Finite-time outer synchronization of two general complex dynamical networks with hybrid coupling based on pinning control

This paper is devoted to studying the finite-time outer synchronization for two delayed dynamical networks with time-varying delay and mixed coupling by the pinning control strategy. The Lyapunov stability theory and linear matrix inequality technique are employed to obtain some finite-time synchronization criteria delay-dependent by adding linear feedback controllers to a part of the nodes. Finally, numerical examples are given to demonstrate the effectiveness of the proposed synchronous criteria.