Delay independent stability of linear switching systems with time delay

被引：40

作者：

Kim, Sehjeong ^{[2
]}

Campbell, Sue Ann ^{[1
]}

Liu, Xinzhi ^{[1
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[2] Australian Natl Univ, Res Sch Informat Sci & Engn, Dept Informat Engn, Canberra, ACT 0200, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 02期

关键词：

switching systems; Lyapunov functional; delay differential equations;

D O I：

10.1016/j.jmaa.2007.06.075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a switching system with time delay composed of a finite number of linear delay differential equations (DDEs). Each DDE consists of a sum of a linear ODE part and a linear DDE part. We study two particular cases: (a) all the ODE parts are stable and (b) all the ODE parts are unstable and determine conditions for delay independent stability. For case (a), we extend a standard result of linear DDEs via the multiple Lyapunov function and functional methods. For case (b) the standard DDE result is not directly applicable, however, we are able to obtain uniform asymptotic stability using the single Lyapunov function and functional methods. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：785 / 801

页数：17

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