Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Synchronization of Complex Networks with Time-Varying Coupling Delay via Impulsive Control

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_91,
        author={Yang Dai and Yunze Cai and Xiaoming Xu},
        title={Synchronization of Complex Networks with Time-Varying Coupling Delay via Impulsive Control},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={Complex Networks Impulsive Control Synchronization Delay},
        doi={10.1007/978-3-642-02466-5_91}
    }
    
  • Yang Dai
    Yunze Cai
    Xiaoming Xu
    Year: 2012
    Synchronization of Complex Networks with Time-Varying Coupling Delay via Impulsive Control
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_91
Yang Dai1,*, Yunze Cai1, Xiaoming Xu
  • 1: Shanghai Jiao Tong University
*Contact email: daiyang1980@gmail.com

Abstract

Impulsive control and exponential synchronization analysis of a class of complex networks with time-varying coupling delay is investigated in this paper. Our aim is to enhance the synchronizability of the complex networks by applying impulsive control. By introducing a comparison system and estimating the corresponding Cauchy matrix sufficient conditions on global exponential synchronization are derived. An impulsive controller is explicitly designed not only to achieve synchronized dynamics for the complex networks, but simultaneously to ensure the states of synchronous error converging with a given decay rate. A numerical example is presented to illustrate the theoretical results and proposed controller design procedure.