Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control

被引：57
|
作者：
Feng, Jianwen [1 ]
Yu, Fenfen [1 ]
Zhao, Yi [1 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Exponential synchronization; Impulsive control; Hybrid time-varying delay; Nonlinear coupling; CLUSTER SYNCHRONIZATION; NEURAL-NETWORKS; SYSTEMS; STABILITY;
D O I：
10.1007/s11071-016-2711-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper investigates the issue of exponential synchronization for a class of nonlinearly coupled complex networks with hybrid time-varying delays by applying impulsive control protocol. It should be mentioned we need not to assume the synchronization state since it may be difficult to find an appropriate function or dynamics to describe the synchronization manifold. By employing the Lyapunov method combined with average impulsive interval as well as the comparison principle, a set of simple and easily verifiable sufficient conditions are derived to guarantee the exponential synchronization for any initial values. Meanwhile, the exponential convergence rate can be specified through the analysis of the networks. Additionally, some numerical examples are given to verify the effectiveness of our theoretical results.
引用
收藏
页码：621 / 632
页数：12
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