Exponential Stability for a Class of Stochastic Reaction-Diffusion Hopfield Neural Networks with Delays

This paper studies the asymptotic behavior for a class of delayed reaction-diffusion Hopfield neural networks driven by finite-dimensional Wiener processes. Some new sufficient conditions are established to guarantee the mean square exponential stability of this system by using Poincaré’s inequality...

Full description

Bibliographic Details
Main Authors: Xiao Liang, Linshan Wang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/693163