Exponential synchronization for inertial coupled neural networks under directed topology via pinning impulsive control

This article focuses on the exponential synchronization of inertial coupled neural networks (ICNNs) with time-varying delays. An extended Halanay differential inequality, matrix decomposition theory and the average impulsive interval approach are used to derive some sufficient conditions. Furthermore, in the view of directed topology, the pinning impulsive control is designed so that the dynamical networks can achieve the exponential synchronization. Finally, some numerical examples are given to illustrate our theoretical results.