Exponential Stability of Stochastic Reaction-diffusion Neural Network with Time-varying Delays

This paper discusses the moment exponential stability of a stochastic reaction-diffusion Hopfield neural network with time-varying delays.Using the Lyapunov functional method,the Ito formula of stochastic partial differential equation and a skill of differential inequality with delays,we prove the moment exponential stability of the equilibrium for the stochastic reaction-diffusion Hopfield neural network with time-varying delays.The algebraic criterion of moment exponential stability of the equilibrium for this neural network is obtained.A new result is derived and an example is given to illustrate the main theoretical result.