Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control

被引：94
作者：
Zhang, Lan [1 ]
Yang, Xinsong [1 ]
Xu, Chen [2 ]
Feng, Jianwen [2 ]
机构：
[1] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 306卷
基金：
中国国家自然科学基金;
关键词：
Complex-valued complex networks; Time-delayed impulsive control; Stochastic perturbation; Synchronization; NEURAL-NETWORKS; CLUSTER SYNCHRONIZATION; DISTRIBUTED CONTROL; DYNAMICAL NETWORKS; SYSTEMS; STABILITY; NONLINEARITIES; DISTURBANCES; PARAMETERS; INPUT;
D O I：
10.1016/j.amc.2017.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considering the fact that time delays are unavoidable in the control of practical systems, this paper considers globally exponential synchronization of complex-valued complex dynamical networks with multiple time-varying delays and stochastic perturbations by designing a time-delayed impulsive control scheme. By taking the advantage of Lyapunov method in complex field and utilizing an impulsive inequality with delays, several synchronization criteria are obtained through strict mathematical proofs. Our results are general which extend some existing ones concerning impulsive synchronization. A numerical example is given to illustrate the effectiveness of theoretical results. (C) 2017 Elsevier Inc. All rights reserved.
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收藏
页码：22 / 30
页数：9
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