Adaptive exponential synchronization of stochastic delay neural networks with reaction-diffusion

Abstract

In the paper, adaptive exponential synchronization scheme for a class of reaction-diffusion neural networks with continuously distributed delays and stochastic influence are considered. An adaptive synchronization controller is derived to achieve the exponential synchronization of the drive-response structure of neural networks. Lyapunov stability theory, stochastic Fubini theorem and semimartingale theorem are used in our approach. It is shown that the approaches developed here extend and improve the ideas presented in recent literatures. © 2009 Springer Berlin Heidelberg.