LAUSR

This paper considers the synchronization of a class of delayed and nonlinearly coupled complex networks that are subject to discontinuous dynamics and exogenous disturbances. One distinguishing feature of this class of complex networks is the non‐continuous nature of their node dynamics so that the usual Lipschitz and other relative conditions are not satisfied and that the existence of continuously differentiable solutions is not guaranteed. Both nondelayed and delayed networks in this class are considered. Some sufficient criteria of synchronization are obtained under a new controller using the Lyapunov stability theory of nonsmooth dynamical systems. Two numerical simulations are given to illustrate our main theoretical findings.