Global exponential stability for coupled retarded systems on networks: A graph-theoretic approach

被引：22
|
作者：
Li, Wenxue [1 ]
Yang, Hongwei [1 ]
Wen, Liang [1 ]
Wang, Ke [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 06期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Coupled retarded systems; Networks; Exponential stability; Razumikhin method; GROSSBERG NEURAL-NETWORKS; MODELS; BOUNDEDNESS; DYNAMICS; DELAY;
D O I：
10.1016/j.cnsns.2013.09.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some coupled retarded systems on networks (CRSNs) are studied. Applying the idea of Razumikhin method and Mirchhoff's matrix tree theorem, the sufficient conditions for global exponential stability of the CRSNs are obtained. Finally, an example of coupled retarded oscillator system on networks is given to illustrate the advantages of our results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：1651 / 1660
页数：10
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