Synchronization And Consensus Analysis Of Heterogeneous Complex Networks

In recent decades,complex networks have become a hot topic due to their wide applications in real life.Among the studies of collective behaviors of complex networks,synchronization and consensus have been paid much attention to.Because of the individual diversity,the system disturbance,and the parameters uncertainty,heterogeneous complex networks are very common in the real situations.For three types of heterogeneous complex systems,this thesis analyzes synchronization and consensus under the cases that the nodes have different dynamics,the topology structure is disconnectedly switching or the complex networks do not have any external controls.The main contents of this thesis are as follows:Based on the nonidentical harmonic oscillators,this thesis firstly establishes a heterogeneous system coupled of the nonidentical harmonic oscillators.By introducing a leader oscillator and applying the pinning control,this thesis proves that the coupled heterogeneous networks of harmonic oscillators can reach quasi-synchronization(that is,the state of each follower oscillator can synchronize with the state of the leader oscillator within a bounded range).Meanwhile,sufficient conditions and the estimation of quasi-synchronization errors of the coupled heterogeneous networks are also derived.For the second-order leader-following nonlinear heterogeneous multi-agent systems,a virtual leader agent is introduced and sampled protocols are designed to realize leader-following consensus.By adopting the Lyapunov-Krasovskii method,sufficient criteria are obtained to guarantee the leader-following quasi-consensus in heterogeneous nonlinear multi-agent systems.Besides,the error systems between the leader and each follower eventually converge to a bounded convergence domain.For a class of heterogeneous complex networks,synchronization is analyzed under the switching sequencially connected networks and the jointly connected networks.This thesis provides sufficient conditions for quasi-synchronization of heterogeneous complex networks by applying an unusual method and without any external controls.Besides,the upper bound of the quasisynchronization error is also presented.All the conclusions are verified by the simulation results.