On stability of discontinuous systems via vector Lyapunov functions

被引：0

作者：

慕小武

程桂芳

丁志帅

机构：

[1] Zhengzhou 450052

[2] P.R.China

[3] Department of Mathematics Zhengzhou University

来源：

Applied Mathematics and Mechanics(English Edition) | 2007年 / 12期

关键词：

Filippov solutions; comparison principles; stability; vector Lyapunov functions; discontinuous systems;

D O I：

暂无

中图分类号：

O231.2 [非线性控制系统];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

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 discontinu- ous systems based on locally Lipschitz continuous and regular vector Lyapunov functions.

引用

页码：1613 / 1619

页数：7