Synchronization of Coupled Neural Networks via an Event-Dependent Intermittent Pinning Control

Abstract

This article reports the synchronization of coupled neural networks (CNNs) by devising an event-dependent intermittent pinning controller. In this article, the Lyapunov–Krasovskii functional (LKF) is taken as an important element of the controller. Different from the preset technique in common intermittent control, the work/rest time is governed by an event-dependent intermittent mechanism which is described by the LKF and three partitions of non-negative real region. More specifically, the pinning controller is imposed on the CNNs only when the trajectory of LKF runs into the presupposed working regions. Under the proposed framework of intermittent control, a simple sufficient condition is formulated to guarantee the synchronization of CNNs. A numerical example is finally provided to demonstrate the validity of the theoretical results.