Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control

被引：55
|
作者：
Yang, Huilan [1 ]
Wang, Xin [2 ]
Zhong, Shouming [1 ]
Shu, Lan [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu 610054, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 320卷
基金：
中国国家自然科学基金;
关键词：
Synchronization; Distributed impulsive control; Delayed impulses; Complex dynamical networks; SAMPLED-DATA CONTROL; TIME-VARYING DELAYS; EXPONENTIAL SYNCHRONIZATION; DIFFERENTIAL-SYSTEMS; NEURAL-NETWORKS; CLUSTER SYNCHRONIZATION; STABILITY ANALYSIS; COUPLING DELAY; DESIGN;
D O I：
10.1016/j.amc.2017.09.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the exponential synchronization problem of nonlinear complex dynamical systems via delayed impulsive distributed control. Different from the existing results on the synchronization of complex dynamical systems, impulsive input delays are considered in our model. Combined with the time-varying Lyapunov functional and mathematical induction approaches, criteria on system synchronization are established, which sufficiently utilize the information of both the state variables of themselves and their neighbors. Moreover, it is shown that the frequency of impulsive occurrence and impulsive input delays can heavily affect the synchronization performance. Finally, two numerical simulations are given to illustrate the effectiveness of the derived theoretical results. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：75 / 85
页数：11
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