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Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks

Author

Listed:
  • Lu Pang

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

  • Cheng Hu

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

  • Juan Yu

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

  • Haijun Jiang

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

Abstract

This paper mainly deals with the issue of fixed-time synchronization of fuzzy-based impulsive complex networks. By developing fixed-time stability of impulsive systems and proposing a T-S fuzzy control strategy with pure power-law form, some simple criteria are acquired to achieve fixed-time synchronization of fuzzy-based impulsive complex networks and the estimation of the synchronized time is given. Ultimately, the presented control scheme and synchronization criteria are verified by numerical simulation.

Suggested Citation

  • Lu Pang & Cheng Hu & Juan Yu & Haijun Jiang, 2022. "Fixed-Time Synchronization for Fuzzy-Based Impulsive Complex Networks," Mathematics, MDPI, vol. 10(9), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1533-:d:807833
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    References listed on IDEAS

    as
    1. Wenqiang Yang & Li Xiao & Junjian Huang & Jinyue Yang, 2021. "Fixed-Time Synchronization of Neural Networks Based on Quantized Intermittent Control for Image Protection," Mathematics, MDPI, vol. 9(23), pages 1-14, November.
    2. Feng, Liang & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Fixed-time Synchronization of Coupled Memristive Complex-valued Neural Networks," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    3. Liu, Jiang, 2005. "Global exponential stability of Cohen–Grossberg neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 935-945.
    4. Pagani, Giuliano Andrea & Aiello, Marco, 2013. "The Power Grid as a complex network: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2688-2700.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Xiong, Kailong & Yu, Juan & Hu, Cheng & Wen, Shiping & Kong, Fanchao, 2024. "Nonseparation analysis-based finite/fixed-time synchronization of fully complex-valued impulsive dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 467(C).
    2. Qilong Sun & Haitao Li, 2022. "Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation," Mathematics, MDPI, vol. 10(21), pages 1-12, October.

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