Stability of a class of linear switching systems with time delay

被引：224

作者：

Kim, S ^{[1
]}

Campbell, SA ^{[1
]}

Liu, XZ ^{[1
]}

机构：

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

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2006年 / 53卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

delay differential equations (DDEs); Lyapunov functional; switching systems;

D O I：

10.1109/TCSI.2005.856666

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We consider a switching system composed of a finite number of linear delay differential equations (DDEs). It has been shown that the stability of a switching system composed of a finite number of linear ordinary differential equations (ODEs) may be achieved by using a common Lyapunov function method switching rule. We modify this switching rule for ODE systems to a common Lyapunov functional method switching rule for DDE systems and show that it stabilizes our model. Our result uses a Riccati-type Lyapunov functional under a condition on the time delay.

引用

页码：384 / 393

页数：10

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