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Synchronization analysis of a fractional-order non-autonomous neural network with time delay

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  • Wang, Changyou
  • Yang, Qiang
  • Zhuo, Yuan
  • Li, Rui

Abstract

This paper studies the problem of synchronization of a class of fractional-order non-autonomous neural network model with time delay. By using the Mittag-Leffler function and the linear feedback control, the analytic expression of synchronous controller is given. Moreover, a sufficient condition is obtained ensuring the synchronization of such delayed fractional-order neural network with Caputo derivatives by developing some new analysis methods and using the theory of delayed differential inequalities as well as constructing a suitable Lyapunov function. Finally, some numerical simulations are given to verify the effectiveness of the proposed results.

Suggested Citation

  • Wang, Changyou & Yang, Qiang & Zhuo, Yuan & Li, Rui, 2020. "Synchronization analysis of a fractional-order non-autonomous neural network with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    • Handle: RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120300248
    DOI: 10.1016/j.physa.2020.124176
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    References listed on IDEAS

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    1. Yang, Xujun & Li, Chuandong & Huang, Tingwen & Song, Qiankun & Huang, Junjian, 2018. "Synchronization of fractional-order memristor-based complex-valued neural networks with uncertain parameters and time delays," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 105-123.
    2. Wang, Fei & Yang, Yongqing & Hu, Manfeng & Xu, Xianyun, 2015. "Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 134-143.
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    Cited by:

    1. 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).
    2. Zhao, Mingfang & Li, Hong-Li & Zhang, Long & Hu, Cheng & Jiang, Haijun, 2023. "Quasi-synchronization of discrete-time fractional-order quaternion-valued memristive neural networks with time delays and uncertain parameters," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    3. Zhang, Hai & Cheng, Yuhong & Zhang, Weiwei & Zhang, Hongmei, 2023. "Time-dependent and Caputo derivative order-dependent quasi-uniform synchronization on fuzzy neural networks with proportional and distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 846-857.

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