Consensus And Synchronization Analysis Of Impulsive Networks

In recent years,the consensus and synchronization of complex networks have been widely used in many fields and have received continuous attention from scholars at home and abroad.Among them,multiagent networks and neural networks are two common types of complex networks,which are hot topics for scholars.Impulse control strategies have been widely used in practice because of their timeliness,simplicity,low energy consumption and discontinuity.Therefore,This article mainly discusses the consensus of the multiagent networks based on impulse control and the anti-synchronization of the neural networks.This article discusses the consense of the multiagent network system and the synchronization of the neural network by introducing the impulse controller.The main content includes:(1)We introduce the impulse pinning control of nodes.By designing the time-variant impulse pinning control based on the subset of nodes,we obtain the consensus of multiagent system,our results show that the allowable range of the time-varying impulse strength depends entirely on the left eigenvector with the corresponding feature value of the map Laplacian,pinned nodes and the number of the pinned nodes and the impulse can be very sparse,the impulse interval has a lower bound.Meanwhile,as the number of control nodes increases,the multiagents reach agreement more quickly.Finally,numerical simulations are given to verify the correctness of the results obtained.(2)This chapter investigates the consensus of multiagent system under time-delay impulsive and pinning control by using an impulsive control strategy based on state modulation.Through impulsive control based on state modulation,we give the consensus criteria for pinning control under error ranking and reveal the influence of time delay on system consensus.We verify the effectiveness of the control strategy through numerical simulations.(3)This chapter is devoted to the impulsive anti-synchronization problem of delayed neural networks on time scales.Based on the time scale theory,we structure a new integral delay inequality.By the inequality and Lyapunov function method,several new sufficient conditions to ensure that the two delayed network systems reach anti-synchronization are obtained.