Synchronization in an array of linearly stochastically coupled networks with time delays

被引：203

作者：

Cao, Jinde ^{[1
]}

Wang, Zidong

Sun, Yonghui

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Brunel Univ, Dept Informat Syst & Comp, Uxbridge UB8 3PH, Middx, England

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2007年 / 385卷 / 02期

基金：

中国国家自然科学基金;

关键词：

stochastic coupling; adaptive synchronization; mean square asymptotic stability; LaSalle invariance principle; delayed neural networks; coupling delay;

D O I：

10.1016/j.physa.2007.06.043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the complete synchronization problem is investigated in an array of linearly stochastically coupled identical networks with time delays. The stochastic coupling term, which can reflect a more realistic dynamical behavior of coupled systems in practice, is introduced to model a coupled system, and the influence from the stochastic noises on the array of coupled delayed neural networks is studied thoroughly. Based on a simple adaptive feedback control scheme and some stochastic analysis techniques, several sufficient conditions are developed to guarantee the synchronization in an array of linearly stochastically coupled neural networks with time delays. Finally, an illustrate example with numerical simulations is exploited to show the effectiveness of the theoretical results. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：718 / 728

页数：11

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