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

Research output: Contribution to journal › Article › Research › 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
Externally published	Yes

Keywords

Passivity
Stability
Storage functions
Switched systems

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10.1016/j.sysconle.2007.08.011

Cite this

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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.}",

note = "Funding Information: This work was supported by The Australian Research Council Federation Fellowship and Centres of Excellence Schemes and NSF of China under Grant No. 60574013. Part of the work was supported by the Research Grants Council of Hong Kong when the authors were at City University of Hong Kong. ",

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T1 - Passivity and stability of switched systems

T2 - A multiple storage function method

AU - Zhao, Jun

AU - Hill, David J.

N1 - Funding Information: This work was supported by The Australian Research Council Federation Fellowship and Centres of Excellence Schemes and NSF of China under Grant No. 60574013. Part of the work was supported by the Research Grants Council of Hong Kong when the authors were at City University of Hong Kong.

PY - 2008/2

Y1 - 2008/2

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=37048999945&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2007.08.011

DO - 10.1016/j.sysconle.2007.08.011

M3 - Article

AN - SCOPUS:37048999945

SN - 0167-6911

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

Keywords

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