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Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control

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  • Otkel, Madina
  • Ganesan, Soundararajan
  • Rajan, Rakkiyappan
  • Kashkynbayev, Ardak

Abstract

This paper proposes a novel time-dependent gain parameter-based sliding mode controller (SMC) to realize the finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks (Mem-SICNNs) having time-varying delays. In this regard, a new terminal sliding mode surface is designed and its reachability is analyzed. According to synchronization error analysis, the stability property of the desired error system is reached within finite-time/fixed-time range by proposing a unique time-dependent gain parameter-based SMC and choosing the appropriate Lyapunov functionals. Finally, a numerical example is approached by software simulation and manual calculation to estimate the settling-time of the finite-time/fixed-time synchronization criteria of the proposed Mem-SICNNs model.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:222:y:2024:i:c:p:252-263
    DOI: 10.1016/j.matcom.2023.08.024
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    References listed on IDEAS

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    1. Cai, Mingshan & Zhang, Hong & Yuan, Zhaohui, 2008. "Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 548-558.
    2. Takhi, Hocine & Kemih, Karim & Moysis, Lazaros & Volos, Christos, 2021. "Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 150-169.
    3. Li, Ruoxia & Cao, Jinde & Xue, Changfeng & Manivannan, R., 2021. "Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    4. Pradeep, C. & Cao, Yang & Murugesu, R. & Rakkiyappan, R., 2019. "An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 41-56.
    5. Kashkynbayev, Ardak & Cao, Jinde & Suragan, Durvudkhan, 2021. "Global Lagrange stability analysis of retarded SICNNs," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    6. Derakhshannia, Mehran & Moosapour, Seyyed Sajjad, 2022. "Disturbance observer-based sliding mode control for consensus tracking of chaotic nonlinear multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 610-628.
    7. 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).
    8. Baolin Qiu & Lixiang Li & Haipeng Peng & Yixian Yang, 2017. "Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-14, January.
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