On the global exponential stability of impulsive functional differential equations with infinite delays or finite delays

被引：25

作者：

Li, Xiaodi ^{[1
,2
]}

Fu, Xilin ^{[1
]}

机构：

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

[2] Res Ctr Logist Optimizat & Predict Engn Technol, Jinan 250014, Shandong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 03期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Global exponential stability; Impulsive functional differential equations; Razumikhin technique; Lyapunov functions; Infinite delays; Convergence rate; RAZUMIKHIN-TYPE THEOREMS; NEURAL-NETWORKS; SYSTEMS; BOUNDEDNESS; EXISTENCE;

D O I：

10.1016/j.cnsns.2013.07.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the impulsive functional differential equations with infinite delays or finite delays. Some new sufficient conditions are obtained to guarantee the global exponential stability by employing the improved Razumikhin technique and Lyapunov functions. The result extends and improves some recent works. Moreover, the obtained Razumikhin condition is very simple and effective to implement in real problems and it is helpful to investigate the stability of delayed neural networks and synchronization problems of chaotic systems under impulsive perturbation. Finally, a numerical example and its simulation is given to show the effectiveness of the obtained result in this paper. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：442 / 447

页数：6

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