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

Research Article

Less Restrictive Synchronization Criteria in Complex Networks with Coupling Delays

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_36,
        author={Yun Shang and Maoyin Chen},
        title={Less Restrictive Synchronization Criteria in Complex Networks with Coupling Delays},
        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 synchronization matrix measure},
        doi={10.1007/978-3-642-02466-5_36}
    }
    
  • Yun Shang
    Maoyin Chen
    Year: 2012
    Less Restrictive Synchronization Criteria in Complex Networks with Coupling Delays
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_36
Yun Shang1,*, Maoyin Chen2,*
  • 1: AMSS, Academia Sinica
  • 2: Tsinghua University
*Contact email: shangyun602@163.com, mychen@mail.tsinghua.edu.cn

Abstract

This paper considers the synchronization in complex networks with coupling delays, whose topologies could be be symmetric and asymmetric. Differing from most works on the synchronization in complex networks with coupling delays, this paper only uses a positively-defined function, which is definitely not a Krasovskii-Lyapunov function, to analyze the synchronization criteria. Further, we can derive novel but less restrictive synchronization criteria than those resulting from the Krasovskii-Lyapunov theory. Theoretical analysis and numerical simulations fully verify the main results.