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Finite-Time Projective Synchronization of Caputo Type Fractional Complex-Valued Delayed Neural Networks

Author

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  • Shuang Wang

    (School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China)

  • Hai Zhang

    (School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China)

  • Weiwei Zhang

    (School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
    Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)

  • Hongmei Zhang

    (School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China)

Abstract

This paper focuses on investigating the finite-time projective synchronization of Caputo type fractional-order complex-valued neural networks with time delay (FOCVNNTD). Based on the properties of fractional calculus and various inequality techniques, by constructing suitable the Lyapunov function and designing two new types controllers, i.e., feedback controller and adaptive controller, two sufficient criteria are derived to ensure the projective finite-time synchronization between drive and response systems, and the synchronization time can effectively be estimated. Finally, two numerical examples are presented to verify the effectiveness and feasibility of the proposed results.

Suggested Citation

  • Shuang Wang & Hai Zhang & Weiwei Zhang & Hongmei Zhang, 2021. "Finite-Time Projective Synchronization of Caputo Type Fractional Complex-Valued Delayed Neural Networks," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1406-:d:576819
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    References listed on IDEAS

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    1. Zhang, Hai & Cheng, Jingshun & Zhang, Hongmei & Zhang, Weiwei & Cao, Jinde, 2021. "Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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