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Event-Triggered Anti-Synchronization of Fuzzy Delay-Coupled Fractional Memristor-Based Discrete-Time Neural Networks

Author

Listed:
  • Chao Wang

    (Shandong Electric Power Engineering Consulting Institute Corp., Ltd., Jinan 250013, China)

  • Chunlin Gong

    (School of Computing and Artificial Intelligence, Shandong University of Finance and Economics, Jinan 250014, China)

  • Hongtao Yue

    (Shandong Electric Power Engineering Consulting Institute Corp., Ltd., Jinan 250013, China)

  • Yin Wang

    (School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China)

Abstract

This paper investigates the anti-synchronization problem of delay-coupled fractional memristor-based discrete-time neural networks within the T-S fuzzy framework via an event-triggered mechanism. First, fractional-order, coupling topology, and T-S fuzzy rules are incorporated into the discrete-time network model to enhance its applicability. Subsequently, a T-S fuzzy-based event-triggered mechanism is designed, which determines control updates by evaluating whether the system state satisfies predefined triggering conditions, thereby significantly reducing the communication load. Moreover, using diverse fuzzy rules enhances controller flexibility and accuracy. Finally, Zeno behavior is proven to be absent. Using the Lyapunov direct method and inequality techniques, we derive sufficient conditions to ensure anti-synchronization of the proposed system.Numerical simulations confirm the effectiveness of the proposed control scheme and support the theoretical results.

Suggested Citation

  • Chao Wang & Chunlin Gong & Hongtao Yue & Yin Wang, 2025. "Event-Triggered Anti-Synchronization of Fuzzy Delay-Coupled Fractional Memristor-Based Discrete-Time Neural Networks," Mathematics, MDPI, vol. 13(12), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:12:p:1935-:d:1676042
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    References listed on IDEAS

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    1. Thabet Abdeljawad & Ferhan M. Atici, 2012. "On the Definitions of Nabla Fractional Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Cui, Xueke & Li, Hong-Li & Zhang, Long & Hu, Cheng & Bao, Haibo, 2023. "Complete synchronization for discrete-time fractional-order coupled neural networks with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Thabet Abdeljawad & Ferhan M. Atici, 2012. "On the Definitions of Nabla Fractional Operators," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, October.
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