Existence and exponential stability of periodic solution for stochastic Hopfield neural networks on time scales

Abstract

In this paper, by using the contraction mapping theorem and Gronwall׳s Inequality on time scales, we establish some sufficient conditions on the existence and exponential stability of periodic solutions for a class of stochastic neural networks on time scales. Moreover, we present an example to illustrate the feasibility of our results and to show that the continuous-time neural network and its discrete-time analogue have the same dynamical behaviors.