Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes

被引：112
|
作者：
Wang, Xin [1 ,2 ]
Liu, Xinzhi [2 ]
She, Kun [1 ]
Zhong, Shouming [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu 610054, Sichuan, Peoples R China
[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 26卷
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Synchronization; Complex dynamical networks; Pinning impulsive control; Time-varying delay; ADAPTIVE SYNCHRONIZATION; NEURAL-NETWORKS; STABILIZATION; STABILITY;
D O I：
10.1016/j.nahs.2017.06.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the pinning impulsive synchronization problem for a class of complex dynamical networks with time-varying delay. By applying the Lyapunov stability theory and mathematical analysis technique, sufficient verifiable criterion for the synchronization of delayed complex dynamical networks with small delay is derived analytically. It is shown that synchronization can be achieved by only impulsively controlling a small fraction of network nodes. Moreover, a novel sufficient condition is constructed to relax the restrictions on the size of time-delay and guarantee the synchronization of concerned networks with large delay. Two numerical examples are presented to illustrate the effectiveness of the obtained results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：307 / 318
页数：12
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