Synchronization of Chaotic Delayed Fuzzy Neural Networks under Impulsive and Stochastic Perturbations

and Applied Analysis 3 (A 1 ) f i is globally Lipschitz continuous, that is, for any i ∈ N, there exists nonnegative constant L i such that 󵄨󵄨󵄨fi (u) − fi (v) 󵄨󵄨󵄨 ≤ L i |u − v| for u, v ∈ R. (3) (A 2 ) For any k ∈ N, there is a nonnegative constant η k such that 󵄨󵄨󵄨u + Iik (u) − v − Iik (v) 󵄨󵄨󵄨 ≤ ηk |u − v| for u, v ∈ R, i ∈ N. (4) Let (2) be the drive system, and let the response system with random noise be described by dy i (t) = [ [ −c i y i + n ∑ j=1 a ij f j (y j ) + n ∑