Global synchronization in an array of delayed neural networks with hybrid coupling

被引：319

作者：

Cao, Jinde ^{[1
,2
]}

Chen, Guanrong ^{[1
]}

Li, Ping ^{[2
,3
]}

机构：

[1] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

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

[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2008年 / 38卷 / 02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：

delayed neural network; distributed-delay coupling; global exponential synchronization; hybrid coupling; Kronecker product; Lyapunov-Krasovskii functional;

D O I：

10.1109/TSMCB.2007.914705

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 propose and study a general array model of coupled delayed neural networks with hybrid coupling, which is composed of constant coupling, discrete-delay coupling, and distributed-delay coupling. Based on the Lyapunov functional method and Kronecker product properties, several sufficient conditions are established to ensure global exponential synchronization based on the design of the coupling matrices, the inner linking matrices, and/or some free matrices representing the relationships between the system matrices. The conditions are expressed within the framework of linear matrix inequalities, which can be easily computed by the interior-point method. In addition, a typical chaotic cellular neural network is used as the node in the array to illustrate the effectiveness and advantages of the theoretical results.

引用

页码：488 / 498

页数：11

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