Strict Lyapunov functions for impulsive hybrid time-varying systems with discontinuous right-hand side

被引：1

作者：

Mu, Xiaowu ^{[1
]}

Tang, Fengjun ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2011年 / 24卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Filippov solution; impulsive hybrid systems; strict Lyapunov functions; STABILITY; STABILIZATION;

D O I：

10.1007/s11424-011-7237-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, explicit closed form expressions of nonsmooth strict Lyapunov functions for impulsive hybrid time-varying systems with discontinuous right-hand side is provided. Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persistency of excitation parameters.

引用

页码：261 / 270

页数：10

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