Delay-dependent global asymptotic stability in neutral-type delayed neural networks with reaction-diffusion terms

Abstract

In this paper, the global uniform asymptotic stability is studied for a class of delayed neutral-type neural networks with reaction-diffusion terms. By constructing appropriate Lyapunov-Krasovskii functional and using the linear matrix inequality (LMI) approach, several sufficient conditions are obtained for ensuring the system to be globally uniformly asymptotically stable. A numerical example is given in the end of this paper to demonstrate the effectiveness and applicability of the proposed criteria. © 2008 Springer-Verlag Berlin Heidelberg.