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Synchronization analysis for fractional order memristive Cohen–Grossberg neural networks with state feedback and impulsive control

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  • Zhang, Lingzhong
  • Yang, Yongqing
  • Xu, Xianyun

Abstract

This paper studies drive response synchronization in fractional order memristive Cohen–Grossberg neural networks (FMCGNNs) with time delay. By applying the asymptotic expansion property of Mittag Leffler function and the definition of average impulsive, some sufficient conditions based on feedback control and impulsive control are established for achieving finite time synchronization and exponential synchronization of the FMCGNNs. Moreover, the selection of impulsive gain depends on the fractional order α. The upper bound of the setting time for synchronization is estimated and the precisely exponential convergence rate is obtained when two controllers are utilized. Finally, numerical simulations illustrate the correctness of the theoretical results for two different controllers.

Suggested Citation

  • Zhang, Lingzhong & Yang, Yongqing & Xu, Xianyun, 2018. "Synchronization analysis for fractional order memristive Cohen–Grossberg neural networks with state feedback and impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 644-660.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:644-660
    DOI: 10.1016/j.physa.2018.04.088
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    References listed on IDEAS

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    Cited by:

    1. Pratap, A. & Raja, R. & Cao, J. & Lim, C.P. & Bagdasar, O., 2019. "Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 241-260.
    2. Zhang, Hai & Chen, Xinbin & Ye, Renyu & Stamova, Ivanka & Cao, Jinde, 2023. "Adaptive quasi-synchronization analysis for Caputo delayed Cohen–Grossberg neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 49-65.
    3. Ravi Agarwal & Snezhana Hristova, 2022. "Impulsive Memristive Cohen–Grossberg Neural Networks Modeled by Short Term Generalized Proportional Caputo Fractional Derivative and Synchronization Analysis," Mathematics, MDPI, vol. 10(13), pages 1-12, July.
    4. Zhang, Yanlin & Deng, Shengfu, 2019. "Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 176-190.

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