 +0000},
	Doi = {10.1109/ACC.2006.1657236},
	Keywords = {Lyapunov-based hybrid state feedback;constructive hybrid state feedback;continuous-time systems;global asymptotic stabilization;hybrid control;obstacle avoidance;piecewise constant measurement noise;robust control;robust hybrid controllers;switched systems;Lyapunov methods;asymptotic stability;collision avoidance;continuous time systems;piecewise constant techniques;robust control;state feedback;},
	Pages = {6 pp.},
	Title = {Robust hybrid controllers for continuous-time systems with applications to obstacle avoidance and regulation to disconnected set of points},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/ACC.2006.1657236}}

@inproceedings{SanfeliceTeel2008,
	Abstract = {We show that for time-invariant hybrid systems given by a flow map, flow set, jump map, and jump set, uniform global stability of a compact set plus the existence of Lyapunov-like functions and continuous functions satisfying a nested condition imply uniform global asymptotic stability of the compact set ("uniform" in the sense that bounds on the solutions and on the convergence time depend only on the distance to the compact set of interest). The required nested condition is a combination of the conditions in nested Matrosov theorems for time-varying continuous-time and discrete-time systems available in the literature. Our result also shows that Matrosov's theorem is a reasonable alternative to LaSalle's invariance principle for time-invariant hybrid systems to conclude attractivity to a compact set. We illustrate the application of our main result by examples.},
	Author = {R. G. Sanfelice and A. R. Teel},
	Booktitle = {Proceedings of the American Control Conference (ACC)},
	Date-Added = {2012-11-06 13:36:14 +0000},
	Date-Modified = {2014-01-26 11:44:15 +0000},
	Doi = {10.1109/ACC.2008.4586938},
	Issn = {0743-1619},
	Keywords = {LaSalle invariance principle;Lyapunov-like functions;continuous functions;discrete-time system;flow map;flow set;jump map;jump set;nested Matrosov theorem;time-invariant hybrid systems;time-varying continuous-time system;uniform global asymptotic stability;Lyapunov methods;asymptotic stability;continuous time systems;discrete time systems;time-varying systems;},
	Pages = {2915-2920},
	Title = {A nested Matrosov theorem for hybrid systems},
	Year = {2008},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/ACC.2008.4586938}}

@article{Sassano:2013aa,
	Author = {M. Sassano and A. Astolfi},
	Date-Added = {2013-11-06 22:47:16 +0000},
	Date-Modified = {2013-11-06 22:50:53 +0000},
	Journal = {Automatica},
	Pages = {1058-1067},
	Title = {Dynamic {L}yapunov functions},
	Volume = {49},
	Year = {2013}}

@book{Sastry:1999,
	Author = {S. Sastry},
	Date-Added = {2012-11-29 15:15:43 +0000},
	Date-Modified = {2012-11-29 15:16:37 +0000},
	Publisher = {Springer},
	Series = {Interdisciplinary Applied Mathematics},
	Title = {Nonlinear Systems},
	Volume = {10},
	Year = {1999}}

@inproceedings{Scarciotti:2013,
	Author = {G. Scarciotti and L. Praly and A. Astolfi},
	Booktitle = {Proceedings of the 52nd {IEEE} Conference on Decision and Control},
	Date-Added = {2014-01-06 15:09:29 +0000},
	Date-Modified = {2014-01-14 09:17:42 +0000},
	Pages = {6593-6596},
	Title = {A small-gain-like theorem for large-scale systems},
	Year = {2013}}

@article{Scardovi2010,
	Author = {L. Scardovi and M. Arcak and E. D Sontag},
	Doi = {10.1109/tac.2010.2041974},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {jun},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {1367-1379},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.02.23},
	Title = {Synchronization of Interconnected Systems With Applications to Biochemical Networks: An Input-Output Approach},
	Volume = {55},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2010.2041974}}

@book{Schwartz:1970,
	Author = {L. Schwartz},
	Date-Added = {2014-02-05 15:44:54 +0000},
	Date-Modified = {2014-02-05 15:46:03 +0000},
	Publisher = {Hermann},
	Title = {Analyse Topologie g\'en\'erale et analyse fonctionelle},
	Volume = {2},
	Year = {1970}}

@article{Sepulchre:1996,
	Author = {R. Sepulchre and D. Aeyels},
	Date-Added = {2012-11-28 14:27:10 +0000},
	Date-Modified = {2012-11-28 14:27:39 +0000},
	Doi = {10.1007/BF01211517},
	Issn = {0932-4194},
	Issue = {1},
	Journal = {Mathematics of Control, Signals and Systems},
	Keywords = {Continuous feedback stabilization; Necessary conditions; Homogeneity; Lyapunov functions},
	Language = {English},
	Pages = {34-58},
	Publisher = {Springer-Verlag},
	Title = {Homogeneous {L}yapunov functions and necessary conditions for stabilization},
	Url = {http://dx.doi.org/10.1007/BF01211517},
	Volume = {9},
	Year = {1996},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01211517}}

@book{Sepulchre1997,
	Author = {R. Sepulchre and M. Jankovi{\'{c}} and P. V. Kokotovi{\'{c}}},
	Doi = {10.1007/978-1-4471-0967-9},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2015.11.20},
	Title = {Constructive Nonlinear Control},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4471-0967-9}}

@article{Seto1994,
	Author = {D. Seto and A. M. Annaswamy and J. Baillieul},
	Doi = {10.1109/9.299624},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {jul},
	Number = {7},
	Owner = {humberto.shiromoto},
	Pages = {1411-1428},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {Adaptive control of nonlinear systems with a triangular structure},
	Volume = {39},
	Year = {1994},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.299624}}

@article{ShevitzPaden:1994,
	Abstract = {This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov's differential inclusion and Clarke's generalized gradient are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuous right-hand side such as in nonsmooth dynamic systems or variable structure control},
	Author = {D. Shevitz and B. Paden},
	Date-Added = {2013-04-25 12:15:49 +0000},
	Date-Modified = {2013-04-25 12:16:22 +0000},
	Doi = {10.1109/9.317122},
	Issn = {0018-9286},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {Lyapunov methods;differential equations;stability;Lyapunov stability theory;absolutely continuous state trajectories;differential equations;equilibria;invariance principle;nonsmooth Lipschitz continuous Lyapunov functions;nonsmooth systems;Area measurement;Books;Control systems;Differential equations;Friction;Lyapunov method;Stability analysis;Testing;Time measurement;Variable structure systems},
	Number = {9},
	Pages = {1910-1914},
	Title = {Lyapunov stability theory of nonsmooth systems},
	Volume = {39},
	Year = {1994},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/9.317122}}

@inproceedings{ShevitzPaden1993,
	Abstract = {This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filippov's differential inclusion and Clarke's generalized gradient (1983) are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuous right hand side such as in nonsmooth dynamic systems or variable structure control},
	Author = {D. Shevitz and B. Paden},
	Booktitle = {Proceedings of the 32nd {IEEE} Conference on Decision and Control},
	Date-Added = {2013-04-25 12:12:52 +0000},
	Date-Modified = {2013-04-25 12:13:31 +0000},
	Doi = {10.1109/CDC.1993.325114},
	Keywords = {Lyapunov methods;differential equations;stability;Lyapunov stability theory;VSS;absolutely continuous state trajectories;differential equation equilibrium stability;differential inclusion;discontinuous right hand side;generalized gradient;invariance principle;nonsmooth Lipschitz continuous Lyapunov functions;nonsmooth dynamic systems;nonsmooth systems;variable structure control;Area measurement;Books;Control systems;Differential equations;Lyapunov method;Mechanical engineering;Stability analysis;System testing;Time measurement;Variable structure systems},
	Pages = {416-421},
	Title = {Lyapunov stability theory of nonsmooth systems},
	Volume = {1},
	Year = {1993},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.1993.325114}}

@patent{Singer1990,
	Address = {Cambridge, Mass.},
	Assignee = {Massachussets Institute of Technology},
	Author = {N. C. Singer and W. P. Seering and K. A. Pasch},
	Day = {10},
	Dayfiled = {12},
	Language = {English},
	Month = {Apr.},
	Nationality = {United States of America},
	Number = {4,916,635},
	Owner = {humbertoshiromoto},
	Timestamp = {2015.05.07},
	Title = {Shaping Command Inputs to Minimize Unwanted Dynamics},
	Year = {1990},
	Yearfiled = {Sep. 1988}}

@book{Slotine1991,
	Author = {J.-J. E. Slotine and W. Li},
	Owner = {humberto.shiromoto},
	Publisher = {Prentice Hall},
	Timestamp = {2016.01.14},
	Title = {Applied Nonlinear Control},
	Year = {1991}}

@incollection{Sontag2010,
	Author = {Eduardo D. Sontag},
	Booktitle = {Perspectives in Mathematical System Theory, Control, and Signal Processing},
	Doi = {10.1007/978-3-540-93918-4_20},
	Owner = {humberto.shiromoto},
	Pages = {217--228},
	Publisher = {Springer},
	Timestamp = {2015.09.30},
	Title = {Contractive Systems with Inputs},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-540-93918-4_20}}

@incollection{Sontag2008,
	Abstract = {The analysis and design of nonlinear feedback systems has recently undergone an exceptionally rich period of progress and maturation, fueled, to a great extent, by (1) the discovery of certain basic conceptual notions, and (2) the identification of classes of systems for which systematic decomposition approaches can result in effective and easily computable control laws. These two aspects are complementary, since the latter approaches are, typically, based upon the inductive verification of the validity of the former system properties under compositions (in the terminology used in [62], the ``activation'' of theoretical concepts leads to ``constructive'' control). This expository presentation addresses the first of these aspects, and in particular the precise formulation of questions of robustness with respect to disturbances, formulated in the paradigm of input to state stability . We provide an intuitive and informal presentation of the main concepts. More precise statements, especially about older results, are given in the cited papers, as well as in several previous surveys such as [103, 105] (of which the present paper represents an update), but we provide a little more detail about relatively recent work. Regarding applications and extensions of the basic framework, we give some pointers to the literature, but we do not focus on feedback design and specific engineering problems; for the latter we refer the reader to textbooks such as [27, 43, 44, 58, 60, 66, 96].},
	Author = {E. D. Sontag},
	Booktitle = {Nonlinear and Optimal Control Theory},
	Date-Added = {2012-04-11 13:04:49 +0000},
	Date-Modified = {2013-06-28 16:09:08 +0000},
	Doi = {10.1007/978-3-540-77653-6_3},
	Pages = {163-220},
	Publisher = {Springer},
	Series = {Lecture Notes in Mathematics},
	Title = {Input to State Stability: Basic Concepts and Results},
	Volume = {1932},
	Year = {2008},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-3-540-77653-6_3}}

@article{Sontag2004,
	Author = {E. D. Sontag},
	Doi = {10.1049/sb:20045006},
	Issn = {1741-2471},
	Journal = {IEE Proceedings - Systems Biology},
	Month = {Jun},
	Number = {1},
	Pages = {9-18},
	Title = {Some new directions in control theory inspired by systems biology},
	Volume = {1},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1049/sb:20045006}}

@incollection{Sontag:2001,
	Author = {E. D. Sontag},
	Booktitle = {Nonlinear control in the year 2000},
	Date-Added = {2012-11-29 12:17:47 +0000},
	Date-Modified = {2014-02-14 10:24:05 +0000},
	Pages = {443-467},
	Publisher = {Springer},
	Title = {The {ISS} philosophy as a unifying framework for stability-like behavior},
	Volume = {259},
	Year = {2001},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BFb0110320}}

@article{Sontag:1999,
	Author = {E. D. Sontag},
	Date-Added = {2013-03-21 16:40:57 +0000},
	Date-Modified = {2013-03-21 16:41:54 +0000},
	Journal = {ESAIM Control Optim. Calc. Var.},
	Keywords = {nonlinear control, feedback stabilization, hybrid systems, discontinuous feedback, measurement noise},
	Pages = {537-557},
	Title = {Clocks and insensitivity to small measurement errors},
	Volume = {4},
	Year = {1999}}

@inproceedings{Sontag:1998:SSDED,
	Author = {Eduardo D. Sontag},
	Booktitle = {in Nonlinear Analysis, Differential Equations, and Control (Proc. NATO Advanced Study Institute, Montreal, Jul/Aug)},
	Date-Added = {2012-04-03 09:18:13 +0000},
	Date-Modified = {2012-04-03 09:18:13 +0000},
	Pages = {551--598},
	Publisher = {Kluwer},
	Title = {Stability and Stabilization: Discontinuities and the Effect of Disturbances},
	Year = {1998}}

@book{Sontag1998,
	Address = {New York},
	Author = {E. D. Sontag},
	Date-Added = {2012-02-07 10:00:36 +0000},
	Date-Modified = {2012-03-26 13:27:57 +0000},
	Edition = {2nd},
	Number = {6},
	Publisher = {Springer},
	Rating = {5},
	Series = {Textbooks in Applied Mathematics},
	Title = {Mathematical Control Theory: Deterministic Finite Dimensional Systems},
	Year = {1998}}

@article{Sontag1998iISS,
	Abstract = {This note discusses two integral variants of the input-to-state stability (ISS) property, which represent nonlinear generalizations of L2 stability, in much the same way that ISS generalizes L{\^a}{\"E}†{\v z} stability. Both variants are equivalent to ISS for linear systems. For general nonlinear systems, it is shown that one of the new properties is strictly weaker than ISS, while the other one is equivalent to it. For bilinear systems, a complete characterization is provided of the weaker property. An interesting fact about functions of type KL is proved as well.},
	Author = {E. D. Sontag},
	Date-Added = {2013-03-11 13:41:21 +0000},
	Date-Modified = {2014-02-06 12:21:01 +0000},
	Journal = {Syst. \& Contr. Lett.},
	Keywords = {System gains},
	Number = {25},
	Pages = {93-100},
	Title = {Comments on integral variants of {ISS}},
	Volume = {34},
	Year = {1998},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0167691198000036},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/S0167-6911(98)00003-6}}

@incollection{Sontag1993,
	Author = {E. D. Sontag},
	Booktitle = {Essays on Control},
	Doi = {10.1007/978-1-4612-0313-1_10},
	File = {:C\:\\Users\\humberto.shiromoto\\Dropbox\\Library\\Books\\Sontag, E. D. -- Neural Networks for Control.pdf:PDF},
	Owner = {humberto.shiromoto},
	Pages = {339-380},
	Publisher = {Springer},
	Timestamp = {2015.12.08},
	Title = {Neural Networks for Control},
	Year = {1993},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4612-0313-1_10}}

@article{Sontag1990,
	Author = {E. D. Sontag},
	Date-Added = {2012-03-21 13:24:00 +0000},
	Date-Modified = {2012-03-21 13:24:53 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Pages = {473-476},
	Title = {Further facts about input to state stabilization},
	Volume = {35},
	Year = {1990}}

@article{Sontag1989,
	Author = {E. D. Sontag},
	Date-Added = {2012-03-20 12:31:59 +0000},
	Date-Modified = {2014-01-23 09:13:29 +0000},
	Doi = {10.1109/9.28018},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {4},
	Pages = {435-443},
	Rating = {5},
	Read = {1},
	Title = {Smooth stabilization implies coprime factorization},
	Volume = {34},
	Year = {1989},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.28018}}

@article{Sontag1989a,
	Author = {E. D. Sontag},
	File = {:C\:\\Users\\humberto.shiromoto\\Dropbox\\Library\\Periodicals\\System & Control Letters\\Sontag, E. D. - A 'universal' construction of Artstein's theorem on nonlinear stabilization.pdf:PDF},
	Journal = {{S}yst. \& {C}ontr. {L}ett.},
	Owner = {humbertoshiromoto},
	Timestamp = {2014.10.21},
	Title = {A `Universal' {C}onstruction of {A}rtstein's {T}heorem on {N}onlinear {S}tabilization},
	Year = {1989}}

@article{Sontag1981,
	Author = {E. D. Sontag},
	Doi = {10.1109/tac.1981.1102596},
	File = {:C\:\\Users\\humberto.shiromoto\\Dropbox\\Library\\Periodicals\\IEEE\\Automatic Control, Transactions on\\Sontag, E. D. -- Nonlinear Regulation - The Piecewise Linear Approach.pdf:PDF},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {apr},
	Number = {2},
	Owner = {humberto.shiromoto},
	Pages = {346-358},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.10.20},
	Title = {Nonlinear regulation: The piecewise linear approach},
	Volume = {26},
	Year = {1981},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.1981.1102596}}

@article{SontagLedyaev:1999,
	Author = {Eduardo D. Sontag and Yuri S. Ledyaev},
	Date-Added = {2012-04-03 09:21:40 +0000},
	Date-Modified = {2012-04-03 09:21:40 +0000},
	Journal = {Nonlinear Analysis},
	Number = {7},
	Pages = {813--840},
	Title = {A {L}yapunov characterization of robust stabilization},
	Volume = {37},
	Year = {1999}}

@inproceedings{Sontag2014,
	Author = {E. D. Sontag and M. Margaliot and T. Tuller},
	Booktitle = {53rd {IEEE} Conference on Decision and Control},
	Doi = {10.1109/cdc.2014.7039618},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Timestamp = {2015.10.06},
	Title = {On three generalizations of contraction},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2014.7039618}}

@article{SontagWang1996,
	Abstract = {We present new characterizations of the Input to State Stability property. As a consequence of these results, we show the equivalence between the ISS property and several (apparent) variations proposed in the literature.},
	Author = {E. D. Sontag and Y. Wang},
	Date-Added = {2012-03-26 09:10:09 +0000},
	Date-Modified = {2012-03-26 13:27:44 +0000},
	Doi = {10.1109/9.536498},
	File = {:C\:\\Users\\humberto\\Dropbox\\Library\\Periodicals\\IEEE\\Automatic Control, Transactions on\\Sontag, E. D.\; Wang, Y. - New characterizations of the input-to-state stability property.pdf:PDF},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {9},
	Pages = {1283-1294},
	Rating = {5},
	Read = {1},
	Title = {New characterizations of input-to-state stability},
	Volume = {41},
	Year = {1996},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.536498}}

@article{SontagWang1995,
	Abstract = {We show that the well-known Lyapunov sufficient condition for input-to-state stability is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.},
	Author = {E. D. Sontag and Y. Wang},
	Date-Added = {2012-03-26 07:51:56 +0000},
	Date-Modified = {2013-07-24 13:20:39 +0000},
	Doi = {10.1016/0167-6911(94)00050-6},
	Journal = {Syst. \& Contr. Lett.},
	Number = {5},
	Pages = {351-359},
	Rating = {3},
	Read = {1},
	Title = {On characterizations of the input-to-state stability property},
	Volume = {24},
	Year = {1995},
	Bdsk-Url-1 = {https://doi.org/10.1016/0167-6911(94)00050-6}}

@phdthesis{Souza:2013,
	Address = {Grenoble, France},
	Author = {D. D. Baptista de Souza},
	Date-Added = {2014-06-11 07:55:51 +0000},
	Date-Modified = {2014-06-11 07:56:41 +0000},
	School = {Universit\'e de Grenoble},
	Title = {On nonparametric techniques for analyzing nonstationary signals},
	Year = {2013}}

@book{Spiegel:1959,
	Author = {M. R. Spiegel},
	Date-Added = {2014-04-07 09:57:03 +0000},
	Date-Modified = {2014-04-07 09:58:23 +0000},
	Publisher = {McGraw-Hill},
	Title = {Vector analysis and an introduction to tensor analysis},
	Year = {1959}}

@book{Steele2004,
	Author = {J. M. Steele},
	Owner = {humberto.shiromoto},
	Publisher = {Cambrige University Press},
	Timestamp = {2016.01.28},
	Title = {The Cauchy-Schwarz Master Class},
	Year = {2004}}

@phdthesis{SteinShiromoto:2014,
	Author = {H. {Stein Shiromoto}},
	Owner = {humbertoshiromoto},
	School = {Universit\'{e} Grenoble Alpes},
	Timestamp = {2014.10.21},
	Title = {Stabilisation Sous Contraintes Locales et Globales},
	Year = {2014}}

@article{SteinShiromoto2015,
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and V. Andrieu and C. Prieur},
	Date-Added = {2013-08-21 12:34:21 +0000},
	Date-Modified = {2014-11-25 18:20:32 +0000},
	Doi = {10.1016/j.automatica.2014.12.017},
	Eprint = {1502.02851},
	Journal = {Automatica},
	Pages = {309-316},
	Title = {A Region-Dependent Gain Condition for Asymptotic Stability},
	Volume = {52},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2014.12.017}}

@inproceedings{SteinShiromoto2013,
	Address = {Florence, Italy},
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and V. Andrieu and C. Prieur},
	Booktitle = {Proceedings of the 52nd {IEEE} Conference on Decision and Control (CDC)},
	Date-Added = {2013-07-22 12:48:31 +0000},
	Date-Modified = {2014-04-04 10:34:27 +0000},
	Doi = {10.1109/CDC.2013.6759951},
	Eprint = {1503.02884},
	Pages = {624-629},
	Title = {Interconnecting a System Having a Single Input-to-State Gain With a System Having a Region-Dependent Input-to-State Gain},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2013.6759951}}

@article{SteinShiromoto2013a,
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and V. Andrieu and C. Prieur},
	Date-Added = {2012-10-13 16:32:32 +0000},
	Date-Modified = {2014-01-02 16:57:22 +0000},
	Doi = {10.1109/TAC.2013.2263613},
	Eprint = {1502.03461},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {12},
	Pages = {3236-3241},
	Title = {Relaxed and hybridized backstepping},
	Volume = {58},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2013.2263613}}

@inproceedings{SteinShiromotoAndrieuPrieur2012:CIFA,
	Address = {Grenoble, France},
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and V. Andrieu and C. Prieur},
	Booktitle = {Proceedings of the 7th Conf\'erence {Internationale Francophone d'Automatique} (CIFA)},
	Date-Added = {2012-10-13 16:37:46 +0000},
	Date-Modified = {2014-04-04 10:34:06 +0000},
	Eprint = {1503.03900},
	Hal_Id = {hal-00927101},
	Hal_Version = {v1},
	Pages = {371-375},
	Title = {Union d'une commande par backstepping avec une commande locale},
	Year = {2012}}

@inproceedings{SteinShiromotoAndrieuPrieur2011,
	Abstract = {We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied systems for which the backstepping tool for the design of stabilizers can not be applied. On the contrary, it leads to feedback laws such that the origin of the closed-loop system is not globally asymptotically stable, but a suitable attractor (strictly containing the origin) is practically asymptotically stable. Then, a design method is suggested to build a hybrid feedback law combining a backstepping controller with a locally stabilizing controller. The results are illustrated for a nonlinear system which, due to the structure of the system, does not have a priori any globally stabilizing backstepping controller.},
	Address = {San Francisco, CA, United States of America},
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and V. Andrieu and C. Prieur},
	Booktitle = {Proceedings of the American Control Conference (ACC)},
	Date-Added = {2012-09-14 15:30:05 +0000},
	Date-Modified = {2014-04-04 10:33:58 +0000},
	Doi = {10.1109/ACC.2011.5991251},
	Eprint = {1503.02892},
	Pages = {3197-3202},
	Read = {0},
	Title = {Combining a backstepping controller with a local stabilizer},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/ACC.2011.5991251}}

@article{SteinShiromoto:2015a,
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and P. Feketa and S. Dashkovskiy},
	Eprint = {1508.06018},
	Journal = {{SIAM J. Control Optim.}},
	Note = {(under review)},
	Timestamp = {2015.03.10},
	Title = {A Combination of Small-gain and Density Propagation Inequalities for the Stability Analysis of Networked Systems},
	Year = {2015}}

@electronic{SteinShiromoto2016,
	Author = {H. {Stein Shiromoto} and I. R. Manchester},
	Doi = {10.5281/zenodo.47456},
	Howpublished = {URL},
	Month = {Mar},
	Owner = {humberto.shiromoto},
	Timestamp = {2016.03.12},
	Title = {Algorithms for the example of A Scalable Approach for the Design of Control Contraction Metrics},
	Url = {http://dx.doi.org/10.5281/zenodo.47456},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.5281/zenodo.47456}}

@electronic{Stover2016,
	Author = {C. Stover and E. W. Weisstein},
	Howpublished = {URL},
	Month = {Feb.},
	Organization = {MathWorld--A Wolfram Web Resource},
	Owner = {humberto.shiromoto},
	Timestamp = {2016.02.08},
	Title = {Einstein Summation},
	Url = {http://mathworld.wolfram.com/EinsteinSummation.html},
	Year = {2016},
	Bdsk-Url-1 = {http://mathworld.wolfram.com/EinsteinSummation.html}}

@article{Sussmann:1991,
	Author = {H. J. Sussmann and P. V. Kokotovi\'{c}},
	Date-Added = {2014-01-17 13:51:00 +0000},
	Date-Modified = {2014-01-17 13:52:27 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {4},
	Pages = {424-440},
	Title = {The {P}eaking {P}henomenon and the {G}lobal {S}stabilization of {N}onlinear {S}ystems},
	Volume = {36},
	Year = {1991}}

@inproceedings{Tabuad2006,
	Author = {P. Tabuada},
	Booktitle = {NSF Workshop on Cyber-Physical Systems},
	Owner = {humbertoshiromoto},
	Timestamp = {2015.03.18},
	Title = {Cyber-physical systems: Position paper},
	Year = {2006}}

@article{Tadigadapa2009,
	Author = {S. Tadigadapa and K. Mateti},
	Doi = {10.1088/0957-0233/20/9/092001},
	Journal = {Meas. Sci. Technol.},
	Number = {9},
	Owner = {humbertoshiromoto},
	Pages = {1-30},
	Timestamp = {2015.05.07},
	Title = {Piezoelectric {MEMS} sensors: state-of-the-art and perspectives},
	Volume = {20},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1088/0957-0233/20/9/092001}}

@article{Tallapragada2013,
	Archiveprefix = {arXiv},
	Author = {P. Tallapragada and N. Chopra},
	Doi = {10.1109/tac.2013.2251794},
	Eprint = {1301.0875},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {sep},
	Number = {9},
	Owner = {humberto.shiromoto},
	Pages = {2343-2348},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.11.20},
	Title = {On Event Triggered Tracking for Nonlinear Systems},
	Volume = {58},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2013.2251794}}

@inproceedings{Tallapragada2012,
	Author = {P. Tallapragada and N. Chopra},
	Booktitle = {Proceedings of the 51st {IEEE} Conference on Decision and Control ({CDC})},
	Doi = {10.1109/cdc.2012.6426217},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Pages = {6597-6602},
	Timestamp = {2015.11.20},
	Title = {Event-triggered dynamic output feedback control for {LTI} systems},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2012.6426217}}

@article{Tamassy2008,
	Author = {L. Tam{\'{a}}ssy},
	Doi = {10.1016/j.difgeo.2008.04.007},
	Journal = {Differential Geometry and its Applications},
	Month = {oct},
	Number = {5},
	Owner = {humberto.shiromoto},
	Pages = {483-494},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.11.30},
	Title = {Relation between metric spaces and Finsler spaces},
	Volume = {26},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.difgeo.2008.04.007}}

@article{Tanaka2011,
	Author = {T. Tanaka and C. Langbort},
	Doi = {10.1109/tac.2011.2157394},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {sep},
	Number = {9},
	Owner = {humberto.shiromoto},
	Pages = {2218-2223},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.10.08},
	Title = {The Bounded Real Lemma for Internally Positive Systems and H-Infinity Structured Static State Feedback},
	Volume = {56},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2011.2157394}}

@article{Tanelli:2009aa,
	Author = {M. Tanelli and G. Osorio and M. di Bernardo and S. M. Savaresi and A. Astolfi},
	Date-Added = {2013-11-06 23:39:16 +0000},
	Date-Modified = {2013-11-06 23:40:31 +0000},
	Journal = {Int. J. Control},
	Number = {4},
	Pages = {659-678},
	Title = {Existence, stability and robustness analysis of limit cycles in hybrid anti-lock braking systems},
	Volume = {82},
	Year = {2009}}

@incollection{Teel2007,
	Abstract = {This paper gives an overview of a framework for analyzing hybrid dynamical systems. The emphasis is on modeling assumptions that guarantee robustness. These conditions lead to a general invariance principle and to results on the existence of smooth Lyapunov functions (converse theorems) for hybrid systems. In turn, the stability analysis tools motivate novel hybrid control algorithms for nonlinear systems.},
	Author = {A. R. Teel},
	Booktitle = {Advances in Control Theory and Applications},
	Date-Added = {2012-09-25 12:22:44 +0000},
	Date-Modified = {2012-11-09 16:48:40 +0000},
	Editor = {Bonivento, Claudio and Marconi, Lorenzo and Rossi, Carlo and Isidori, Alberto},
	Pages = {279-302},
	Publisher = {Springer},
	Series = {Lecture Notes in Control and Information Sciences},
	Title = {Robust Hybrid Control Systems: An Overview of Some Recent Results},
	Volume = {353},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-3-540-70701-1_15}}

@article{Teel1996,
	Author = {A. R. Teel},
	Doi = {10.1109/9.536496},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Number = {9},
	Owner = {humberto.shiromoto},
	Pages = {1256-1270},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {A nonlinear small gain theorem for the analysis of control systems with saturation},
	Volume = {41},
	Year = {1996},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.536496}}

@article{Teel:1999,
	Author = {A. R. Teel and J. Peuteman and D. Aeyels},
	Date-Added = {2013-03-26 13:27:51 +0000},
	Date-Modified = {2013-03-26 13:29:02 +0000},
	Journal = {Syst. \& Contr. Lett.},
	Pages = {329--334},
	Title = {Semi-global practical asymptotic stability and averaging},
	Volume = {37},
	Year = {1999}}

@inproceedings{TejadaRuiz:2015,
	Address = {Seattle, WA, United States of America},
	Archiveprefix = {arXiv},
	Author = {A. {Tejada} and K. Horvath and H. {Stein Shiromoto} and H. Bosman},
	Booktitle = {Proceedings of the 1st ACM International Workshop on Cyber-Physical Systems for Smart Water Networks (CySWater'15)},
	Date-Added = {2015-02-02 20:15:46 +0000},
	Date-Modified = {2015-02-02 20:21:38 +0000},
	Doi = {10.1145/2738935.2738945},
	Eprint = {1503.00993},
	Title = {Towards WaterLab: A Test Facility for New Cyber-Physical Technologies in Water Distribution Networks},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1145/2738935.2738945}}

@book{Teschl2012,
	Author = {G. Teschl},
	Date-Added = {2012-04-17 17:13:26 +0000},
	Date-Modified = {2012-04-17 17:14:22 +0000},
	Publisher = {American Mathematical Society},
	Title = {Ordinary differential equations and dynamical systems},
	Volume = {1XX},
	Year = {2012}}

@article{ThitsaGray2012,
	Author = {M. Thitsa and W. Gray},
	Date-Added = {2012-10-22 08:58:41 +0000},
	Date-Modified = {2012-10-22 09:00:22 +0000},
	Journal = {{SIAM J. Control Optim.}},
	Number = {5},
	Pages = {2786-2813},
	Title = {On the radius of convergence of interconnected analytic nonlinear input-output systems},
	Volume = {50},
	Year = {2012}}

@inproceedings{Tobenkin2010,
	Address = {Atlanta, GA},
	Author = {M. M. Tobenkin and I. R. Manchester and J. Wang and A. Megretski and R. Tedrake},
	Booktitle = {Proceedings of the 49th {IEEE} Conference on Decision and Control ({CDC})},
	Doi = {10.1109/cdc.2010.5718114},
	Month = {dec},
	Owner = {humberto.shiromoto},
	Pages = {7232-7237},
	Timestamp = {2015.11.25},
	Title = {Convex optimization in identification of stable non-linear state space models},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2010.5718114}}

@article{Tsinias1999,
	Author = {J. Tsinias and I. Karafyllis},
	Doi = {10.1109/9.802941},
	Journal = {{IEEE} Tr},
	Number = {11},
	Owner = {humberto.shiromoto},
	Pages = {2179-2184},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.01.22},
	Title = {{ISS} property for time-varying systems and application to partial-static feedback stabilization and asymptotic tracking},
	Volume = {44},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.802941}}

@article{Tuna:2005,
	Annote = {In this paper, the author proposes a method to robustly regulate the origin of any asymptocally controllable continuous-time homogeneous system by designing a feedback law for a discrete-time homogeneous system obtained by sample and hold.

The main contribution concerns the sample and hold policy that depends on the state of the systems. Roughly, the idea is to set the sample and hold in order that the discrete-time model inherits properties from the continuous-time as asymptotic controlability. The author also links the length of the sample and hold interval to degree of homogeneity of the system.

Then, the discrete-time feedback law is designed by solving an infite horizon optimization problem.},
	Author = {S. E. Tuna},
	Date-Added = {2012-11-22 16:57:15 +0000},
	Date-Modified = {2012-11-22 17:51:46 +0000},
	Journal = {Automatica},
	Pages = {1879-1890},
	Title = {Optimal regulation of homogeneous systems},
	Volume = {41},
	Year = {2005}}

@inproceedings{TunaTeel2006,
	Abstract = {In this paper we introduce homogeneity for hybrid systems (using generalized dilations) and provide basic implications of this property similar to that of continuous-time and discrete-time homogeneous systems. In our main result we state that stability of a hybrid system that is robust with respect to small perturbations implies the existence of a homogeneous Lyapunov function for the system. This converse Lyapunov theorem unifies the previous results},
	Annote = {In this paper, the authors generalize the results concerning the homogeneity of discrete-time and continuous-time systems to hybrid systems. More precisely, the authors extend to hybrid systems the results of generalized homogeneity of discrete/continuous-time.

The main contributions to this papers may be listed as follows:

- The definition of generalized dilation of hybrid systems, called gilation
- Results concerning stability: 1) Under homogeneity, local and global robustly stability are equivalent. Namely, if a hybrid system is homogenenous with respect to a gilation, then it is robustly stable. The proof of this result is done by proving the existence a Lyapunov function using the proof of 

Rosier, L. (1992). Homogeneous lyapunov function for homogeneous continuous vector field. Systems \& Control Lett., 19(6):467--473.

2) Relationship between the degree of homogeneity and the rate of convergence of solutions },
	Author = {S. E. Tuna and A. R. Teel},
	Booktitle = {Proceedings of the 45th {IEEE} Conference on Decision and Control},
	Date-Added = {2012-11-09 17:36:59 +0000},
	Date-Modified = {2014-01-26 11:44:09 +0000},
	Doi = {10.1109/CDC.2006.377202},
	Keywords = {continuous-time homogeneous systems;converse Lyapunov theorem;discrete-time homogeneous systems;generalized dilations;homogeneous Lyapunov function;homogeneous hybrid systems;perturbations;Lyapunov methods;continuous time systems;discrete time systems;perturbation techniques;},
	Pages = {6235-6240},
	Title = {Homogeneous hybrid systems and a converse Lyapunov theorem},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.2006.377202}}

@inproceedings{Tuna:2005a,
	Abstract = {This papers generalizes the results of 

Tuna, S. E. and Teel, A. R. (2004). Generalized dilations and numerically solving discrete-time homogeneous optimization problems. In 43rd {IEEE} Conference on Decision and Control, volume 5, pages 5403--5408.

For continuous-time systems. More precisely, this paper introduces the notion of Gilation (which is a generalization of the dilation concept) and generalizes some concepts of Lyapunov stability by using monotonic functions.

The results are based on the assumption that a system has unique solutions. The main are

Theorem 9: If there exists anontrivial solution to a system, then there exists a gilation with respect to which the system is homogeneous.

Theorem 11: If the system is monotone with respect to a function V, then there exists a gilation with respect to which both the system and V are homogeneous.

},
	Annote = {Abstract: The goal of this article is to show that the class of homogeneous systems can be made very general if one considers generalized dilations (which are a class of group actions) and defines homogeneity with respect to them. It turns out that uniqueness of solutions (in both directions of time) is indeed a sufficient condition for a system to be homogeneous with respect to some generalized dilation. The relation between homogeneity and monotonicity is also studied and it is shown that if a system is monotone with respect to some V (a positive function) then there exists a generalized dilation with respect to which both the system and V are homogeneous. Another result presented in the paper is the equivalence of local monotonicity and global monotonicity under homogeneity},
	Author = {S. E. Tuna and A. R. Teel},
	Booktitle = {Proceedings of the 16th {IFAC} {W}orld {C}ongress},
	Date-Added = {2012-11-27 13:14:53 +0000},
	Date-Modified = {2012-11-27 13:19:54 +0000},
	Title = {Generalized dilations and homogeneity},
	Year = {2005}}

@inproceedings{TunaTeel2004,
	Abstract = { We introduce generalized dilations, a broader class of operators than that of dilations, and consider homogeneity with respect to this new class of dilations. For discrete-time systems that are asymptotically controllable and homogeneous (with degree zero) we propose a method to numerically approximate any homogeneous value function (solution to an infinite horizon optimization problem) to arbitrary accuracy. We also show that the method can be used to generate an offline computed stabilizing feedback law.},
	Annote = {This paper introduces the notion of dilation, for discrete-time systems (see Definition 1). Moreover, the authors develop a method to design an optimal feedback for homogeneous DT systems.},
	Author = {S. E. Tuna and A. R. Teel},
	Booktitle = {43rd {IEEE} Conference on Decision and Control},
	Date-Added = {2012-11-23 18:21:31 +0000},
	Date-Modified = {2012-11-27 13:36:10 +0000},
	Doi = {10.1109/CDC.2004.1429667},
	Issn = {0191-2216},
	Keywords = {asymptotically controllable systems; discrete-time homogeneous optimization problems; discrete-time systems; generalized dilations; homogeneous value function; infinite horizon optimization problem; numerical approximation; offline computed stabilizing feedback law; approximation theory; asymptotic stability; discrete time systems; feedback; optimisation;},
	Pages = {5403-5408},
	Title = {Generalized dilations and numerically solving discrete-time homogeneous optimization problems},
	Volume = {5},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/CDC.2004.1429667}}

@article{Uhlig1979,
	Author = {F. Uhlig},
	Doi = {10.1016/0024-3795(79)90020-x},
	Journal = {Linear Algebra and its Applications},
	Month = {jun},
	Owner = {humberto.shiromoto},
	Pages = {219--237},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.11.10},
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@article{Vaidya2008,
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	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {Feb.},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {307-323},
	Timestamp = {2015.08.31},
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	Volume = {53},
	Year = {2008}}

@article{Vaidya2010,
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	Doi = {10.1109/TAC.2010.2042226},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
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	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {1314-1328},
	Timestamp = {2015.09.01},
	Title = {Nonlinear Stabilization via Control Lyapunov Measure},
	Volume = {55},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2010.2042226}}

@inproceedings{Schaft2013,
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	Author = {A. J. {van der Schaft}},
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	Doi = {10.3182/20130904-3-fr-2041.00008},
	Month = {sep},
	Owner = {humberto.shiromoto},
	Pages = {21-25},
	Timestamp = {2015.11.25},
	Title = {On Differential Passivity},
	Volume = {9},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.3182/20130904-3-fr-2041.00008}}

@book{vanderSchaft2000,
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	Timestamp = {2015.11.25},
	Title = {L$_2$-Gain and Passivity Techniques in Nonlinear Control},
	Year = {2000},
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@book{Vidyasagar2002,
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	Publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
	Timestamp = {2015.10.23},
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@book{Vidyasagar1981,
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	Publisher = {Springer},
	Series = {Lecture Notes in Control and Information Sciences},
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	Year = {1981},
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@incollection{Vidyasagar1981a,
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	Booktitle = {Input-Output Analysis of Large-Scale Interconnected Systems},
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	Pages = {88-104},
	Publisher = {Springer},
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	Year = {1981},
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@article{Vidyasagar1978,
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	Journal = {Journal of Mathematical Analysis and Applications},
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	Number = {1},
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	Pages = {90-103},
	Publisher = {Elsevier {BV}},
	Timestamp = {2015.10.13},
	Title = {On matrix measures and convex Liapunov functions},
	Volume = {62},
	Year = {1978},
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@article{Vitushkin2004,
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	Timestamp = {2015.06.05},
	Title = {On {H}ilbert's thirteenth problem and related questions},
	Volume = {59},
	Year = {2004},
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@book{Vladimirov:2002,
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	Publisher = {Taylor \& Francis},
	Title = {Methods of the theory of generalized functions},
	Year = {2002}}

@article{Waki2006,
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	Doi = {10.1137/050623802},
	Journal = {SIAM J. Optim.},
	Month = {Jan},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {218-242},
	Publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
	Timestamp = {2016.03.16},
	Title = {Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity},
	Volume = {17},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1137/050623802}}

@article{Wang2006,
	Author = {W. Wang and J.-J. E. Slotine},
	Doi = {10.1109/tac.2006.872761},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {apr},
	Number = {4},
	Owner = {humberto.shiromoto},
	Pages = {712-717},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2016.03.14},
	Title = {Contraction Analysis of Time-Delayed Communications and Group Cooperation},
	Volume = {51},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2006.872761}}

@article{Wang2004,
	Author = {W. Wang and J.-J. E. Slotine},
	Doi = {10.1007/s00422-004-0527-x},
	Journal = {Biological Cybernetics},
	Month = {Dec},
	Number = {1},
	Owner = {humberto.shiromoto},
	Pages = {38-53},
	Timestamp = {2015.11.25},
	Title = {On partial contraction analysis for coupled nonlinear oscillators},
	Volume = {92},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00422-004-0527-x}}

@electronic{Weisstein2015,
	Author = {E. W. Weisstein},
	Language = {English},
	Month = {Sep.},
	Organization = {Wolfram Mathworld},
	Owner = {humberto.shiromoto},
	Timestamp = {2015.09.01},
	Title = {Perron-Frobenius Theorem},
	Url = {http://mathworld.wolfram.com/Perron-FrobeniusTheorem.html},
	Year = {2015},
	Bdsk-Url-1 = {http://mathworld.wolfram.com/Perron-FrobeniusTheorem.html}}

@book{Westervelt2007,
	Author = {E. R. Westervelt and J. W. Grizzle and C. Chevallereau and J. H. Choi and B. Morris},
	Owner = {humberto.shiromoto},
	Publisher = {CRC Press},
	Timestamp = {2015.10.16},
	Title = {Feedback Control of Dynamic Bipedal Robot Locomotion},
	Year = {2007}}

@incollection{Willems2010a,
	Author = {J. C. Willems},
	Booktitle = {Perspectives in Mathematical System Theory, Control, and Signal Processing},
	Doi = {10.1007/978-3-540-93918-4_3},
	Owner = {humberto.shiromoto},
	Pages = {27-36},
	Publisher = {Springer},
	Timestamp = {2015.12.15},
	Title = {Ports and Terminals},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-540-93918-4_3}}

@incollection{Willems2008,
	Author = {J. C. Willems},
	Booktitle = {Analysis and Design of Nonlinear Control Systems},
	Doi = {10.1007/978-3-540-74358-3_3},
	Owner = {humberto.shiromoto},
	Pages = {25-39},
	Publisher = {Springer},
	Timestamp = {2015.12.15},
	Title = {System Interconnection},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-540-74358-3_3}}

@article{Willems2007,
	Author = {J. C. Willems},
	Doi = {10.1109/mcs.2007.906923},
	Journal = {{IEEE} Control Syst. Mag.},
	Month = {dec},
	Number = {6},
	Owner = {humberto.shiromoto},
	Pages = {46-99},
	Publisher = {Institute of Electrical {\&} Electronics Engineers ({IEEE})},
	Timestamp = {2015.10.12},
	Title = {The Behavioral Approach to Open and Interconnected Systems},
	Volume = {27},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1109/mcs.2007.906923}}

@incollection{Willems1999,
	Author = {J. C. Willems},
	Booktitle = {The Kluwer International Series in Engineering and Computer Science},
	Doi = {10.1007/978-1-4615-5223-9_3},
	Owner = {humberto.shiromoto},
	Pages = {39--53},
	Publisher = {Springer},
	Timestamp = {2015.12.15},
	Title = {Dissipative Distributed Systems},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4615-5223-9_3}}

@incollection{Willems1999a,
	Author = {J. C. Willems},
	Booktitle = {Open Problems in Mathematical Systems and Control Theory},
	Doi = {10.1007/978-1-4471-0807-8_50},
	Owner = {humberto.shiromoto},
	Pages = {273--276},
	Publisher = {Springer},
	Timestamp = {2015.12.15},
	Title = {Lyapunov theory for high order differential systems},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4471-0807-8_50}}

@incollection{Willems1999b,
	Author = {J. C. Willems},
	Booktitle = {Mathematical Control Theory},
	Doi = {10.1007/978-1-4612-1416-8_1},
	Owner = {humberto.shiromoto},
	Pages = {1--32},
	Publisher = {Springer},
	Timestamp = {2015.12.15},
	Title = {Path Integrals and Stability},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4612-1416-8_1}}

@incollection{Willems1976,
	Author = {Jan C. Willems},
	Booktitle = {Directions in Large-Scale Systems},
	Doi = {10.1007/978-1-4684-2259-7_23},
	Owner = {humberto.shiromoto},
	Pages = {401-410},
	Publisher = {Springer},
	Timestamp = {2015.11.24},
	Title = {Stability of Large Scale Interconnected Systems},
	Year = {1976},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4684-2259-7_23}}

@article{Willems1972,
	Abstract = {The first part of this two-part paper presents a general theory of dissipative dynamical systems. The mathematical model used is a state space model and dissipativeness is defined in terms of an inequality involving the storage function and the supply function. It is shown that the storage function satisfies an a priori inequality: it is bounded from below by the available storage and from above by the required supply. The available storage is the amount of internal storage which may be recovered from the system and the required supply is the amount of supply which has to be delivered to the system in order to transfer it from the state of minimum storage to a given state. These functions are themselves possible storage functions, i.e. , they satisfy the dissipation inequality. Moreover, since the class of possible storage functions forms a convex set, there is thus a continuum of possible storage functions ranging from its lower bound, the available storage, to its upper bound, the required supply. The paper then considers interconnected systems. It is shown that dissipative systems which are interconnected via a neutral interconnection constraint define a new dissipative dynamical system and that the sum of the storage functions of the individual subsystems is a storage function for the interconnected system. The stability of dissipative systems is then investigated and it is shown that a point in the state space where the storage function attains a local minimum defines a stable equilibrium and that the storage function is a Lyapunov function for this equilibrium. These results are then applied to several examples. These concepts and results will be applied to linear dynamical systems with quadratic supply rates in the second part of this paper.},
	Author = {J. C. Willems},
	Date-Added = {2012-10-25 14:14:34 +0000},
	Date-Modified = {2012-10-25 14:18:18 +0000},
	Doi = {10.1007/BF00276493},
	Issn = {0003-9527},
	Issue = {5},
	Journal = {Archive for Rational Mechanics and Analysis},
	Keyword = {Physique et Astronomie},
	Pages = {321-351},
	Publisher = {Springer Berlin / Heidelberg},
	Title = {Dissipative dynamical systems part I: General theory},
	Volume = {45},
	Year = {1972},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF00276493}}

@article{Willems1972a,
	Abstract = {This paper presents the theory of dissipative systems in the context of finite dimensional stationary linear systems with quadratic supply rates. A necessary and sufficient frequency domain condition for dissipativeness is derived. This is followed by the evaluation of the available storage and the required supply and of a time-domain criterion for dissipativeness involving certain matrix inequalities. The quadratic storage functions and the dissipation functions are then examined. The discussion then turns to reciprocal systems and it is shown that external reciprocity and dissipativeness imply the existence of a state space realization which is also internally reciprocal and dissipative. The paper proceeds with an examination of reversible systems and of relaxation systems. In particular, it is shown how a unique internal storage function may be defined for relaxation systems. These results are applied to the synthesis of electrical networks and the theory of linear viscoelastic materials.},
	Author = {Willems, Jan C.},
	Date-Added = {2012-10-25 14:17:54 +0000},
	Date-Modified = {2012-10-25 14:18:25 +0000},
	Doi = {10.1007/BF00276494},
	Issn = {0003-9527},
	Issue = {5},
	Journal = {Archive for Rational Mechanics and Analysis},
	Keyword = {Physique et Astronomie},
	Pages = {352-393},
	Publisher = {Springer Berlin / Heidelberg},
	Title = {Dissipative dynamical systems Part II: Linear systems with quadratic supply rates},
	Volume = {45},
	Year = {1972},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF00276494}}

@incollection{Willems1984,
	Author = {J. C. Willems and M. Ikeda},
	Booktitle = {Analysis and Optimization of Systems},
	Doi = {10.1007/bfb0004957},
	Owner = {humberto.shiromoto},
	Pages = {236-244},
	Publisher = {Springer},
	Series = {Lecture Notes in Control and Information Sciences},
	Timestamp = {2015.11.24},
	Title = {Decentralized stabilization of large-scale interconnected systems},
	Volume = {62},
	Year = {1984},
	Bdsk-Url-1 = {https://doi.org/10.1007/bfb0004957}}

@article{Wrzaczek20122812,
	Abstract = {The paper studies the firms{\^a}{\^a}‚¬{\texttrademark} optimal investment behavior in a dynamic duopoly framework. Embodied technological progress means later generations are more productive. The resulting model is a differential game combined with a vintage capital goods structure. Since such a framework has not been analyzed before, existing concepts have to be modified.

After deriving that our solution is time consistent, our numerical analysis first shows that a technological breakthrough generates equilibrium investment behavior that admits anticipation waves, which are enhanced by competition. Second, the shape of these anticipation waves depends on the age of the underlying capital good: for younger capital goods the upward peaks are more pronounced, whereas for older ones this holds for the downward peaks. Third, we show that if a firm is able to anticipate on future technological developments, this results in a higher market share in the long run.},
	Author = {Stefan Wrzaczek and Peter M. Kort},
	Date-Added = {2012-10-15 09:05:33 +0000},
	Date-Modified = {2012-10-15 09:05:33 +0000},
	Doi = {10.1016/j.automatica.2012.08.007},
	Issn = {0005-1098},
	Journal = {Automatica},
	Keywords = {Maximum principle},
	Number = {11},
	Pages = {2812 - 2823},
	Title = {Anticipation in innovative investment under oligopolistic competition},
	Url = {http://www.sciencedirect.com/science/article/pii/S0005109812004086},
	Volume = {48},
	Year = {2012},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0005109812004086},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.automatica.2012.08.007}}

@book{Yoshizawa:1966,
	Author = {T. Yoshizawa},
	Date-Added = {2014-02-17 14:29:39 +0000},
	Date-Modified = {2014-02-17 14:30:29 +0000},
	Publisher = {The Mathematical Society of Japan},
	Title = {Stability Theory by {L}iapunov's Second Method},
	Year = {1966}}

@article{Zames1966P1,
	Abstract = { The object of this paper is to outline a stability theory for input-output problems using functional methods. More particularly, the aim is to derive open loop conditions for the boundedness and continuity of feedback systems, without, at the beginning, placing restrictions on linearity or time invariance. It will be recalled that, in the special case of a linear time invariant feedback system, stability can be assessed using Nyquist's criterion; roughly speaking, stability depends on the mounts by which signals are amplified and delayed in flowing around the loop. An attempt is made here to show that similar considerations govern the behavior of feedback systems in general-that stability of nonlinear time-varying feedback systems can often be assessed from certain gross features of input-output behavior, which are related to amplification and delay. This paper is divided into two parts: Part I contains general theorems, free of restrictions on linearity or time invariance; Part II, which will appear in a later issue, contains applications to a loop with one nonlinear element. There are three main results in Part I, which follow the introduction of concepts of gain, conicity, positivity, and strong positivity: THEOREM 1: If the open loop gain is less than one, then the closed loop is bounded. THEOREM 2: If the open loop can be factored into two, suitably proportioned, conic relations, then the closed loop is bounded. THEOREM 3: If the open loop can be factored into two positive relations, one of which is strongly positive and has finite gain, then the closed loop is bounded. Results analogous to Theorems I-3, but with boundedness replaced by continuity, are also obtained.},
	Annote = {This paper introduces the notion of input-output gains by modelling feedback as mappings from a space of input functions to the space of output function.

This way, the author uses notions from variational calculus (such as L-spaces) to the study of stability of systems. This approach is justified by author in the following passage:

" by posing the feedback problem in terms of relations (rather than in terms of operators) all questions of existence and uniqueness of solutions are avoided ".

The concept the gain is then defined as a supremum and an application is the study of the stabilization of interonnected system by using gains composition approach. In order words, the system is stable in closed-loop if in open loop the gains composition is sufficiently small.

This study is based on the Contraction Principle.},
	Author = {G. Zames},
	Date-Added = {2012-03-29 13:22:15 +0000},
	Date-Modified = {2014-01-26 11:43:27 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear;},
	Number = {2},
	Pages = {228-238},
	Title = {On the input-output stability of time-varying nonlinear feedback systems Part {I}: Conditions derived using concepts of loop gain, conicity, and positivity},
	Volume = {11},
	Year = {1966},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.1966.1098316}}

@article{Zames1966P2,
	Abstract = { The object of this paper is to outline a stability theory based on functional methods. Part I of the paper was devoted to a general feedback configuration. Part II is devoted to a feedback system consisting of two elements, one of which is linear time-invariant, and the other nonlinear. An attempt is made to unify several stability conditions, including Popov's condition, into a single principle. This principle is based on the concepts of conicity and positivity, and provides a link with the notions of gain and phase shift of the linear theory. Part II draws on the (generalized) notion of a "sector non-linearity." A nonlinearityNis said to be INSIDE THE SECTOR{alpha,beta}if it satisfies an inequality of the typelangle(Nx-alphax)_{t}, (Nx-betax)_{t}rangleleq0. IfNis memoryless and is characterized by a graph in the plane, then this simply means that the graph lies inside a sector of the plane. However, the preceding definition extends the concept to include nonlinearities with memory. There are two main results. The first result, the CIRCLE THEOREM, asserts in part that: If the nonlinearity is inside a sector{alpha, beta}, and if the frequency response of the linear element avoids a "critical region" in the complex plane, then the closed loop is bounded; ifalpha gt; 0then the critical region is a disk whose center is halfway between the points-1/alphaand-1/beta, and whose diameter is greater than the distance between these points. The second result is a method for taking into account the detailed properties of the nonlinearity to get improved stability conditions. This method involves the removal of a "multiplier" from the linear element. The frequency response of the linear element is modified by the removal, and, in effect, the size of the critical region is reduced. Several conditions, including Popov's condition, are derived by this method, under various restrictions on the nonlinearityN; the following cases are treated: (i)Nis instantaneously inside a sector{alpha, beta}. (ii)Nsatisfies (i) and is memoryless and time-invariant. (iii)Nsatisfies (ii) and has a restricted - slope.},
	Author = {G. Zames},
	Date-Added = {2012-03-29 13:24:01 +0000},
	Date-Modified = {2014-01-26 11:43:32 +0000},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Keywords = {Nonlinear systems, time-varying; Nonlinearities; Stability; Time-varying systems, nonlinear;},
	Number = {3},
	Pages = {465-476},
	Title = {On the input-output stability of time-varying nonlinear feedback systems Part {II}: Conditions involving circles in the frequency plane and sector nonlinearities},
	Volume = {11},
	Year = {1966},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.1966.1098356}}

@article{Zames1963,
	Abstract = {An operator theory is outlined for the general, nonlinear, feedback loop. Methods for bounding system responses and investigating stability are introduced. An iterative expansion of the feedback loop, valid for large nonlinearities and unstable systems, is derived. The theory is applied to the study of nonlinear distortion in a class of amplifiers; it is shown that feedback reduces distortion for band-limited inputs. A model of the distortion is obtained, shown to be stable, and an iteration whose rate of convergence is optimized is derived.},
	Author = {G. Zames},
	Date-Added = {2012-12-07 14:13:02 +0000},
	Date-Modified = {2014-01-26 11:43:22 +0000},
	Journal = {{IEEE} Transactions on Circuit Theory},
	Number = {3},
	Pages = {392-404},
	Title = {Functional Analysis Applied to Nonlinear Feedback Systems},
	Volume = {10},
	Year = {1963},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TCT.1963.1082162}}

@article{ZhangLiChen2006,
	Author = {C.-Y. Zhang and Y.-T. Li and F. Chen},
	Doi = {10.1016/j.laa.2005.10.046},
	Journal = {Linear Algebra and its Applications},
	Month = {apr},
	Number = {2-3},
	Pages = {533-546},
	Publisher = {Elsevier {BV}},
	Title = {On Schur complement of block diagonally dominant matrices},
	Volume = {414},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.laa.2005.10.046}}

@book{Zhang:2005,
	Author = {F. Zhang},
	Date-Added = {2014-02-09 16:35:34 +0000},
	Date-Modified = {2014-02-09 16:36:09 +0000},
	Publisher = {Springer},
	Title = {The {S}chur complement and its applications},
	Year = {2005}}

@book{Chen2004,
	Editor = {W.-K. Chen},
	Owner = {humberto.shiromoto},
	Publisher = {Elsevier},
	Timestamp = {2016.04.19},
	Title = {The Electrical Engineering Handbook},
	Year = {2004}}

@book{Eremia2013,
	Editor = {Eremia, M.; Shahidehpour, M.},
	Owner = {humberto.shiromoto},
	Publisher = {{IEEE} and Wiley},
	Timestamp = {2016.03.10},
	Title = {Handbook of electrical power system dynamics: modeling, stability, and control},
	Year = {2013}}

@book{Francis1995,
	Doi = {10.1007/bfb0027665},
	Editor = {B. A. Francis and A. R. Tannenbaum},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Lecture Notes in Control and Information Sciences},
	Timestamp = {2015.10.09},
	Title = {Feedback Control, Nonlinear Systems, and Complexity},
	Volume = {202},
	Year = {1995},
	Bdsk-Url-1 = {https://doi.org/10.1007/bfb0027665}}

@book{Pettersen2006,
	Doi = {10.1007/11505532},
	Editor = {K. Y. Pettersen and J. T. Gravdahl and H. Nijmeijer},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Series = {Lecture Notes in Control and Information Science},
	Timestamp = {2016.02.23},
	Title = {Group Coordination and Cooperative Control},
	Volume = {336},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1007/11505532}}

@book{Wang2008,
	Doi = {10.1007/978-1-84800-215-9},
	Editor = {F.-Y. Wang and D. Liu},
	Owner = {humberto.shiromoto},
	Publisher = {Springer},
	Timestamp = {2016.01.29},
	Title = {Networked Control Systems: Theory and Applications},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-84800-215-9}}

@book{Willems2010,
	Doi = {10.1007/978-3-540-93918-4},
	Editor = {J. C. Willems and S. Hara and Y. Ohta and H. Fujioka},
	Owner = {humberto.shiromoto},
	Publisher = {Springer Berlin Heidelberg},
	Timestamp = {2015.10.19},
	Title = {Perspectives in Mathematical System Theory, Control, and Signal Processing},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-540-93918-4}}

@misc{Microactionneurs_piezoelectriques:2015,
	Howpublished = {Notes de cours},
	Owner = {humbertoshiromoto},
	Timestamp = {2015.05.07},
	Title = {Microactionneurs piezoelectriques},
	Year = {2015}}

@electronic{MITTechReview201504,
	Month = {April},
	Note = {(Dernier acces le 3 mai 2015)},
	Organization = {MIT Technology Review},
	Owner = {humbertoshiromoto},
	Timestamp = {2015.05.03},
	Title = {Security Experts Hack Teleoperated Surgical Robot},
	Url = {http://www.technologyreview.com/view/537001/security-experts-hack-teleoperated-surgical-robot/},
	Year = {2015},
	Bdsk-Url-1 = {http://www.technologyreview.com/view/537001/security-experts-hack-teleoperated-surgical-robot/}}

@techreport{WEF:2015,
	Institution = {World Economic Forum},
	Owner = {gebruiker},
	Timestamp = {2015.01.20},
	Title = {Insight Report: Global Risks 2015},
	Year = {2015}}

@inproceedings{SteinShiromotoManchester2016,
	Address = {Las Vegas, NV, USA},
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and I. R. Manchester},
	Booktitle = {Proceedings of the 55th {C}onference on {D}ecision and {C}ontrol ({CDC})},
	Doi = {10.1109/CDC.2016.7799122},
	Eprint = {1609.07237},
	Month = {Dec},
	Pages = {5551-5556},
	Primaryclass = {math.OC},
	Title = {Decentralized Nonlinear Feedback Design with Separable Control Contraction Metrics},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2016.7799122}}

@book{SteinShiromoto2017,
	Author = {H. {Stein Shiromoto}},
	Doi = {10.1007/978-3-319-52012-4},
	Publisher = {Springer},
	Title = {Design and Analysis of Control Systems},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-52012-4}}

@book{Briat2015,
	Author = {C. Briat},
	Doi = {10.1007/978-3-662-44050-6},
	Publisher = {Springer},
	Title = {Linear Parameter-Varying and Time-Delay Systems},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-662-44050-6}}

@article{BlondelTsitsiklis1997,
	Author = {V. Blondel and J. N. Tsitsiklis},
	Doi = {10.1137/s0363012994272630},
	File = {:C\:\\Users\\humberto\\Dropbox\\Library\\Periodicals\\SIAM Journal on Control and Optimization\\Blondel, V.\; Tsitsiklis, J. N. -- NP-Hardness of Some Linear Control Design Problems.pdf:PDF},
	Journal = {{SIAM} {J}. {C}ontrol {O}ptim.},
	Journaltitle = {{SIAM} {J}. {C}ontrol {O}ptim.},
	Month = {nov},
	Number = {6},
	Pages = {2118-2127},
	Title = {{NP}-{H}ardness of {S}ome {L}inear {C}ontrol {D}esign {P}roblems},
	Volume = {35},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1137/s0363012994272630}}

@electronic{SteinShiromotoFeketaDashkovskiy2016,
	Archiveprefix = {arXiv},
	Author = {H. {Stein Shiromoto} and P. Feketa and S. Dashkovskiy},
	Eprint = {1606.02360},
	Title = {{E}xample {D}emonstrating the {A}pplication of {S}mall-gain and {D}ensity {P}ropagation {C}onditions for {I}nterconnections},
	Year = {2016}}

@article{DashkovskiyMironchenko2013,
	Author = {S. Dashkovskiy and A. Mironchenko},
	Doi = {10.1137/120881993},
	File = {:C\:\\Users\\humberto\\Dropbox\\Library\\Periodicals\\SIAM Journal on Control and Optimization\\Dashkovskiy, S.\; Mironchenko, A. -- Input-to-State Stability of Nonlinear Impulsive Systems.pdf:PDF},
	Journal = {{SIAM} Journal on Control and Optimization},
	Month = {jan},
	Number = {3},
	Pages = {1962--1987},
	Title = {{I}nput-to-{S}tate {S}tability of {N}onlinear {I}mpulsive {S}ystems},
	Volume = {51},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1137/120881993}}

@article{Feketa2016,
	Author = {P. Feketa and H. {Stein Shiromoto} and S. Dashkovskiy},
	Journaltitle = {Automatica (under review)},
	Title = {Almost {ISS} {P}roperty for {F}eedback {C}onnected {S}ystems},
	Year = {2016}}

@article{Goodwin1965,
	Author = {B. C. Goodwin},
	Doi = {10.1016/0065-2571(65)90067-1},
	Journal = {Advances in Enzyme Regulation},
	Month = {jan},
	Pages = {425-438},
	Title = {Oscillatory behavior in enzymatic control processes},
	Volume = {3},
	Year = {1965},
	Bdsk-Url-1 = {https://doi.org/10.1016/0065-2571(65)90067-1}}

@book{Ingalls2013,
	Author = {B. P. Ingalls},
	Publisher = {MIT Press},
	Title = {Mathematical Modeling in Systems Biology},
	Year = {2013}}

@book{Lunze2014,
	Doi = {10.1007/978-3-319-01131-8},
	Editor = {J. Lunze},
	Title = {Control Theory of Digitally Networked Dynamic Systems},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-01131-8}}

@article{Sontag1983,
	Author = {E. D. Sontag},
	Doi = {10.1137/0321028},
	Journal = {{SIAM} {J}. {C}ontrol {O}ptim.},
	Month = {may},
	Number = {3},
	Pages = {462-471},
	Title = {A {L}yapunov-{L}ike {C}haracterization of {A}symptotic {C}ontrollability},
	Volume = {21},
	Year = {1983},
	Bdsk-Url-1 = {https://doi.org/10.1137/0321028}}

@article{MazencMalisoff2006,
	Author = {F. Mazenc and M. Malisoff},
	Doi = {10.1109/tac.2005.863500},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {feb},
	Number = {2},
	Pages = {360--365},
	Title = {{F}urther {C}onstructions of {C}ontrol-{L}yapunov {F}unctions and {S}tabilizing {F}eedbacks for {S}ystems {S}atisfying the {J}urdjevic{\textendash}{Q}uinn {C}onditions},
	Url = {http://dx.doi.org/10.1109/TAC.2005.863500},
	Volume = {51},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1109/TAC.2005.863500},
	Bdsk-Url-2 = {http://dx.doi.org/10.1109/tac.2005.863500}}

@book{DullerudPaganini2000,
	Author = {G. E. Dullerud and F. Paganini},
	Doi = {10.1007/978-1-4757-3290-0},
	Publisher = {Springer},
	Title = {{A} {C}ourse in {R}obust {C}ontrol {T}heory},
	Year = {2000},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4757-3290-0}}

@book{Siljak1991,
	Author = {D. D. \v{S}iljak},
	Publisher = {Academic Press},
	Title = {{D}ecentralized {C}ontrol of {C}omplex {S}ystems},
	Year = {1991}}

@article{CanudasdeWitMorbidiLeonOjedaEtAl2015,
	Author = {C. {Canudas de Wit} and F. Morbidi and L. {Leon Ojeda} and A. Y. Kibangou and I. Bellicot and P. Bellemain},
	Doi = {10.1109/mcs.2015.2406657},
	Journal = {{IEEE} {C}ontrol {S}ystems {M}agazine},
	Month = {jun},
	Number = {3},
	Pages = {23-39},
	Title = {Grenoble {T}raffic {L}ab: {A}n {E}xperimental {P}latform for {A}dvanced {T}raffic {M}onitoring and {F}orecasting},
	Volume = {35},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1109/mcs.2015.2406657}}

@book{MalisoffMazenc2009,
	Author = {M Malisoff and F. Mazenc},
	Doi = {10.1007/978-1-84882-535-2},
	Publisher = {Springer},
	Title = {Constructions of Strict Lyapunov Functions},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-84882-535-2}}

@article{Sanfelice2014,
	Author = {R. G. Sanfelice},
	Doi = {10.1109/tac.2013.2292455},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {may},
	Number = {5},
	Pages = {1360-1366},
	Title = {{I}nput-{O}utput-to-{S}tate {S}tability {T}ools for {H}ybrid {S}ystems and {T}heir {I}nterconnections},
	Volume = {59},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2013.2292455}}

@book{Gruene2002,
	Author = {Lars Gr\"{u}ne},
	Doi = {10.1007/b83677},
	Publisher = {Springer},
	Title = {Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1007/b83677}}

@online{Tedrake2016,
	Author = {R. Tedrake},
	Date = {2016-09-16},
	Title = {Underactuated Robotics: Algorithms for Walking, Running, Swimming, Flying, and Manipulation (Course Notes for MIT 6.832)},
	Url = {http://underactuated.mit.edu/},
	Year = {2016},
	Bdsk-Url-1 = {http://underactuated.mit.edu/}}

@book{LandauLifshitz1959,
	Author = {L. D. Landau and E. M. Lifshitz},
	Publisher = {Pergamon Press},
	Subtitle = {A Course of Theoretical Physics},
	Title = {Fluid Mechanics},
	Volume = {6},
	Year = {1959}}

@book{LarockJeppsonWatters1940,
	Author = {B. E. Larock and R. W. Jeppson and G. Z. Watters},
	Publisher = {CRC Press},
	Title = {Hydraulics of Pipeline Systems},
	Year = {1940}}

@book{PoldermanWillems1998,
	Author = {J. W. Polderman and J. C. Willems},
	Doi = {10.1007/978-1-4757-2953-5},
	Publisher = {Springer},
	Title = {Introduction to Mathematical Systems Theory},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4757-2953-5}}

@www{Simpson2016,
	Author = {C. Simpson},
	Date = {2016-09-21},
	Language = {English},
	Timestamp = {2016-09-21},
	Title = {CSIRO Will Spend \$50 Million A Year On `Breakthrough Science' By 2020},
	Url = {http://www.gizmodo.com.au/2016/09/csiro-will-spend-50-million-on-breakthrough-science-by-2020/},
	Year = {2016},
	Bdsk-Url-1 = {http://www.gizmodo.com.au/2016/09/csiro-will-spend-50-million-on-breakthrough-science-by-2020/}}

@www{Press2012,
	Author = {Press},
	Date = {2012-09-14},
	Title = {Nearly \$50 Million in Research Funding Awarded by NSF-Led National Robotics Initiative to Develop Next-Generation Robotics},
	Url = {http://www.nsf.gov/news/news_summ.jsp?cntn_id=125390},
	Year = {2012},
	Bdsk-Url-1 = {http://www.nsf.gov/news/news_summ.jsp?cntn_id=125390}}

@article{PhamSlotine2007,
	Author = {Q.-C. Pham and J.-J. Slotine},
	Doi = {10.1016/j.neunet.2006.07.008},
	Journal = {Neural Networks},
	Month = {jan},
	Number = {1},
	Pages = {62--77},
	Title = {Stable concurrent synchronization in dynamic system networks},
	Volume = {20},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.neunet.2006.07.008}}

@article{ManchesterSlotine2017,
	Author = {I. R. Manchester and J.-J. Slotine},
	Bibsource = {dblp computer science bibliography, http://dblp.org},
	Biburl = {http://dblp.uni-trier.de/rec/bib/journals/corr/ManchesterS15},
	Doi = {10.1109/TAC.2017.2668380},
	Journal = {CoRR},
	Journaltitle = {{IEEE} {T}rans. {A}utom. {C}ontrol (to appear)},
	Timestamp = {Thu, 09 Apr 2015 11:33:20 +0200},
	Title = {Control Contraction Metrics: Convex and Intrinsic Criteria for Nonlinear Feedback Design},
	Year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2017.2668380}}

@inproceedings{KontarasHeertjesZwart2016,
	Author = {N. Kontaras and M. Heertjes and H. Zwart},
	Booktitle = {12th {IFAC} {W}orkshop on {A}daptation and {L}earning in {C}ontrol and {S}ignal {P}rocessing (ALCOSP 2016)},
	Date = {2016-06-29},
	Doi = {10.1016/j.ifacol.2016.07.930},
	Issue = {49},
	Journal = {{IFAC}-{PapersOnLine}},
	Location = {Eindhoven, The Netherlands},
	Number = {13},
	Pages = {76-81},
	Title = {Continuous compliance compensation of position-dependent flexible structures},
	Volume = {49},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.ifacol.2016.07.930}}

@article{GermannMaesaniPericetCamaraEtAl2014,
	Abstract = {Programmable self-assembly of chained robotic systems
                 holds potential for the automatic construction of complex
                 robots from a minimal set of building blocks. However,
                 current robotic platforms are limited to modules of
                 uniform rigidity, which results in a limited range of
                 obtainable morphologies and thus functionalities of the
                 system. To address these challenges, we investigate in
                 this paper the role of softness in a programmed
                 self-assembling chain system. We rely on a model system
                 consisting of ?soft cells? as modules that can obtain
                 different mechanical softness presettings. Starting from
                 a linear chain configuration, the system self-folds into
                 a target morphology based on the intercellular
                 interactions. We systematically investigate the influence
                 of mechanical softness of the individual cells on the
                 self-assembly process. Also, we test the hypothesis that
                 a mixed distribution of cells of different softness
                 enhances the diversity of achievable morphologies at a
                 given resolution compared to systems with modules of
                 uniform rigidity. Finally, we illustrate the potential of
                 our system by the programmable self-assembly of complex
                 and curvilinear morphologies that state-of-the-art
                 systems can only achieve by significantly increasing
                 their number of modules.},
	Affiliation = {EPFL},
	Author = {J. M. Germann and A. Maesani and R. {Pericet Camara} and D. Floreano},
	Details = {http://infoscience.epfl.ch/record/199936},
	Documenturl = {https://infoscience.epfl.ch/record/199936/files/Germann_f.pdf},
	Doi = {10.1089/soro.2014.0005},
	Journal = {Soft {R}obotics},
	Keywords = {Modular Robotics; Multi-cellular Robotics; Soft Robotics; Self-assembly; Programmable Self-assembly},
	Note = {NCCR, softSRrobots},
	Number = {4},
	Oai-Id = {oai:infoscience.epfl.ch:199936},
	Oai-Set = {driver},
	Pages = {239--245},
	Review = {REVIEWED},
	Status = {PUBLISHED},
	Submitter = {198260; 198260; 198260; 198260; 198260; 198260; 198260; 198260; 255330},
	Title = {Soft {C}ells for {P}rogrammable {S}elf-{A}ssembly of {R}obotic {M}odules},
	Unit = {LIS},
	Volume = {1},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1089/soro.2014.0005}}

@inproceedings{Eager2008,
	Author = {R. J. Eager},
	Booktitle = {Proc. SPIE Acquisition, Tracking, Pointing, and Laser Systems Technologies {XXII}},
	Doi = {10.1117/12.776791},
	Editor = {Steven L. Chodos and William E. Thompson},
	Month = {apr},
	Title = {Application of network control systems for adaptive optics},
	Volume = {6971},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1117/12.776791}}

@article{PengChen2013,
	Author = {J. Peng and X. Chen},
	Doi = {10.4236/mme.2013.31001},
	Journal = {{MME}},
	Number = {01},
	Pages = {1-20},
	Publisher = {Scientific Research Publishing, Inc,},
	Title = {A Survey of Modeling and Control of Piezoelectric Actuators},
	Volume = {03},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.4236/mme.2013.31001}}

@www{TejadaHorvathShiromotoEtAl2015,
	Author = {A. Tejada and K. Horvath and H. Stein Shiromoto and H. Bosman},
	Title = {Demonstration of the Wireless Sensor Network in Action},
	Url = {http://goo.gl/IWvtW4},
	Year = {2015},
	Bdsk-Url-1 = {http://goo.gl/IWvtW4}}

@online{PakazadHanssonAndersenEtAl2015,
	Author = {S. K. Pakazad and A. Hansson and M. S. Andersen and A. Rantzer},
	Eprint = {1504.07755},
	Eprintclass = {math.OC},
	Eprinttype = {arXiv},
	Title = {Distributed {S}emidefinite {P}rogramming with {A}pplication to {L}arge-scale {S}ystem {A}nalysis (arXiv:1504.07755)},
	Year = {2015}}

@article{VandenbergheAndersen2015,
	Author = {L. Vandenberghe and M. S. Andersen},
	Doi = {10.1561/2400000006},
	Journal = {Foundations and {T}rends in {O}ptimization},
	Number = {4},
	Pages = {241-433},
	Title = {Chordal {G}raphs and {S}emidefinite {O}ptimization},
	Volume = {1},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1561/2400000006}}

@article{BronKerbosch1973,
	Acmid = {362367},
	Address = {New York, NY, USA},
	Author = {C. Bron and J. Kerbosch},
	Doi = {10.1145/362342.362367},
	Issue_Date = {Sept. 1973},
	Journal = {Commun. ACM},
	Journaltitle = {Commun. ACM},
	Number = {9},
	Numpages = {3},
	Pages = {575-577},
	Title = {Algorithm 457: {F}inding {A}ll {C}liques of an {U}ndirected {G}raph},
	Volume = {16},
	Year = {1973},
	Bdsk-Url-1 = {https://doi.org/10.1145/362342.362367}}

@article{Lyapunov1992,
	Author = {A. M. Lyapunov},
	Issue = {3},
	Journaltitle = {International Journal of Control},
	Pages = {539-772},
	Title = {The {G}eneral {P}roblem of the {S}tability of {M}otion},
	Volume = {55},
	Year = {1992}}

@article{JiangPraly1998,
	Author = {Z.-P. Jiang and L. Praly},
	Doi = {10.1016/s0005-1098(98)00018-1},
	Journal = {Automatica},
	Month = {jul},
	Number = {7},
	Pages = {825-840},
	Title = {Design of {R}obust {A}daptive {C}ontrollers for {N}onlinear {S}ystems with {D}ynamic {U}ncertainties},
	Volume = {34},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1016/s0005-1098(98)00018-1}}

@article{JiangMarcels1997,
	Author = {Z.-P. Jiang and I. M. Y. Mareels},
	Doi = {10.1109/9.557574},
	Journal = {{IEEE} {T}rans. {A}utomat. {C}ontrol},
	Month = {mar},
	Number = {3},
	Pages = {292-308},
	Title = {A {S}mall-gain {C}ontrol {M}ethod for {N}onlinear {C}ascaded {S}ystems with {D}ynamic {U}ncertainties},
	Volume = {42},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1109/9.557574}}

@article{KokotovicArcak2001,
	Author = {P. Kokotovi{\'{c}} and M. Arcak},
	Doi = {10.1016/s0005-1098(01)00002-4},
	Journal = {Automatica},
	Month = {may},
	Number = {5},
	Pages = {637-662},
	Title = {{C}onstructive {N}onlinear {C}ontrol: A {H}istorical {P}erspective},
	Volume = {37},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1016/s0005-1098(01)00002-4}}

@book{Higham1998,
	Author = {N. J. Higham},
	Doi = {10.1137/1.9780898719550},
	Month = {jan},
	Publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
	Title = {Handbook of {W}riting for the {M}athematical {S}ciences},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1137/1.9780898719550}}

@article{Forbes2015,
	Author = {J. R. Forbes},
	Doi = {10.1016/j.actaastro.2014.10.006},
	Journal = {Acta Astronautica},
	Month = {feb},
	Pages = {187--195},
	Publisher = {Elsevier {BV}},
	Title = {Attitude {C}ontrol with {A}ctive {A}ctuator {S}aturation {P}revention},
	Volume = {107},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.actaastro.2014.10.006}}

@article{TianXu2012,
	Author = {L. Tian and S. Xu},
	Doi = {10.1016/s1000-9361(11)60400-7},
	Journal = {Chinese Journal of Aeronautics},
	Month = {jun},
	Number = {3},
	Pages = {437--445},
	Publisher = {Elsevier {BV}},
	Title = {Attitude {C}ontrol {C}onsidering {V}ariable {I}nput {S}aturation {L}imit for a {S}pacecraft {E}quipped with {F}lywheels},
	Volume = {25},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1016/s1000-9361(11)60400-7}}

@incollection{BlairPeyton1993,
	Author = {J. R. S. Blair and B. Peyton},
	Booktitle = {Graph {T}heory and {S}parse {M}atrix {C}omputation},
	Doi = {10.1007/978-1-4613-8369-7_1},
	Pages = {1--29},
	Title = {An {I}ntroduction to {C}hordal {G}raphs and {C}lique {T}rees},
	Year = {1993},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4613-8369-7_1}}

@inproceedings{Peet2010,
	Author = {M. M. Peet and Y. V. Peet},
	Booktitle = {Proceedings of the {A}merican {C}ontrol {C}onference ({ACC})},
	Doi = {10.1109/acc.2010.5530905},
	Location = {Baltimore, MD, USA},
	Month = {jun},
	Pages = {4851-4856},
	Title = {A {P}arallel-{C}omputing {S}olution for {O}ptimization of {P}olynomials},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1109/acc.2010.5530905}}

@article{Furber2008,
	Author = {S. Furber},
	Doi = {10.1093/comjnl/bxn022},
	Journal = {The {C}omputer {J}ournal},
	Month = {jan},
	Number = {6},
	Pages = {735-740},
	Title = {The {F}uture of {C}omputer {T}echnology and its {I}mplications for the {C}omputer {I}ndustry},
	Volume = {51},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1093/comjnl/bxn022}}

@book{Diestel2005,
	Author = {R. Diestel},
	Publisher = {Springer},
	Series = {Graduate Texts in Mathematics},
	Title = {{G}raph {T}heory},
	Volume = {173},
	Year = {2005}}

@article{AhmadiHall2016,
	Author = {A. A. Ahmadi and G. Hall},
	Eprint = {1510.01597},
	Eprintclass = {arxiv},
	File = {:C\:\\Users\\humberto\\Dropbox\\Library\\Periodicals\\ArXiv\\Ahmadi, A. A.\; Hall, G. -- Sum of Squares Basis Pursuit with Linear and Second Order Cone Programming.pdf:PDF},
	Journaltitle = {Contemporary {M}athematics (to appear)},
	Title = {Sum of {S}quares {B}asis {P}ursuit with {L}inear and {S}econd {O}rder {C}one {P}rogramming},
	Year = {2016}}

@article{VandenbergheBoyd1996,
	Author = {L. Vandenberghe and S. Boyd},
	Doi = {10.1137/1038003},
	Journal = {{SIAM} Review},
	Journaltitle = {{SIAM} {R}eview},
	Month = {mar},
	Number = {1},
	Pages = {49-95},
	Publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
	Title = {{S}emidefinite {P}rogramming},
	Volume = {38},
	Year = {1996},
	Bdsk-Url-1 = {https://doi.org/10.1137/1038003}}

@book{GreenlawHooverRuzzo1995,
	Author = {R. Greenlaw and H. J. Hoover and W. L. Ruzzo},
	File = {:C\:\\Users\\humberto\\Dropbox\\Library\\Books\\Greenlaw, R.\; Hoover, H. J.\; Ruzzo, W. -- Limits to parallel computation. P-completeness theory.pdf:PDF},
	Publisher = {Oxford University Press},
	Title = {Limits to {P}arallel {C}omputation: {P}-{C}ompleteness {T}heory},
	Year = {1995}}

@incollection{SezerSiljak2011,
	Author = {M. E. Sezer and D. D. \v{S}iljak},
	Booktitle = {{T}he {C}ontrol {H}andbook},
	Edition = {2nd},
	Editor = {W. S. Levine},
	Mainsubtitle = {{C}ontrol {S}ystem {A}davanced {M}ethods},
	Pages = {26-1--26-24},
	Publisher = {{CRC} {P}ress},
	Title = {{D}ecentralized {C}ontrol},
	Year = {2011}}

@inproceedings{Rodgers1985,
	Acmid = {327215},
	Address = {Los Alamitos, CA, USA},
	Author = {D. P. Rodgers},
	Booktitle = {Proceedings of the 12th {A}nnual {I}nternational {S}ymposium on {C}omputer {A}rchitecture},
	Doi = {10.1145/327070.327215},
	Location = {Boston, Massachusetts, USA},
	Numpages = {7},
	Pages = {225-231},
	Series = {ISCA '85},
	Title = {Improvements in {M}ultiprocessor {S}ystem {D}esign},
	Year = {1985},
	Bdsk-Url-1 = {https://doi.org/10.1145/327070.327215}}

@article{BoydParikhChuEtAl2010,
	Author = {S. Boyd and N. Parikh and E. Chu and B. Peleato and J. Eckstein},
	Doi = {10.1561/2200000016},
	Journal = {Foundations and {T}rends in {M}achine {L}earning},
	Journaltitle = {Foundations and {T}rends in {M}achine {L}earning},
	Number = {1},
	Pages = {1-122},
	Title = {Distributed {O}ptimization and {S}tatistical {L}earning via the {A}lternating {D}irection {M}ethod of {M}ultipliers},
	Volume = {3},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1561/2200000016}}

@article{MeissenLessardArcakEtAl2015,
	Author = {C. Meissen and L. Lessard and M. Arcak and A. K. Packard},
	Doi = {10.1016/j.automatica.2015.07.027},
	Journal = {Automatica},
	Month = {nov},
	Pages = {55--63},
	Title = {Compositional performance certification of interconnected systems using {ADMM}},
	Volume = {61},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2015.07.027}}

@inproceedings{WuLiUgrinovskiiEtAl2015,
	Archiveprefix = {arXiv},
	Author = {J. Wu and L. Li and V. Ugrinovskii and F. Allgower},
	Booktitle = {2015 {IEEE} Conference on Control Applications ({CCA})},
	Doi = {10.1109/cca.2015.7320803},
	Eprint = {1509.05967},
	Month = {sep},
	Title = {Distributed {F}ilter {D}esign for {C}ooperative {H}$_{\infty}$-type {E}stimation},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1109/cca.2015.7320803}}

@article{MazoAntaTabuada2010,
	Author = {M. Mazo and A. Anta and P. Tabuada},
	Doi = {10.1016/j.automatica.2010.05.009},
	Journal = {Automatica},
	Month = {aug},
	Number = {8},
	Pages = {1310-1314},
	Title = {An {ISS} {S}elf-triggered {I}mplementation of {L}inear {C}ontrollers},
	Volume = {46},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2010.05.009}}

@article{MarchandMartinezDurandEtAl2013,
	Author = {N. Marchand and {J. J.} Martinez and S. Durand and {J. F.} Guerrero-Castellanos},
	Doi = {10.3182/20130904-3-fr-2041.00129},
	Journal = {Proceedings of the 9th {IFAC} {S}ymposium on {N}onlinear {C}ontrol {S}ystems ({NOLCOS}'13)},
	Number = {23},
	Pages = {324-328},
	Title = {Lyapunov {E}vent-triggered {C}ontrol: {A} {N}ew {E}vent {S}trategy {B}ased on the {C}ontrol},
	Volume = {46},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.3182/20130904-3-fr-2041.00129}}

@article{MazoTabuada2011,
	Author = {M. Mazo and P. Tabuada},
	Doi = {10.1109/tac.2011.2164036},
	Journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	Month = {oct},
	Number = {10},
	Pages = {2456-2461},
	Title = {Decentralized {E}vent-triggered {C}ontrol {O}ver {W}ireless {S}ensor/{A}ctuator {N}etworks},
	Volume = {56},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/tac.2011.2164036}}

@thesis{Parrilo2000,
	Author = {P. A. Parrilo},
	Institution = {California {I}nstitute of {T}echnology},
	Title = {Structured {S}emidefinite {P}rograms and {S}emialgebraic {G}eometry {M}ethods in {R}obustness and {O}ptimization},
	Type = {Ph.D. Thesis},
	Year = {2000}}

@inproceedings{AstroemBernhardsson2002,
	Author = {K. J. \r{A}str\"{o}m and B. M. Bernhardsson},
	Booktitle = {Proceedings of the 41st {IEEE} {C}onference on {D}ecision and {C}ontrol},
	Doi = {10.1109/cdc.2002.1184824},
	Pages = {2011-2016},
	Title = {Comparison of {R}iemann and {L}ebesgue sampling for first order stochastic systems},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1109/cdc.2002.1184824}}

@inproceedings{Arzen1999,
	Author = {K.-E. \r{A}rz\'{e}n},
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HSteinShiromoto.bib

%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/

%% Created for Humberto Stein Shiromoto at 2021-10-17 13:09:18 +1100 


%% Saved with string encoding Unicode (UTF-8) 



@software{github:ssm18,
	author = {\textbf{H. {Stein Shiromoto}}},
	date-added = {2021-10-17 10:47:06 +1100},
	date-modified = {2021-10-17 13:08:52 +1100},
	doi = {10.5281/zenodo.3744132},
	month = {4},
	title = {{Algorithms used in the paper Distributed Nonlinear Control Design using Separable Control Contraction Metrics}},
	version = {v2.0},
	year = {2020},
	Bdsk-Url-1 = {https://doi.org/10.5281/zenodo.3744132}}

@software{github:datatoolkit,
	author = {\textbf{H. {Stein Shiromoto}}},
	date-added = {2021-10-14 10:32:13 +1100},
	date-modified = {2021-10-17 13:08:41 +1100},
	doi = {10.5281/zenodo.5563181},
	month = {10},
	title = {{A collection of tools for visualization and data processing for exploratory data analysis}},
	version = {0.0.5},
	year = {2021},
	Bdsk-Url-1 = {https://doi.org/10.5281/zenodo.5563181}}

@software{github:cartorio,
	author = {\textbf{H. {Stein Shiromoto}}},
	date-added = {2021-10-14 10:31:11 +1100},
	date-modified = {2021-10-17 13:08:59 +1100},
	doi = {10.5281/zenodo.5563176},
	month = {10},
	title = {{Cartorio: A library for logging}},
	version = {2.0.2},
	year = {2021},
	Bdsk-Url-1 = {https://doi.org/10.5281/zenodo.5563176}}

@software{github:ssm16,
	author = {\textbf{H. {Stein Shiromoto}}},
	date-added = {2021-10-14 10:30:23 +1100},
	date-modified = {2021-10-17 13:08:47 +1100},
	doi = {10.5281/zenodo.3744126},
	month = {4},
	title = {{Algorithms used in the paper Decentralized Nonlinear Feedback Design with Separable Control Contraction Metrics}},
	version = {1.0},
	year = {2020},
	Bdsk-Url-1 = {https://doi.org/10.5281/zenodo.3744127}}

@article{Benachour2014,
	archiveprefix = {arXiv},
	author = {S. Benachour and \textbf{H. {Stein Shiromoto}} and V. Andrieu},
	date-added = {2014-04-16 13:01:00 +0000},
	date-modified = {2014-07-23 20:03:01 +0000},
	doi = {10.1016/j.automatica.2014.10.019},
	eprint = {1502.03415},
	eprintclass = {cs.SY, math.OC},
	journal = {Automatica},
	number = {11},
	pages = {2918-2923},
	title = {Locally optimal controllers and globally inverse optimal controllers},
	volume = {50},
	year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2014.10.019}}

@phdthesis{SteinShiromoto:2014,
	author = {\textbf{H. {Stein Shiromoto}}},
	keywords = {other},
	owner = {humbertoshiromoto},
	school = {Universit\'{e} Grenoble Alpes},
	timestamp = {2014.10.21},
	title = {Stabilisation Sous Contraintes Locales et Globales},
	year = {2014}}

@article{SteinShiromoto2015,
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and V. Andrieu and C. Prieur},
	date-added = {2013-08-21 12:34:21 +0000},
	date-modified = {2014-11-25 18:20:32 +0000},
	doi = {10.1016/j.automatica.2014.12.017},
	eprint = {1502.02851},
	eprintclass = {math.DS, cs.SY, math.OC},
	journal = {Automatica},
	pages = {309-316},
	title = {A Region-Dependent Gain Condition for Asymptotic Stability},
	volume = {52},
	year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2014.12.017}}

@inproceedings{SteinShiromoto2013,
	address = {Florence, Italy},
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and V. Andrieu and C. Prieur},
	booktitle = {Proceedings of the 52nd {IEEE} Conference on Decision and Control (CDC)},
	date-added = {2013-07-22 12:48:31 +0000},
	date-modified = {2014-04-04 10:34:27 +0000},
	doi = {10.1109/CDC.2013.6759951},
	eprint = {1503.02884},
	pages = {624-629},
	title = {Interconnecting a System Having a Single Input-to-State Gain With a System Having a Region-Dependent Input-to-State Gain},
	year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2013.6759951}}

@article{SteinShiromoto2013a,
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and V. Andrieu and C. Prieur},
	date-added = {2012-10-13 16:32:32 +0000},
	date-modified = {2014-01-02 16:57:22 +0000},
	doi = {10.1109/TAC.2013.2263613},
	eprint = {1502.03461},
	eprintclass = {math.OC, cs.SY},
	journal = {{IEEE} {T}rans. {A}utom. {C}ontrol},
	number = {12},
	pages = {3236-3241},
	title = {Relaxed and hybridized backstepping},
	volume = {58},
	year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1109/TAC.2013.2263613}}

@article{SteinShiromoto2019,
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and M. Revay and I. R. Manchester},
	doi = {10.1109/TCNS.2018.2885270},
	eprint = {1810.04794},
	eprintclass = {cs.SY, math.OC},
	journal = {{IEEE} {T}rans. {C}ontrol {N}et. {S}yst},
	month = dec,
	number = {4},
	pages = {1281-1290},
	title = {Distributed Nonlinear Control Design using Separable Control Contraction Metrics},
	volume = {6},
	year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1109/TCNS.2018.2885270}}

@inproceedings{SteinShiromotoAndrieuPrieur2012:CIFA,
	address = {Grenoble, France},
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and V. Andrieu and C. Prieur},
	booktitle = {Proceedings of the 7th Conf\'erence {Internationale Francophone d'Automatique} (CIFA)},
	date-added = {2012-10-13 16:37:46 +0000},
	date-modified = {2014-04-04 10:34:06 +0000},
	eprint = {1503.03900},
	hal_id = {hal-00927101},
	hal_version = {v1},
	pages = {371-375},
	title = {Union d'une commande par backstepping avec une commande locale},
	year = {2012}}

@inproceedings{SteinShiromotoAndrieuPrieur2011,
	abstract = {We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied systems for which the backstepping tool for the design of stabilizers can not be applied. On the contrary, it leads to feedback laws such that the origin of the closed-loop system is not globally asymptotically stable, but a suitable attractor (strictly containing the origin) is practically asymptotically stable. Then, a design method is suggested to build a hybrid feedback law combining a backstepping controller with a locally stabilizing controller. The results are illustrated for a nonlinear system which, due to the structure of the system, does not have a priori any globally stabilizing backstepping controller.},
	address = {San Francisco, CA, United States of America},
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and V. Andrieu and C. Prieur},
	booktitle = {Proceedings of the American Control Conference (ACC)},
	date-added = {2012-09-14 15:30:05 +0000},
	date-modified = {2014-04-04 10:33:58 +0000},
	doi = {10.1109/ACC.2011.5991251},
	eprint = {1503.02892},
	pages = {3197-3202},
	read = {0},
	title = {Combining a backstepping controller with a local stabilizer},
	year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1109/ACC.2011.5991251}}

@electronic{SteinShiromoto:2015a,
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and P. Feketa and S. Dashkovskiy},
	eprint = {1508.06018},
	keywords = {other},
	timestamp = {2015.03.10},
	title = {A Combination of Small-gain and Density Propagation Inequalities for the Stability Analysis of Networked Systems},
	year = {2015}}

@inproceedings{TejadaRuiz:2015,
	address = {Seattle, WA, United States of America},
	archiveprefix = {arXiv},
	author = {A. {Tejada} and K. Horvath and \textbf{H. {Stein Shiromoto}} and H. Bosman},
	booktitle = {Proceedings of the 1st ACM International Workshop on Cyber-Physical Systems for Smart Water Networks (CySWater'15)},
	date-added = {2015-02-02 20:15:46 +0000},
	date-modified = {2015-02-02 20:21:38 +0000},
	doi = {10.1145/2738935.2738945},
	eprint = {1503.00993},
	title = {Towards WaterLab: A Test Facility for New Cyber-Physical Technologies in Water Distribution Networks},
	year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1145/2738935.2738945}}

@inproceedings{SteinShiromotoManchester2016,
	address = {Las Vegas, NV, USA},
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and I. R. Manchester},
	booktitle = {Proceedings of the 55th {C}onference on {D}ecision and {C}ontrol ({CDC})},
	doi = {10.1109/CDC.2016.7799122},
	eprint = {1609.07237},
	eprintclass = {math.OC},
	month = {Dec},
	pages = {5551-5556},
	title = {Decentralized Nonlinear Feedback Design with Separable Control Contraction Metrics},
	year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1109/CDC.2016.7799122}}

@book{SteinShiromoto2017,
	author = {\textbf{H. {Stein Shiromoto}}},
	doi = {10.1007/978-3-319-52012-4},
	publisher = {Springer},
	title = {Design and Analysis of Control Systems},
	year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-52012-4}}

@electronic{SteinShiromotoFeketaDashkovskiy2016,
	archiveprefix = {arXiv},
	author = {\textbf{H. {Stein Shiromoto}} and P. Feketa and S. Dashkovskiy},
	eprint = {1606.02360},
	keywords = {other},
	title = {{E}xample {D}emonstrating the {A}pplication of {S}mall-gain and {D}ensity {P}ropagation {C}onditions for {I}nterconnections},
	year = {2016}}

@article{Feketa2017,
	archiveprefix = {arXiv},
	author = {P. Feketa and \textbf{H. {Stein Shiromoto}} and S. Dashkovskiy},
	doi = {10.1016/j.automatica.2017.02.016},
	eprint = {1610.02323},
	eprintclass = {math.DS, cs.SY},
	journal = {Automatica},
	month = {may},
	pages = {231-234},
	title = {Almost {ISS} property for feedback connected systems},
	volume = {79},
	year = {2017},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.automatica.2017.02.016}}

@www{TejadaHorvathShiromotoEtAl2015,
	author = {A. Tejada and K. Horvath and \textbf{H. {Stein Shiromoto}} and H. Bosman},
	keywords = {other},
	title = {Demonstration of the Wireless Sensor Network in Action},
	url = {goo.gl/IWvtW4},
	year = {2015},
	Bdsk-Url-1 = {goo.gl/IWvtW4}}