| As a typical dynamic behavior,synchronization is an important topic in complex network research and has become a hotspot in the field of systems and control.Intermittent control can reduce the working time of the controller,and it is an effective control strategy to realize complex network synchronization,so it has been widely concerned by researchers.Different from the conventional timedependent intermittent control strategy,this paper studies the synchronization of complex network via event-dependent intermittent control.The main research contents are as follows:First,for the nonlinear coupled complex network,an event-dependent intermittent control mechanism is established.In this mechanism,the nonnegative real region is divided into three parts and whether the controller works or not is determined by the relationship between the Lyapunov function and the three parts.Based on the proposed event-dependent intermittent pinning control strategy and Lyapunov stability theory,the sufficient conditions for the synchronization of nonlinear coupled complex network are established,and the degree difference pinning selection strategy of nodes is given.The correctness of the theoretical result is verified by numerical simulation.Secondly,aiming at the problem that the gain of linear feedback control may be too large,an effective adaptive pinning control strategy is proposed by combining the event-dependent intermittent control.The adaptive eventdependent intermittent pinning controller is designed,and the adaptive updating rule is given.The Lyapunov-Krasovskii functional is constructed,and the adequacy criterion to ensure the synchronization of nonlinear coupled complex network is obtained through strict theoretical analysis.The efficacy of our results is confirmed by numerical simulation.Third,for complex network without time delay,a finite time eventdependent aperiodically intermittent synchronization control strategy is proposed.The event-dependent intermittent control relaxes the strict time constraint,and its working time is not designed in advance,but determined by the relationship between boundary function and Lyapunov function.Based on the proposed intermittent control strategy,convergence analysis of synchronization errors and synchronization criteria are given to prove that complex network can realize finite time synchronization.Numerical simulation verifies the correctness of the theoretical results.Fourthly,an event-dependent aperiodically intermittent control strategy is designed to realize finite time synchronization of time-delay complex network.In this strategy,two boundary functions are designed to divide the region into three parts,and the middle part belongs to the transition region,which can effectively avoid chattering.The Lyapunov-Krasovskii functional containing the delay integral is constructed by a suitable controller,and the finite time synchronization criterion of complex network with delay is obtained.A numerical simulation is given to illustrate the correctness of the theoretical results. |
