Control Lyapunov functions and stabilizability of compact sets for hybrid systems

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6161528 ◽

2011 ◽

Author(s):

Ricardo G. Sanfelice

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions ◽

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Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.919257 ◽

2008 ◽

Vol 53 (3) ◽

pp. 734-748 ◽

Author(s):

Chaohong Cai ◽

R. Goebel

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions ◽

Asymptotically Stable ◽

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Learning Lyapunov Functions for Hybrid Systems

2021 55th Annual Conference on Information Sciences and Systems (CISS) ◽

10.1109/ciss50987.2021.9400289 ◽

2021 ◽

Author(s):

Shaoru Chen ◽

Mahyar Fazlyab ◽

Manfred Morari ◽

George J. Pappas ◽

Victor M. Preciado

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions

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Results on existence of smooth Lyapunov functions for (pre-)asymptotically stable hybrid systems with non-open basins of attraction

2007 American Control Conference ◽

10.1109/acc.2007.4282563 ◽

2007 ◽

Author(s):

Chaohong Cai ◽

Andrew R. Teel ◽

Rafal Goebel

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions ◽

Basins Of Attraction ◽

Asymptotically Stable ◽

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Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness

IEEE Transactions on Automatic Control ◽

10.1109/tac.2007.900829 ◽

2007 ◽

Vol 52 (7) ◽

pp. 1264-1277 ◽

Author(s):

Chaohong Cai ◽

Andrew R. Teel ◽

Rafal Goebel

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions

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On the Continuity of Asymptotically Stable Compact Sets for Simulations of Hybrid Systems

Proceedings of the 45th IEEE Conference on Decision and Control ◽

10.1109/cdc.2006.377647 ◽

2006 ◽

Author(s):

Ricardo G. Sanfelice ◽

Andrew R. Teel

Keyword(s):

Hybrid Systems ◽

Asymptotically Stable ◽

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Computation of piecewise quadratic Lyapunov functions for hybrid systems

IEEE Transactions on Automatic Control ◽

10.1109/9.664157 ◽

1998 ◽

Vol 43 (4) ◽

pp. 555-559 ◽

Author(s):

M. Johansson ◽

A. Rantzer

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions ◽

Quadratic Lyapunov Functions

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Computation of piecewise quadratic Lyapunov functions for hybrid systems

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082399 ◽

1997 ◽

Author(s):

Mikael Johansson ◽

Anders Rantzer

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions ◽

Quadratic Lyapunov Functions

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Decompositional Construction of Lyapunov Functions for Hybrid Systems

Hybrid Systems: Computation and Control - Lecture Notes in Computer Science ◽

10.1007/978-3-642-00602-9_20 ◽

2009 ◽

pp. 276-290 ◽

Author(s):

Jens Oehlerking ◽

Oliver Theel

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions

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Construction of Lyapunov functions by the method of localization of invariant compact sets

Differential Equations ◽

10.1134/s0012266117110039 ◽

2017 ◽

Vol 53 (11) ◽

pp. 1413-1418 ◽

Author(s):

A. P. Krishchenko

Keyword(s):

Lyapunov Functions ◽

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Discovering Multiple Lyapunov Functions for Switched Hybrid Systems

SIAM Journal on Control and Optimization ◽

10.1137/130934313 ◽

2014 ◽

Vol 52 (5) ◽

pp. 3312-3340 ◽

Author(s):

Zhikun She ◽

Bai Xue

Keyword(s):

Hybrid Systems ◽

Lyapunov Functions ◽

Multiple Lyapunov Functions

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