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
相关论文
共 50 条
  • [1] Adaptive pinning impulsive synchronization of dynamical networks with time-varying delay
    Xiaoli Gong
    Zhaoyan Wu
    Advances in Difference Equations, 2015
  • [2] Adaptive pinning impulsive synchronization of dynamical networks with time-varying delay
    Gong, Xiaoli
    Wu, Zhaoyan
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [3] PINNING IMPULSIVE STABILIZATION OF NONLINEAR DYNAMICAL NETWORKS WITH TIME-VARYING DELAY
    Lu, Jianquan
    Wang, Zidong
    Cao, Jinde
    Ho, Daniel W. C.
    Kurths, Juergen
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (07):
  • [4] Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay
    Li, Biwen
    Wang, Nengjie
    Ruan, Xiaoli
    Pan, Qiujin
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [5] Pinning synchronization of complex dynamical networks with and without time-varying delay
    Xu, Meng
    Wang, Jin-Liang
    Huang, Yan-Li
    Wei, Pu-Chong
    Wang, Shu-Xue
    NEUROCOMPUTING, 2017, 266 : 263 - 273
  • [6] Synchronization criteria for impulsive complex dynamical networks with time-varying delay
    Wang, Jin-Liang
    Wu, Huai-Ning
    NONLINEAR DYNAMICS, 2012, 70 (01) : 13 - 24
  • [7] Exponential synchronization of stochastic complex dynamical networks with time-varying delay and impulsive effects
    Liu, Linna
    Deng, Feiqi
    2019 IEEE 15TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2019, : 9 - 14
  • [8] Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes
    Wang Shu-Guo
    Yao Hong-Xing
    CHINESE PHYSICS B, 2012, 21 (05)
  • [9] Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects
    Fan, Hongguang
    Shi, Kaibo
    Zhao, Yi
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 587
  • [10] Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
    Xu, Chen
    Wang, Jingyi
    Feng, Jianwen
    Zhao, Yi
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
12345