Finite-time stability with respect to a closed invariant set for a class of discontinuous systems  

作　　者：程桂芳 慕小武 

机构地区：[1]Department of Mathematics, Zhengzhou University [2]Physical Engineering College, Zhengzhou University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第8期1069-1075,共7页应用数学和力学（英文版）

基　　金：supported by the Mathematical Tianyuan Foundation (No. 10826078);the National Natural Science Foundation of China (No. 60874006)

摘　　要：This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of nonlinear systems with discontinuous right-hand sides in the sense of the Filippov solutions. When the Lyapunov function is Lipschitz continuous and regular, the Lyapunov theorem on finite-time stability with respect to a closed invariant set is presented.This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of nonlinear systems with discontinuous right-hand sides in the sense of the Filippov solutions. When the Lyapunov function is Lipschitz continuous and regular, the Lyapunov theorem on finite-time stability with respect to a closed invariant set is presented.

关 键 词：Filippov solution closed invariant set finite-time stability discontinuous system 

分 类 号：O231[理学—运筹学与控制论]