A new comparison principle for impulsive differential systems with variable impulsive perturbations and stability theory

被引：17

作者：

Wang, Lin ^{[1
]}

Fu, Xilin ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 05期

基金：

中国国家自然科学基金;

关键词：

impulsive differential systems; Lyapunov function; stability; comparison principle; variable impulsive perturbations;

D O I：

10.1016/j.camwa.2006.09.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the stability properties in terms of two measures for impulsive differential systems with variable impulses are investigated. A new comparison principlem which allows trajectories strike the same hypersurface finite times, is established, and then be applied to obtain a stability criterion. Finally, one example is worked out to show the advantage of our results. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：730 / 736

页数：7

共 15 条

[1]

Bainov D.D., 1998, COMMUN APPL NONLINEA, V5, P69

[2]

Fu X. L., 2000, NONLINEAR STUDIES, V1, P1

[3] General comparison principle for impulsive variable time differential equations with application [J].

Fu, XL ;

Qi, JG ;

Liu, YS .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) :1421-1429

[4] Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations [J].

Fu, XL ;

Liu, XZ .

APPLIED MATHEMATICS AND COMPUTATION, 1999, 102 (2-3) :237-255

[5] EXTREMAL SOLUTIONS, COMPARISON PRINCIPLE AND STABILITY-CRITERIA FOR IMPULSIVE DIFFERENTIAL-EQUATIONS WITH VARIABLE TIMES [J].

KAUL, S ;

LAKSHMIKANTHAM, V ;

LEELA, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (10) :1263-1270

[6]

KAULS, 1997, NONLINEAR ANAL, V30, P2695

[7] COMPARISON PRINCIPLE FOR IMPULSIVE DIFFERENTIAL-EQUATIONS WITH VARIABLE TIMES AND STABILITY THEORY [J].

LAKSHMIKANTHAM, V ;

LEELA, S ;

KAUL, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (04) :499-503

[8]

Lakshmikantham V., 1993, STABILITY ANAL TERMS

[9]

LAKSHMIKANTHAM X, 1969, DIFFERENTIAL INTEGRA

[10]

LAKSHMIKANTHAM X, 1989, THEORY IMPULSIVE DIF

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