Delay-dependent stability criterion of switched systems with time-delay

被引:0
|
作者
Cong, Shen [1 ]
Fei, Shu-Min [2 ]
Li, Tao [2 ]
机构
[1] Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
[2] Research Institute of Automation, Southeast University, Nanjing 210096, China
来源
Kongzhi yu Juece/Control and Decision | 2007年 / 22卷 / 09期
关键词
Asymptotic stability - Linear matrix inequalities - Switching systems;
D O I
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中图分类号
学科分类号
摘要
The switched dynamical system consisting of linear subsystems with time-delay is considered. The condition for guaranteeing exponential stability of the system under arbitrary switching sequence is investigated. Based on a less conservative construction of Lyapunov-Krasovskii functional and some analytic techniques, the delay-dependent criterion is established in terms of linear matrix inequalities. Furthermore, it is strictly verified that the exponential decay rate holds uniformly for all switching sequences, and is definitely determined by the characteristics of subsystems. A numerical example demonstrates the effectiveness of the proposed method.
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页码:1049 / 1052
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