Output synchronization for fractional-order reaction–diffusion coupled neural networks with output coupling via event-triggered impulsive control

Haibo Bao and Xuelian Li

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: In this paper, the output synchronization for a type of fractional-order reaction–diffusion coupled neural networks (FRDCNNs) with output coupling is considered. For the purpose of enhancing effectiveness of the information transmission and saving communication resources, an event-triggered impulsive controller (ETIC) is established, where the impulsive inputs is based on a predetermined event-triggered scheme. Then, based on fractional calculus theory, and choosing appropriate Lyapunov function, the sufficient criterion is established using some inequality techniques to ensure output synchronization of FRDCNNs with output coupling. Furthermore, it is also proved that the Zeno phenomenon is excluded under designed ETIC. Eventually, numerical simulations are presented to verify the viability of newly constructed ETIC and the rightness of acquired theoretical findings.

Keywords: Output synchronization; Fractional-order; Event-triggered impulsive control; Reaction–diffusion; Coupled neural networks (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003474

DOI: 10.1016/j.physa.2025.130695

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