Global exponential synchronization of nonlinearly coupled reaction-diffusion neural networks

This paper investigates the synchronization problem of nonlinearly coupled reaction-diffusion neural networks (NCRDNNs). By utilizing Lyapunov functional combined with several inequality techniques, a criterion for synchronization of NCRDNNs is presented. With designed pinning scheme, the synchronization problem of NCRDNNs is further discussed and a sufficient condition for pinning synchronization is also established. Finally, two numerical examples are given to verify the correctness and effectiveness of the theoretical results.