Stability analysis of hybrid systems via small-gain theorems

Daniel Liberzon; Dragan Nešić

doi:10.1007/11730637_32

Stability analysis of hybrid systems via small-gain theorems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present a general approach to analyzing stability of hybrid systems, based on input-to-state stability (ISS) and small-gain theorems. We demonstrate that the ISS small-gain analysis framework is very naturally applicable in the context of hybrid systems. Novel Lyapunov-based and LaSalle-based small-gain theorems for hybrid systems are presented. The reader does not need to be familiar with ISS or small-gain theorems to be able to follow the paper.

Original language	English (US)
Title of host publication	Hybrid Systems
Subtitle of host publication	Computation and Control - 9th International Workshop, HSCC 2006, Proceedings
Pages	421-435
Number of pages	15
DOIs	https://doi.org/10.1007/11730637_32
State	Published - 2006
Event	9th International Workshop on Hybrid Systems: Computation and Control, HSCC 2006 - Santa Barbara, CA, United States Duration: Mar 29 2006 → Mar 31 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3927 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	9th International Workshop on Hybrid Systems: Computation and Control, HSCC 2006
Country/Territory	United States
City	Santa Barbara, CA
Period	3/29/06 → 3/31/06

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Online availability

10.1007/11730637_32

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Liberzon, D., & Nešić, D. (2006). Stability analysis of hybrid systems via small-gain theorems. In Hybrid Systems: Computation and Control - 9th International Workshop, HSCC 2006, Proceedings (pp. 421-435). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3927 LNCS). https://doi.org/10.1007/11730637_32

Stability analysis of hybrid systems via small-gain theorems. / Liberzon, Daniel; Nešić, Dragan.
Hybrid Systems: Computation and Control - 9th International Workshop, HSCC 2006, Proceedings. 2006. p. 421-435 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3927 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Liberzon, D & Nešić, D 2006, Stability analysis of hybrid systems via small-gain theorems. in Hybrid Systems: Computation and Control - 9th International Workshop, HSCC 2006, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3927 LNCS, pp. 421-435, 9th International Workshop on Hybrid Systems: Computation and Control, HSCC 2006, Santa Barbara, CA, United States, 3/29/06. https://doi.org/10.1007/11730637_32

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Stability analysis of hybrid systems via small-gain theorems

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