Stability of a class of linear switching systems with time delay

被引：230
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
收藏
页码：384 / 393
页数：10
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