Predefined-Time Synchronization Control for Uncertain Complex Networks

This article concentrates on the predefined-time synchronization problem for uncertain complex networks (CNs) with identical nodes. A predefined-time Lyapunov stability characterization method is firstly proposed, based on which the continuous predefined-time controller is dexterously designed. Besides, some sufficient conditions in the form of linear matrix inequalities are established to guarantee the addressed CN realizing the synchronization within the predefined-time. The predefined-time considered here can be specified in advance according to the actual requirements, which is independent of the system initial conditions, the system parameters, and the other controller parameters. In addition, the network parameter uncertainties, which satisfying the norm bounded constraint, are also taken into account to describe more actual networks. Finally, a numerical example is presented to demonstrate effectiveness of the proposed control scheme.