On stability of discontinuous systems via vector Lyapunov functions

被引：0
作者：
Xiao-wu Mu
Gui-fang Cheng
Zhi-shuai Ding
机构：
[1] Zhengzhou University,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2007年 / 28卷
关键词：
Filippov solutions; comparison principles; stability; vector Lyapunov functions; discontinuous systems; O231.2; 95D05; 93D20;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper deals with the stability of systems with discontinuous right-hand side (with solutions in Filippov’s sense) via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valued derivative” of vector Lyapunov functions is introduced, some generalized comparison principles on discontinuous systems are shown. Furthermore, Lyapunov stability theory is developed for a class of discontinuous systems based on locally Lipschitz continuous and regular vector Lyapunov functions.
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页码：1613 / 1619
页数：6
相关论文
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