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Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays

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  • Kashkynbayev, Ardak
  • Issakhanov, Alfarabi
  • Otkel, Madina
  • Kurths, Jürgen

Abstract

In the present paper, we investigate both the finite-time and fixed-time synchronization of retarded shunting inhibitory cellular neural networks. By constructing suitable Lyapunov functions and feedback control schemes we derive several sufficient conditions to guarantee finite-time and fixed-time synchronization of such networks. Finally, to illustrate the effectiveness of our theoretical results we consider examples with numerical simulations.

Suggested Citation

  • Kashkynbayev, Ardak & Issakhanov, Alfarabi & Otkel, Madina & Kurths, Jürgen, 2022. "Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000777
    DOI: 10.1016/j.chaos.2022.111866
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    References listed on IDEAS

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    1. Zhao, Yong & Ren, Shanshan & Kurths, Jürgen, 2021. "Finite-time and fixed-time synchronization for a class of memristor-based competitive neural networks with different time scales," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. Kashkynbayev, Ardak & Cao, Jinde & Suragan, Durvudkhan, 2021. "Global Lagrange stability analysis of retarded SICNNs," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Huang, Zaitang & Yang, Qi-Gui, 2009. "Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 773-780.
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    Cited by:

    1. Otkel, Madina & Ganesan, Soundararajan & Rajan, Rakkiyappan & Kashkynbayev, Ardak, 2024. "Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 252-263.
    2. Weiqiu Pan & Tianzeng Li & Muhammad Sajid & Safdar Ali & Lingping Pu, 2022. "Parameter Identification and the Finite-Time Combination–Combination Synchronization of Fractional-Order Chaotic Systems with Different Structures under Multiple Stochastic Disturbances," Mathematics, MDPI, vol. 10(5), pages 1-26, February.

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