Existence and global exponential stability of periodic solutions for coupled control systems on networks with feedback and time delays

被引：9

作者：

Gao, Shang ^{[1
]}

Wang, Qi ^{[2
]}

Wu, Boying ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 63卷

基金：

美国国家科学基金会;

关键词：

Periodic solutions; Global exponential stability; Coupled control systems; Networks; ADAPTIVE SYNCHRONIZATION; NEURAL-NETWORKS; ATTRACTIVITY; DYNAMICS;

D O I：

10.1016/j.cnsns.2018.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and global exponential stability of periodic solutions for coupled control systems on networks with feedback and time delays (CCSFD) are considered. Several sufficient criteria are given to guarantee the existence and global exponential stability of periodic solutions for CCSFD by combining with coincidence degree theory, Lyapunov method, and graph theory. Furthermore, an application to a class of Lurie coupled control systems on networks is presented to show the feasibility of our results. In the end, a numerical test is presented to illustrate the effectiveness of our theoretical results. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：72 / 87

页数：16

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