Existence and global [formula omitted]-exponential stability of periodic solution for impulsive stochastic neural networks with delays

Abstract

In this paper, we consider a class of impulsive stochastic neural networks with delays. By establishing new integral inequalities and using the properties of spectral radius of nonnegative matrix, some sufficient conditions for the existence and global p-exponential stability of periodic solution for impulsive stochastic neural networks with delays are given. Our results imply that under the appropriate linear periodic impulsive perturbations, the impulsive stochastic neural networks with delays preserve the original periodic property of the nonimpulsive stochastic neural networks with delays. An example is provided to show the effectiveness of the theoretical results.