Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems

被引：39
|
作者：
Hu, B
Zhai, GS
Michel, AN
机构：
[1] WAkayama Univ, Fac Syst Engn, Wakayama 6408510, Japan
[2] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2002年 / 75卷 / 14期
关键词：
D O I：
10.1080/00207170210162096
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 establish quadratic Lyapunov-like functions for qualitative analysis of switched systems. Specifically, for a class of switched systems consisting of two unstable second-order LTI (linear time-invariant) subsystems, we explore in detail some necessary and sufficient conditions for the existence of common (weakly) quadratic Lyapunov-like functions with associated switching regions in R-2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.
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收藏
页码：1127 / 1135
页数：9
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