Synchronization of complex networks with nonhomogeneous Markov jump topology

被引：40
作者：
Li, Zu-Xin [1 ]
Park, Ju H. [2 ]
Wu, Zheng-Guang [2 ,3 ]
机构：
[1] Huzhou Teachers Coll, Sch Informat Engn, Huzhou 313000, Zhejiang, Peoples R China
[2] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea
[3] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2013年 / 74卷 / 1-2期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
Complex dynamical networks (CDNs); Synchronization; Nonhomogeneous Markov jump topology; Time-varying delay; TIME-DELAY SYSTEMS; SWITCHING TOPOLOGY; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; STABILITY ANALYSIS; FAULT-DETECTION; LINEAR-SYSTEMS; NONLINEARITIES; TRACKING;
D O I：
10.1007/s11071-013-0949-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The problem of synchronization of complex networks with nonhomogeneous Markov jump topology and time-varying coupling delay is investigated in this paper. The Markov process in the underlying complex networks is finite piecewise homogeneous, which is a special case of nonhomogeneous Markov process. Based on the Lyapunov functional approach, an exponential stability condition is derived for the error system in terms of the linear matrix inequality method. Based on the condition, the design method of the desired controller is given. An example is given to show the effectiveness of the proposed technique.
引用
收藏
页码：65 / 75
页数：11
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    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2012, 59 (10) : 2354 - 2362
  • [2] Robust H∞ Filtering for Markovian Jump Systems With Randomly Occurring Nonlinearities and Sensor Saturation: The Finite-Horizon Case
    Dong, Hongli
    Wang, Zidong
    Ho, Daniel W. C.
    Gao, Huijun
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (07) : 3048 - 3057
  • [3] Reliable Dissipative Control for Singular Markovian Systems
    Feng, Zhiguang
    Lam, James
    [J]. ASIAN JOURNAL OF CONTROL, 2013, 15 (03) : 901 - 910
  • [4] Partial-Information-Based Distributed Filtering in Two-Targets Tracking Sensor Networks
    Huang, Chi
    Ho, Daniel W. C.
    Lu, Jianquan
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2012, 59 (04) : 820 - 832
  • [5] Synchronization for general complex dynamical networks with sampled-data
    Li, Nan
    Zhang, Yulian
    Hu, Jiawen
    Nie, Zhenyu
    [J]. NEUROCOMPUTING, 2011, 74 (05) : 805 - 811
  • [6] Robust Synchronization for 2-D Discrete-Time Coupled Dynamical Networks
    Liang, Jinling
    Wang, Zidong
    Liu, Xiaohui
    Louvieris, Panos
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (06) : 942 - 953
  • [7] Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology
    Liu, Tao
    Zhao, Jun
    Hill, David J.
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2010, 57 (11) : 2967 - 2980
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    Liu, Yurong
    Wang, Zidong
    Liang, Jinling
    Liu, Xiaohui
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2013, 43 (01) : 102 - 114
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    Ho, Daniel W. C.
    Cao, Jinde
    Kurths, Juergen
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 581 - 593
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    Lu, Jianquan
    Kurths, Juergen
    Cao, Jinde
    Mahdavi, Nariman
    Huang, Chi
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (02) : 285 - 292
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