A new approach to practical stability of impulsive functional differential equations in terms of two measures

被引：12

作者：

Liu, Yang ^{[1
,2
]}

Zhao, Shouwei ^{[1
]}

机构：

[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 223卷 / 01期

关键词：

Practical stability; Lyapunov functions; Impulsive functional differential equations; Razumikhin technique; Wedge functions; TIME SCALES; SYSTEMS; DELAY;

D O I：

10.1016/j.cam.2008.01.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a new approach to the practical stability theory of impulsive functional differential equations. With Lyapunov functionals and Razumikhin technique, we use a new technique in the division of Lyapunov functions, given by Shunian Zhang, and obtain conditions sufficient for the uniform practical (asymptotical) stability of impulsive delay differential equations. An example is also discussed to illustrate the advantage of the proposed results. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：449 / 458

页数：10

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