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Nonseparation analysis-based finite/fixed-time synchronization of fully complex-valued impulsive dynamical networks

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  • Xiong, Kailong
  • Yu, Juan
  • Hu, Cheng
  • Wen, Shiping
  • Kong, Fanchao

Abstract

In this article, the impulsive effect is introduced into complex-variable networks (CO-VNs) and the finite/fixed-time synchronization (FI-T/FX-TS) of fully CO-VNs is discussed without using the classical decomposition approach. First of all, by applying the comparison principle, mathematical induction and the optimization method, two theorems are established to realize FI/FX-T stability of impulsive systems, and the estimated convergence time derived is more accurate. Furthermore, under the vector-valued signum function and different forms of norms in the complex field, several complex-valued control protocols are directly designed to realize synchronization. Besides, some effective conditions for FI/FX-TS are derived under the improved FI/FX-T stability results, which are simpler and easier to be verified than the previous decomposition results. To conclude, three numerical examples are provided to verify the obtained theoretical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:467:y:2024:i:c:s0096300323006690
    DOI: 10.1016/j.amc.2023.128500
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    References listed on IDEAS

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    1. Kumar, Ankit & Das, Subir & Yadav, Vijay K. & Rajeev,, 2021. "Global quasi-synchronization of complex-valued recurrent neural networks with time-varying delay and interaction terms," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. 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.
    3. Zhang, Chuan & Wang, Xingyuan & Unar, Salahuddin & Wang, Yu, 2019. "Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    4. Pan, Jinsong & Zhang, Zhengqiu, 2021. "Finite-time synchronization for delayed complex-valued neural networks via the exponential-type controllers of time variable," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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