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Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay

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  • Zhang, Yanlin
  • Deng, Shengfu

Abstract

This paper studies the finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks (FCVMNNs) with delay. By applying the set-valued map, the differential inclusion theory and Gronwall–Bellman integral inequalities, some sufficient criteria are established to achieve the finite time projective synchronization of the FCVMNNs. The upper bound of the settling time for synchronization is also estimated. Moreover, two numerical examples are designed to verify the correctness and effectiveness of the obtained theoretical results.

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  • 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.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:176-190
    DOI: 10.1016/j.chaos.2019.07.043
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    References listed on IDEAS

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    1. Christophe Tricaud & YangQuan Chen, 2010. "Time-Optimal Control of Systems with Fractional Dynamics," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-16, February.
    2. 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.
    3. Chang, Wenting & Zhu, Song & Li, Jinyu & Sun, Kaili, 2018. "Global Mittag–Leffler stabilization of fractional-order complex-valued memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 346-362.
    4. 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.
    5. Zhang, Lei & Song, Qiankun & Zhao, Zhenjiang, 2017. "Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 296-309.
    6. Zhang, Chunrui & Sui, Zhenzhang & Li, Hongpeng, 2017. "Equivariant bifurcation in a coupled complex-valued neural network rings," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 22-30.
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    Cited by:

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    2. Călin-Adrian Popa & Eva Kaslik, 2020. "Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
    3. He, Jin-Man & Pei, Li-Jun, 2023. "Function matrix projection synchronization for the multi-time delayed fractional order memristor-based neural networks with parameter uncertainty," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    4. Yang, Shuai & Hu, Cheng & Yu, Juan & Jiang, Haijun, 2021. "Projective synchronization in finite-time for fully quaternion-valued memristive networks with fractional-order," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    5. 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).
    6. Yihong Liu & Yeguo Sun, 2024. "Finite-Time Adaptive Synchronization and Fixed-Time Synchronization of Fractional-Order Memristive Cellular Neural Networks with Time-Varying Delays," Mathematics, MDPI, vol. 12(7), pages 1-22, April.

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