Graph-theoretic approach to exponential synchronization of coupled systems on networks with mixed time-varying delays

被引：13
作者：
Guo, Beibei [1 ]
Xiao, Yu [1 ]
Zhang, Chiping [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 12期
关键词：
PERIODICALLY INTERMITTENT CONTROL; NEURAL-NETWORKS; REACTION-DIFFUSION; IMPULSIVE CONTROL; FUZZY MODEL; STABILIZATION; IMPLEMENTATION; COMMUNICATION; DESIGN; ROBUST;
D O I：
10.1016/j.jfranklin.2017.05.029
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the issue of exponential synchronization for coupled systems on networks with mixed time-varying delays is concerned. An approach combining Kirchhoff's matrix tree theorem in graph theory with Lyapunov method and periodically intermittent control is taken to investigate the problem. This method is different from the corresponding previous works. Two different kinds of synchronization conditions in the form of Lyapunov-type theorem and coefficients-type criterion are derived. They both reveal synchronization has a close relation with the topology structure of the network. Finally, the feasibility and effectiveness of the proposed method are illustrated by several numerical simulation figures. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：5067 / 5090
页数：24
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