Existence and exponential stability of almost periodic solution for Cohen-Grossberg SICNNs with impulses

In this paper, based on the estimation of the Cauchy matrix of linear impulsive differential equations, by using Banach fixed point theorem and Gronwall-Bellman’s inequality, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays and impulses. An example is given to illustrate the main results. Keywords—Almost periodic solution; Exponential stability; Neural networks; Impulses.