Finite-time Synchronization of Complex Dynamic Networks with Nonlinear Uncertainty and Output Coupling

In this paper, the problem of finite-time synchronization is investigated for a class of complex dynamic networks with nonlinear uncertainty and output coupling. For this case, two control strategies of output feedback control and adaptive control are adopted respectively. By using the Lyapunov stability theorem, sufficient conditions for finite-time synchronization of complex dynamic networks are obtained, and it is proved that the error dynamic system can reach the equilibrium point in finite time theoretically. Finally, the validity of the conclusion is proved by numerical simulations.