Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions

被引：10

作者：

Song, Xinyu ^{[2
]}

Li, An ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 24期

基金：

中国国家自然科学基金;

关键词：

Nonlinear impulsive system; Asymptotical stability; Practical stability; Comparison principle; Perturbing Lyapunov functions; DIFFERENTIAL-EQUATIONS; PRACTICAL STABILITY; SPACES;

D O I：

10.1016/j.amc.2011.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops a new comparison principle for nonlinear impulsive differential systems, then the stability, practical stability and boundedness of impulsive differential systems are proved by using the method of perturbing Lyapunov functions. The notion of perturbing Lyapunov functions enables us to discuss stability properties of impulsive systems under much weaker assumptions. The reported novel results complement the existing results. It may provide a greater prospect for solving problems which exhibit impulsive effects. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：10166 / 10174

页数：9

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