Periodically intermittent controlling for finite-time synchronization of complex dynamical networks

Abstract

In this paper, we consider finite-time synchronization between two complex dynamical networks by using periodically intermittent control. Based on finite-time stability theory, some novel and effective finitetime synchronization criteria are derived by applying stability analysis technique. The derivative of the Lyapunov function V (t) is smaller than βV (t) (β is an arbitrary positive constant) when no controllers are added into networks. This means that networks can be selfsynchronized without control inputs. As a result, the application scope of synchronization greatly enlarged. Finally, a numerical example is given to verify the effectiveness and correctness of the synchronization criteria.