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Asymptotic synchronization of second-fractional -order fuzzy neural networks with impulsive effects

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  • Peng, Qiu
  • Jian, Jigui

Abstract

Without transforming the second-fractional-order terms to the first-fractional-order, this paper focuses on the global asymptotic synchronization (GAS) of second-fractional-order fuzzy neural networks (SFOFNNs) with delay and impulsive effects in the Caputo fractional derivative (CFD) sense. Based on the fractional Lyapunov functional approach and applying the impulsive fractional-order delayed comparison principle, several effective criteria in terms of algebraic inequalities are directly obtained to ensure the GAS of two SFOFNNs by proposing two different types of control schemes with the fractional derivative of states. Compared with the current variable substitution methods, the GAS is firsthand discussed by presenting a few new fractional Lyapunov functionals. Finally, two numerical simulations are given to demonstrate the validity of the derived findings.

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  • Peng, Qiu & Jian, Jigui, 2023. "Asymptotic synchronization of second-fractional -order fuzzy neural networks with impulsive effects," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000516
    DOI: 10.1016/j.chaos.2023.113150
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    References listed on IDEAS

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    1. Peng, Qiu & Jian, Jigui, 2023. "Synchronization analysis of fractional-order inertial-type neural networks with time delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 62-77.
    2. Zhou, Ya & Wan, Xiaoxiao & Huang, Chuangxia & Yang, Xinsong, 2020. "Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    3. Chen, Boshan & Chen, Jiejie, 2015. "Razumikhin-type stability theorems for functional fractional-order differential systems and applications," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 63-69.
    4. Wang, Fei & Zheng, Zhaowen & Yang, Yongqing, 2021. "Quasi-synchronization of heterogenous fractional-order dynamical networks with time-varying delay via distributed impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Wang, Qi & Ma, Jing & Yu, Siyuan & Tan, Liying, 2020. "Noise detection and image denoising based on fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
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    Cited by:

    1. Wang, Shasha & Jian, Jigui, 2023. "Predefined-time synchronization of incommensurate fractional-order competitive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Wang, Shasha & Jian, Jigui, 2023. "Predefined-time synchronization of fractional-order memristive competitive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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