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Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks

Author

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  • Li, Jiarong
  • Jiang, Haijun
  • Hu, Cheng
  • Yu, Juan

Abstract

This paper addresses the finite-time and fixed-time synchronization issue of delayed complex dynamical networks (CDNs). Firstly, as an important preliminary, an improved and generalized finite-time stability theory is established for delayed nonlinear systems to prove the finite-time synchronization mainly through the reduction to absurdity. Different from some existing results, a more detailed discussion of the setting time function for finite-time synchronization is given. Besides, a novel feedback controller is firstly proposed to unify finite-time and fixed-time synchronization just by adjusting the key control parameter. Furthermore, several new criteria are derived to ensure the finite-time and fixed-time synchronization based on inequality analysis method and constructing appropriate Lyapunov functional. Finally, some numerical simulations are presented to support the theoretical results.

Suggested Citation

  • Li, Jiarong & Jiang, Haijun & Hu, Cheng & Yu, Juan, 2018. "Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 291-305.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:291-305
    DOI: 10.1016/j.chaos.2018.07.019
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    References listed on IDEAS

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    1. Shuguo Wang & Chunyuan He & Hongxing Yao, 2012. "Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, August.
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    4. Feng, Jianwen & Yang, Pan & Zhao, Yi, 2016. "Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 52-68.
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    Cited by:

    1. Issaraporn Khonchaiyaphum & Nayika Samorn & Thongchai Botmart & Kanit Mukdasai, 2021. "Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays," Mathematics, MDPI, vol. 9(24), pages 1-26, December.

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