Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks

被引：9

作者：

Guo, Ying ^{[1
]}

Ding, Xiaohua ^{[2
]}

机构：

[1] Qingdao Technol Univ, Dept Math, Qingdao 266520, Peoples R China

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 15期

关键词：

neutral stochastic delayed systems; coupled systems on networks; global exponential stability; Razumikhin method; graph theory; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ASYMPTOTIC STABILITY; NEURAL-NETWORKS; NONLINEAR INCIDENCE; INFINITE DELAYS; EPIDEMIC MODELS; THEOREMS; DYNAMICS;

D O I：

10.1002/mma.4404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global exponential stability for coupled neutral stochastic delayed systems on networks (CNSDSNs) is investigated in this paper. By means of combining the Razumikhin method with graph theory, some sufficient conditions that can be verified easily are derived to ensure the global exponential stability for CNSDSNs. Finally, a specific model of CNSDSNs is discussed, and numerical test manifests the effectiveness of the theoretical results. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：5490 / 5501

页数：12

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