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Finite time complete synchronization for fractional-order multiplex networks

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  • Wu, Xifen
  • Bao, Haibo

Abstract

In this paper, the finite-time complete synchronization of fractional-order multiplex networks is investigated by using a hybrid feedback controller. Firstly, by utilizing fractional-order differential inequalities, some innovative sufficient conditions are derived to guarantee complete synchronization for fractional-order multiplex networks in a finite time. The settling time obtained in most articles is independent of the order of fractional-order, however, this paper shows an explicit expression for the settling time in the multiplex networks, which can reveal the relationship between the settling time and the order of fractional-order. Moreover, the issue of finite-time complete synchronization for fractional-order multiplex networks when there are no inter-layer couplings or intra-layer couplings are considered, and it is found that the intra-layer couplings and the inter-layer couplings have great influence on the network synchronization region. Finally, the theoretical results which we derived are attested to be indeed feasible through numerical simulations.

Suggested Citation

  • Wu, Xifen & Bao, Haibo, 2020. "Finite time complete synchronization for fractional-order multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301570
    DOI: 10.1016/j.amc.2020.125188
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    References listed on IDEAS

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    1. Louis M. Pecora & Francesco Sorrentino & Aaron M. Hagerstrom & Thomas E. Murphy & Rajarshi Roy, 2014. "Cluster synchronization and isolated desynchronization in complex networks with symmetries," Nature Communications, Nature, vol. 5(1), pages 1-8, September.
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    Cited by:

    1. Chen, Wei & Yu, Yongguang & Hai, Xudong & Ren, Guojian, 2022. "Adaptive quasi-synchronization control of heterogeneous fractional-order coupled neural networks with reaction-diffusion," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Li, Hong-Li & Hu, Cheng & Zhang, Long & Jiang, Haijun & Cao, Jinde, 2021. "Non-separation method-based robust finite-time synchronization of uncertain fractional-order quaternion-valued neural networks," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    3. Ren, Yue & Jiang, Haijun & Hu, Cheng & Li, Xinman & Qin, Xuejiao, 2023. "Discontinuous control for exponential synchronization of complex-valued stochastic multi-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.

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