Existence and exponential stability of periodic solution for impulsive Cohen–Grossberg neural networks with time-varying delays

Abstract

This paper is concerned with the existence and global exponential stability of periodic solution for impulsive Cohen–Grossberg neural networks with periodic coefficients and time-varying delays. Some novel criteria on the existence and global exponential stability of periodic solution are derived by using impulsive differential inequality technique and the Banach fixed point theorem. The results obtained improve and extend a few of recent literature in some situations. Two examples with numerical simulations are given to demonstrate the efficiency of proposed methods.