Passivity and stability of switched systems: A multiple storage function method

Jun Zhao; David J. Hill

doi:10.1016/j.sysconle.2007.08.011

Passivity and stability of switched systems: A multiple storage function method

Jun Zhao^*, David J. Hill

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

183 Citations (Scopus)

Abstract

This paper presents a concept of passivity for switched systems using multiple storage functions. This passivity property is invariant under compatible feedback interconnection. Branicky's stability theorem of multiple Lyapunov functions is generalized by relaxing the non-increasing condition on values of Lyapunov-like functions. Using this result we show that a passive switched system is stable in the sense of Lyapunov. Moreover, asymptotic stability is reached if all subsystems are asymptotically detectable.

Original language	English
Pages (from-to)	158-164
Number of pages	7
Journal	Systems and Control Letters
Volume	57
Issue number	2
DOIs	https://doi.org/10.1016/j.sysconle.2007.08.011
Publication status	Published - Feb 2008

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title = "Passivity and stability of switched systems: A multiple storage function method",

abstract = "This paper presents a concept of passivity for switched systems using multiple storage functions. This passivity property is invariant under compatible feedback interconnection. Branicky's stability theorem of multiple Lyapunov functions is generalized by relaxing the non-increasing condition on values of Lyapunov-like functions. Using this result we show that a passive switched system is stable in the sense of Lyapunov. Moreover, asymptotic stability is reached if all subsystems are asymptotically detectable.",

keywords = "Passivity, Stability, Storage functions, Switched systems",

author = "Jun Zhao and Hill, {David J.}",

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AU - Hill, David J.

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AB - This paper presents a concept of passivity for switched systems using multiple storage functions. This passivity property is invariant under compatible feedback interconnection. Branicky's stability theorem of multiple Lyapunov functions is generalized by relaxing the non-increasing condition on values of Lyapunov-like functions. Using this result we show that a passive switched system is stable in the sense of Lyapunov. Moreover, asymptotic stability is reached if all subsystems are asymptotically detectable.

KW - Passivity

KW - Stability

KW - Storage functions

KW - Switched systems

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U2 - 10.1016/j.sysconle.2007.08.011

DO - 10.1016/j.sysconle.2007.08.011

M3 - Article

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VL - 57

SP - 158

EP - 164

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Passivity and stability of switched systems: A multiple storage function method

Abstract

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