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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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