Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior

被引：15
|
作者：
Huang, Zhenkun [1 ]
Xia, Yonghui
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[3] Fuzhou Univ, Dept Math, Fuzhou 350002, Peoples R China
来源：
SIMULATION MODELLING PRACTICE AND THEORY | 2007年 / 15卷 / 06期
关键词：
Cohen-Grossberg neural networks; exponential p-stability; learning behavior; second order;
D O I：
10.1016/j.simpat.2006.12.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we investigate second order Cohen-Grossberg neural networks with transmission delays and an unsupervised Hebbian-type learning behavior. By using Laypunov-Krasovskii functional, some new sufficient conditions are established for the existence and global exponential p-stability of a unique equilibrium without strict conditions imposed on self regulation functions. The obtained sufficient conditions are easy to verify and our results improve the previously known results. Finally, computer simulations are performed to illustrate exponential p-stability of equilibrium and learning dynamic behavior of neurons. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：622 / 634
页数：13
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