Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays

被引：17
|
作者：
Guia, Zhanji [1 ,2 ]
Yang, Xiao-Song [2 ]
Ge, Weigao [3 ]
机构：
[1] Hainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
[3] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 79卷 / 01期
关键词：
neural networks; impulsive effect; periodic solution; quasi-periodic solution; global exponential stability; simulation method;
D O I：
10.1016/j.matcom.2007.09.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions. we study the existence, uniqueness and global exponential stability of periodic solutions for recurrent neural networks with impulsive perturbations and delays. Further, by using numerical simulation method, the influences of the impulsive perturbations on the inherent oscillations are investigated. (C) 2007 Published by Elsevier B.V. on behalf of IMACS.
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页码：14 / 29
页数：16
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