Impulsive Synchronization of Typical Hopfield Neural Networks

Abstract

This paper is mainly concerned with the issues of impulsive control for synchronization of Hopfield neural networks. By using stability theory of impulsive dynamical systems, some simple yet generic criteria are derived ensuring the robust synchronization of Hopfield neural networks. Moreover, the approaches developed here further extend the techniques presented in recent literature. To this end, the theoretical results are applied to a typical delayed chaotic Hopfield neural networks and an autonomous chaotic Hopfield neural networks, and numerical simulations also demonstrate the effectiveness and feasibility of the proposed technique.