On Common Quadratic Lyapunov Functions for Dynamic Normal Switched Systems

被引：0
|
作者：
Eisenbarth, Geoffrey [1 ]
Davis, John M. [1 ]
Gravagne, Ian [2 ]
机构：
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Baylor Univ, Dept Elect & Comp Engn, Waco, TX 76798 USA
来源：
45TH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY | 2013年
关键词：
normal matrix; time scales; common Lyapunov functions; linear switched systems; EXPONENTIAL STABILITY; LTI SYSTEMS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate when the Euclidean norm is a quadratic Lyapunov function for linear dynamic equations, and use this result to determine the existence of a stabilizing switching pattern for switched systems comprised of normal subsystem matrices. We then expand these results to establish sufficient conditions for the existence of common quadratic Lyapunov functions other than the Euclidean norm for switched systems comprised of normal matrices.
引用
收藏
页码：108 / 113
页数：6
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