Robust stability for stochastic interval delayed Hopfield neural networks

摘要

A type of stochastic interval delayed Hopfield neural networks as du(t) = [-AIu(t) + WIf(t, u(t)) +WI^τfτ(uτ(t))] dt + a(t,u(t),u(t)) dw(t) on t≥0 with initiated value u(s) =ξ(s)on -τ^-≤s≤0 has been studied. By using the Razumikhin theorem and Lyapunov functions, some sufficient conditions of their globally asymptotic robust stability and global exponential stability on such systems have been given. All the results obtained are generalizations of some recent ones reported in the literature for uncertain neural networks with constant delays or their certain cases.