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Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects

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  • Luo, Lingao
  • Li, Lulu
  • Huang, Wei

Abstract

This paper examines the asymptotic stability of nonlinear fractional-order switched systems (FOSSs) under a mode-dependent event-triggered delayed impulsive mechanism (MDETDIM). The impulses and switched signals are asynchronous. A novel MDETDIM is proposed to determine the impulsive sequence, which can prevent the Zeno phenomenon. Lyapunov-based asymptotic stability conditions for general FOSSs are derived using the proposed MDETDIM. The theoretical results are then applied to a fractional-order Hopfield neural network (FOHNN) with event-based delayed impulses and switching effects. Two examples are provided to demonstrate the effectiveness of our proposed results.

Suggested Citation

  • Luo, Lingao & Li, Lulu & Huang, Wei, 2024. "Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 491-504.
    • Handle: RePEc:eee:matcom:v:219:y:2024:i:c:p:491-504
    DOI: 10.1016/j.matcom.2023.12.035
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    References listed on IDEAS

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    1. Tan, Hailian & Wu, Jianwei & Bao, Haibo, 2022. "Event-triggered impulsive synchronization of fractional-order coupled neural networks," Applied Mathematics and Computation, Elsevier, vol. 429(C).
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    5. Grienggrai Rajchakit & Anbalagan Pratap & Ramachandran Raja & Jinde Cao & Jehad Alzabut & Chuangxia Huang, 2019. "Hybrid Control Scheme for Projective Lag Synchronization of Riemann–Liouville Sense Fractional Order Memristive BAM NeuralNetworks with Mixed Delays," Mathematics, MDPI, vol. 7(8), pages 1-23, August.
    6. Shu, Yadong & Li, Bo, 2022. "Existence and uniqueness of solutions to uncertain fractional switched systems with an uncertain stock model," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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    8. Grienggrai Rajchakit & Pharunyou Chanthorn & Pramet Kaewmesri & Ramalingam Sriraman & Chee Peng Lim, 2020. "Global Mittag–Leffler Stability and Stabilization Analysis of Fractional-Order Quaternion-Valued Memristive Neural Networks," Mathematics, MDPI, vol. 8(3), pages 1-29, March.
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    Cited by:

    1. Abulajiang Aili & Shenglong Chen & Sibao Zhang, 2024. "Event-Triggered Synchronization of Coupled Neural Networks with Reaction–Diffusion Terms," Mathematics, MDPI, vol. 12(9), pages 1-16, May.
    2. Chongyang Liu & Zhaohua Gong & Yonghong Wu & Benchawan Wiwatanapataphee & Kok Lay Teo, 2025. "Dynamic Optimization of Nonlinear Fractional Impulsive Switched Systems," Journal of Optimization Theory and Applications, Springer, vol. 205(3), pages 1-23, June.
    3. Xing, Ying & He, Xinyi & Li, Xiaodi, 2025. "Disturbance observer-based event-triggered impulsive control for nonlinear systems with unknown external disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 263-271.

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