Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays

被引:116
作者
Song, Qiankun [1 ]
Zhang, Jiye [2 ]
机构
[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
[2] SW Jiaotong Univ, Natl Tract Power Lab, Chengdu 610031, Peoples R China
基金
中国国家自然科学基金;
关键词
global exponential stability; Cohen-Grossberg neural network; time-varying delays; impulsive; M-matrix;
D O I
10.1016/j.nonrwa.2006.11.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the impulsive Cohen-Grossberg neural network model with time-varying delays is considered. Applying the idea of vector Lyapunov function, M-matrix theory and inequality technique, several new sufficient conditions are obtained to ensure global exponential stability of equilibrium point for impulsive Cohen-Grossberg neural network with time-varying delays. These results generalize a few previous known results and remove some restrictions on the neural network. An example is given to show the effectiveness of the obtained results. It is believed that these results are significant and useful for the design and applications of the Cohen-Grossberg neural network. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:500 / 510
页数:11
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