Synchronization stability of general complex dynamical networks with time-varying delays

被引:87
|
作者
Li, Kun [1 ,2 ]
Guan, Shuguang [1 ,2 ]
Gong, Xiaofeng [1 ,2 ]
Lai, C. -H. [2 ,3 ]
机构
[1] Natl Univ Singapore, Temasek Labs, Singapore 117508, Singapore
[2] Natl Univ Singapore, Beijing Hong Kong SingaporeJoint Ctr Nonlinear &, Singapore 117508, Singapore
[3] Natl Univ Singapore, Dept Phys, Singapore 117508, Singapore
关键词
Complex network; Time-varying delay; Synchronization; Linear matrix inequality;
D O I
10.1016/j.physleta.2008.10.054
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The synchronization problem of some general complex dynamical networks with time-varying delays is investigated. Both time-varying delays in the network Couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based oil free-weighting matrices technique and appropriate Lyapunov functional proposed recently. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:7133 / 7139
页数:7
相关论文
共 50 条
  • [1] Synchronization Stability of Complex Dynamical Networks with Probabilistic Time-Varying Delays
    Li, Hongjie
    Yue, Dong
    Gu, Zhou
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 621 - 625
  • [2] Synchronization stability of general complex dynamical networks with time-varying delays: A piecewise analysis method
    Li, Hongjie
    Yue, Dong
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 149 - 158
  • [3] New synchronization stability criteria for general complex dynamical networks with interval time-varying delays
    Jian-An Wang
    [J]. Neural Computing and Applications, 2017, 28 : 805 - 815
  • [4] New synchronization stability criteria for general complex dynamical networks with interval time-varying delays
    Wang, Jian-An
    [J]. NEURAL COMPUTING & APPLICATIONS, 2017, 28 (04): : 805 - 815
  • [5] Adaptive Synchronization of Complex Dynamical Networks with Time-Varying Delays
    Bo Liu
    Xiaoling Wang
    Housheng Su
    Hongtao Zhou
    Yuntao Shi
    Rong Li
    [J]. Circuits, Systems, and Signal Processing, 2014, 33 : 1173 - 1188
  • [6] Adaptive Synchronization of Complex Dynamical Networks with Time-Varying Delays
    Liu, Bo
    Wang, Xiaoling
    Su, Housheng
    Zhou, Hongtao
    Shi, Yuntao
    Li, Rong
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (04) : 1173 - 1188
  • [7] Synchronization Criteria of Complex Dynamical Networks with Time-varying Delays
    Li, Hongjie
    Yue, Dong
    [J]. 2008 IEEE INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING WORKSHOP PROCEEDINGS, VOLS 1 AND 2, 2008, : 1183 - +
  • [8] Synchronization of singular complex dynamical networks with time-varying delays
    Koo, J. H.
    Ji, D. H.
    Won, S. C.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 3916 - 3923
  • [9] Synchronization stability of continuous/discrete complex dynamical networks with interval time-varying delays
    Yue, Dong
    Li, Hongjie
    [J]. NEUROCOMPUTING, 2010, 73 (4-6) : 809 - 819
  • [10] Output Synchronization of a General Complex Dynamical Network with Time-Varying Delays
    Gan Liangzhi
    [J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 4696 - 4700