Exponential dissipativity of non-autonomous neural networks with distributed delays and reaction-diffusion terms

Abstract

In this paper, a class of non-autonomous neural networks with distributed delays and reaction-diffusion terms is considered. Employing the properties of diffusion operator and the techniques of inequality, we investigate positive invariant set, global exponential stability, and then obtain the exponential dissipativity of the neural networks under consideration. Our results can extend and improve earlier ones. An example is given to demonstrate the effectiveness of these results. © Springer-Verlag Berlin Heidelberg 2006.