Existence and stability of periodic solution for impulsive Hopfield cellular neural networks with time delays

Abstract

As an important tool to study practical problems of biology, engineering and image processing, the cellular neural networks (CNNs) has caused more and more attention. Some interesting results about the existence of solution for cellular neural networks have been obtained. In this paper, by means of iterative analysis, the existence of periodic solution and the uniform stability of the equilibrium point of impulsive Hopfield cellular neural networks with time delays are considered. Some new results are obtained. © 2011 Springer-Verlag Berlin Heidelberg.