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

Lingao Luo, Lulu Li and Wei Huang

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 219, issue C, 491-504

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.

Keywords: Fractional-order switched systems; Mode-dependent; Event-triggered delayed impulsive control; Fractional-order Hopfield neural network (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:219:y:2024:i:c:p:491-504

DOI: 10.1016/j.matcom.2023.12.035

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