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Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters

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  • Liu, Lingfeng
  • Miao, Suoxia

Abstract

Outer synchronization between different complex dynamical networks has received wide attention. In this paper, we investigate the outer synchronization between delayed coupling networks with different node dynamics and uncertain parameters. Based on the Lyapunov stability theory, the synchronization can be realized by adding some controllers. In our network model, the node dynamics are different and the parameters of the response network are uncertain. By using an identification law, the parameters of the response network are identified simultaneously when the synchronization is realized. Furthermore, some numerical simulations are given to show the validity of our control strategies.

Suggested Citation

  • Liu, Lingfeng & Miao, Suoxia, 2018. "Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 890-901.
    • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:890-901
    DOI: 10.1016/j.physa.2018.08.084
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    References listed on IDEAS

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    Cited by:

    1. Liu, Lingfeng & Liu, Kui & Xiang, Hongyue & Liu, Qian, 2020. "Pinning impulsive cluster synchronization of complex dynamical network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    3. Jia, You & Wu, Huaiqin & Cao, Jinde, 2020. "Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 370(C).

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