Stability Results for Switched Linear Systems with Constant Discrete Delays

被引：45

作者：

de la Sen, M. ^{[1
]}

Ibeas, A. ^{[2
]}

机构：

[1] Univ Basque Country, Dept Elect & Elect, Fac Sci & Technol, Bilbao 48080, Spain

[2] Autonomous Univ Barcelona, Dept Telecommun & Syst Engn, Sch Engn, E-08193 Barcelona, Spain

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2008年 / 2008卷

关键词：

D O I：

10.1155/2008/543145

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper investigates the stability properties of switched systems possessing several parameterizations (or configurations) while being subject to internal constant point delays. Some of the stability results are formulated based on Gronwall's lemma for global exponential stability, and they are either dependent on or independent of the delay size but they depend on the switching law through the requirement of a minimum residence time. Another set of results concerned with the weaker property of global asymptotic stability is also obtained as being independent of the switching law, but still either dependent on or independent of the delay size, since they are based on the existence of a common Krasovsky-Lyapunov functional for all the above-mentioned configurations. Extensions to a class of polytopic systems and to a class of regular time-varying systems are also discussed. Copyright (C) 2008 M. de la Sen and A. Ibeas.

引用

页数：28

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