Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays

被引:60
作者
Lou, Xu-Yang [1 ]
Cui, Bao-Tong [1 ]
机构
[1] So Yangtze Univ, Res Ctr Control Sci & Engn, Wuxi 214122, Jiangsu, Peoples R China
关键词
asymptotic synchronization; neural networks; reaction-diffusion terms; Lyapunov functional; time-varying;
D O I
10.1016/j.camwa.2006.05.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the problem of asymptotic synchronization for a class of neural networks with react ion-diffusion terms and time-varying delays is investigated. Using the drive-response concept, a control law is derived to achieve the state synchronization of two identical neural networks with reaction-diffusion terms. Moreover, we derive a sufficient asymptotic synchronization condition for the neural networks with reaction-diffusion terms if reaction-diffusion terms satisfy a weaker condition. The synchronization condition is easy to verify and relies on the connection matrix in the driven networks and the suitable designed controller gain matrix in the response networks. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:897 / 904
页数:8
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