Exponential Synchronization of Coupled Reaction-Diffusion Neural Networks via Event-Triggered Impulsive Control

This study addresses the exponential synchronization problem for coupled reaction-diffusion neural networks (CRDNNs) through a novel event-triggered impulse control scheme. The proposed approach offers significant advantages over conventional fixed-time-triggered impulsive methods, demonstrating both improved efficiency and reduced resource consumption in achieving network. By utilizing Lyapunov methods and graph theory, synchronization conditions for the CRDNNs are established and rigorous proof of absence of Zeno behavior is provided. From a practical standpoint, to simplify calculations, we present a simplified model along with the corresponding corollary under specific conditions.