Existence and global p-exponential stability of periodic solution for impulsive stochastic neural networks with delays

被引：33

作者：

Li, Dingshi ^{[1
]}

Wang, Xiaohu ^{[1
]}

Xu, Daoyi ^{[1
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2012年 / 6卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Periodic solution; Neural networks; Stochastic; Impulsive; Delay; TIME-VARYING DELAYS; DISTRIBUTED DELAYS; VARIABLE DELAYS; EQUATIONS;

D O I：

10.1016/j.nahs.2011.11.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider a class of impulsive stochastic neural networks with delays. By establishing new integral inequalities and using the properties of spectral radius of nonnegative matrix, some sufficient conditions for the existence and global p-exponential stability of periodic solution for impulsive stochastic neural networks with delays are given. Our results imply that under the appropriate linear periodic impulsive perturbations, the impulsive stochastic neural networks with delays preserve the original periodic property of the nonimpulsive stochastic neural networks with delays. An example is provided to show the effectiveness of the theoretical results. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：847 / 858

页数：12

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