A new approach to stability of impulsive functional differential equations

被引：30

作者：

Xing, YP ^{[1
]}

Han, MA ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 151卷 / 03期

基金：

中国国家自然科学基金;

关键词：

impulsive functional differential equations; uniform stability; uniform asymptotic stability; Liapunov functions;

D O I：

10.1016/S0096-3003(03)00540-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this work, a new approach to stability theory of impulsive functional differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov function, several functions of partial components of x, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the advantages of the obtained results. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：835 / 847

页数：13

共 5 条

[1]

BAINOV DD, 1995, SUT J MATH, V31, P55

[2]

Ballinger G., 2000, APPL ANAL, V74, P71, DOI [10.1080 /00036810008840804, DOI 10.1080/00036810008840804]

[3]

Razumikhin type stability theorems for impulsive functional differential equations [J].