The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays

被引：18

作者：

Zhang, Xinhong ^{[1
,2
]}

Li, Wenxue ^{[2
]}

Wang, Ke ^{[2
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 264卷

基金：

中国博士后科学基金;

关键词：

Periodic solutions; Graph theory; Coincidence degree theory; Neutral coupled system on networks; Global exponential stability; GRAPH-THEORETIC APPROACH; FUNCTIONAL-DIFFERENTIAL SYSTEM; MULTIPLE DEVIATING ARGUMENTS; GROSSBERG NEURAL-NETWORKS; ATTRACTIVITY; EQUATION; MODELS;

D O I：

10.1016/j.amc.2015.04.109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish sufficient conditions for the existence and global exponential stability of periodic solution to a type of neutral coupled system on networks with delays. The key to prove the existence of periodic solutions is using the combined method of graph theory, coincidence degree theory and Lyapunov functional method. And the sufficient conditions are easy to be checked. Finally, a numerical simulation is carried out to show the correctness of our main results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：208 / 217

页数：10

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