Stability and L2-gain analysis for switched delay systems: A delay-dependent method

Xi Ming Sun; Jun Zhao; David J. Hill

doi:10.1016/j.automatica.2006.05.007

Stability and L₂-gain analysis for switched delay systems: A delay-dependent method

Xi Ming Sun, Jun Zhao^*, David J. Hill

^*Corresponding author for this work

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

795 Citations (Scopus)

Abstract

In this paper, we study stability and L₂-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L₂-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L₂-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

Original language	English
Pages (from-to)	1769-1774
Number of pages	6
Journal	Automatica
Volume	42
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2006.05.007
Publication status	Published - Oct 2006

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title = "Stability and L2-gain analysis for switched delay systems: A delay-dependent method",

abstract = "In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.",

keywords = "Delay-dependent, Exponential stability, L-gain, Switched delay systems",

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

year = "2006",

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T1 - Stability and L2-gain analysis for switched delay systems

T2 - A delay-dependent method

AU - Sun, Xi Ming

AU - Zhao, Jun

AU - Hill, David J.

PY - 2006/10

Y1 - 2006/10

N2 - In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

AB - In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

KW - Delay-dependent

KW - Exponential stability

KW - L-gain

KW - Switched delay systems

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DO - 10.1016/j.automatica.2006.05.007

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SP - 1769

EP - 1774

JO - Automatica

JF - Automatica

IS - 10

ER -

Stability and L₂-gain analysis for switched delay systems: A delay-dependent method

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