Finite-time synchronization for nonlinearly coupled networks with time-varying delay

In this paper, nonlinearly coupled network with time-varying delay is considered. By using a class of simple discontinuous state feedback controllers, criteria for guaranteeing the finite-time synchronization of the complex dynamical network are derived based on the new analysis techniques. It's worth pointing out that the setting time to achieve synchronization is estimated, which depends on not only the initial value but the time-varying delay. Finally, several examples are presented to show the effectiveness and correction of the theoretical results we obtained in this paper.