Exponential synchronization of the complex dynamical networks with a coupling delay and impulsive effects

被引:74
作者
Yang, Yongqing [1 ,2 ]
Cao, Jinde [2 ]
机构
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
Exponential synchronization; Complex network; Impulsive effect; Delay; Linear matrix inequality; GLOBAL SYNCHRONIZATION; NEURAL-NETWORKS; STABILITY; CRITERIA; SYSTEMS; CHAOS; ARRAY;
D O I
10.1016/j.nonrwa.2009.03.020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on the stability analysis of the impulsive functional differential equation, the exponential synchronization of the complex dynamical network with a coupling delay and impulses is investigated in the paper. The criteria for the exponential synchronization are derived by the geometrical decomposition of network states and linear matrix inequality method. Two examples are given to show the effectiveness of the proposed criteria. (C) 2009 Elsevier Ltd All rights reserved.
引用
收藏
页码:1650 / 1659
页数:10
相关论文
共 34 条
  • [1] Synchronization of noisy delayed feedback systems with delayed coupling
    Buric, Nikola
    Todorovic, Kristina
    Vasovic, Nebojsa
    [J]. PHYSICAL REVIEW E, 2007, 75 (02):
  • [2] Robust impulsive synchronization of complex delayed dynamical networks
    Cai, Shuiming
    Zhou, Jin
    Xiang, Lan
    Liu, Zengrong
    [J]. PHYSICS LETTERS A, 2008, 372 (30) : 4990 - 4995
  • [3] CAO J, 2006, PHYS LETT A, V353, P865
  • [4] Synchronization in time-varying networks: A matrix measure approach
    Chen, Maoyin
    [J]. PHYSICAL REVIEW E, 2007, 76 (01):
  • [5] Synchronization in oscillator networks with delayed coupling: A stability criterion
    Earl, MG
    Strogatz, SH
    [J]. PHYSICAL REVIEW E, 2003, 67 (03): : 4
  • [6] Synchronization in general complex dynamical networks with coupling delays
    Li, CG
    Chen, GR
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 343 : 263 - 278
  • [7] Synchronization of complex dynamical networks with time delays
    Li, CP
    Sun, WG
    Kurths, J
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 361 (01) : 24 - 34
  • [8] Adaptive-impulsive synchronization of uncertain complex dynamical networks
    Li, K.
    Lai, C. H.
    [J]. PHYSICS LETTERS A, 2008, 372 (10) : 1601 - 1606
  • [9] Robust impulsive synchronization of coupled delayed neural networks with uncertainties
    Li, Ping
    Cao, Jinde
    Wang, Zidong
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 373 : 261 - 272
  • [10] Global synchronization for a class of dynamical complex networks
    Liu, Xian
    Wang, Jinzhi
    Huang, Lin
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 386 (01) : 543 - 556