Converse Lyapunov theorem for switched stability of switched linear systems

被引：0
作者：
Sun Zhendong [1 ]
机构：
[1] S China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510641, Peoples R China
来源：
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2 | 2007年
关键词：
Switched Linear Systems; switched stability; Lyapunov function;
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 work, we prove that any switched asymptotically stable switched linear system admits a Lyapunov function that strictly decreases among at least one non-trivial state trajectory of the switched system. A stabilizing switching law is proposed based on the Lyapunov function.
引用
收藏
页码：678 / 680
页数：3
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