Stability of Fractional Reaction-Diffusion Memristive Neural Networks Via Event-Based Hybrid Impulsive Controller

• DOI: 10.1007/s11063-024-11509-z
• Publication Date: 2024-03-02T04:29:26Z
• Authors: Huiyu Wang; Shutang Liu; Xiang Wu; Jie Sun; Wei Qiao
• Keywords: Reaction–diffusion system; Complex system

Abstract This article explores the asymptotic stability of fractional delayed memristive neural networks with reaction-diffusion terms. A novel hybrid impulsive controller triggered by a specific event is proposed to stabilize network, thereby replacing conventional approach modifying network parameters. The proven prevent Zeno behavior. Sufficient conditions for terms are established through Lyapunov direct method, inequality techniques, Green’s theorem and impulse analysis. Furthermore, theoretically shown be more resource-efficient than one, our work extends existing research make it suitable practical application such as pattern recognition, image processing so on. Finally, an example provided illustrate validity findings.