Spatio-temporal synchronization of reaction–diffusion BAM neural networks via impulsive pinning control

Abstract

This paper is concerned with the synchronization of bi-directional associative memory (BAM) neural networks with diffusion and time-varying delays, in which both synchronizing and desynchronizing impulses are considered. Due to the existence of the diffusion effect in artificial neural networks, synchronization control involves the dynamical behaviors of master–slave systems both in space and time. An impulsive pinning controller is designed for realizing the spatio-temporal synchronization of neural networks. By the Lyapunov functional theory and the comparison principle, exponential synchronization criteria are established, which consist of algebraic inequalities and are easy to implement. Two numerical examples show that controlling only a portion of neurons in the slave neural network can achieve the synchronization of master–slave systems.