A note on multiple Lyapunov functions and stability condition for switched and hybrid systems

被引：0
|
作者：
Zhai, Guisheng [1 ]
Matsune, Isatada [1 ]
Imae, Joe [1 ]
Kobayashi, Tomoaki [1 ]
机构：
[1] Osaka Prefecture Univ, Dept Mech Engn, Osaka 5998531, Japan
来源：
PROCEEDINGS OF THE 2007 IEEE CONFERENCE ON CONTROL APPLICATIONS, VOLS 1-3 | 2007年
关键词：
switched and hybrid systems; multiple Lyapunov functions; Lyapunov stability; switching strategy; average value of multiple Lyapunov functions; nonholonomic 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 note, we consider stability condition with multiple Lyapunov functions for switched and hybrid systems. By using the idea of evaluating "the average value of multiple Lyapunov functions" during the activation period of each subsystem, we propose a new Lyapunov stability condition, which complements the existing stability conditions that evaluate the value of multiple Lyapunov functions at the starting points or the end points. We present several demonstrative examples, including the case where unstable subsystems are involved, and also apply the stability condition and the switching strategy to the switching control problem for stabilization of nonholonomic systems.
引用
收藏
页码：254 / 259
页数：6
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