Exponential stability of switched systems with delay: A multiple lyapunov function approach

被引：0
|
作者：
Cong, Shen [1 ]
Fei, Shu-Min [2 ]
Li, Tao [2 ]
机构：
[1] Automation School, Nanjing University of Science and Technology, Nanjing 210094, China
[2] Research Institute of Automation, Southeast University, Nanjing 210096, China
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2007年 / 33卷 / 09期
关键词：
Asymptotic stability - Switching - Time delay;
D O I：
10.1360/aas-007-0985
中图分类号：
学科分类号：
摘要：
The switched system consisting of a family of subsystems with delay is considered. In the time-delay situation, the multiple Lyapunov function approach is generalized to investigate the effect of switching and state-delay on stability. Using the Halanay inequality, the delay-dependent constraint condition on switching sequence is derived to guarantee the exponential stability. In the situation without time delay, the correspondent analysis result of switching effect on stability is a special case of our conclusions. Numerical examples are given to demonstrate the proposed approach.
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页码：985 / 988
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