Analysis Of Synchronization Problems In Singular Complex Networks

With the development of science and technology,singular system theory has been widely applied in social science,human science,biology,network and so on.Due to its profound theoretical value and potential application background,more and more scholars at home and abroad are concerned about singular systems.With the deepening of the research,new ideas and research method are constantly be-ing proposed.The synchronization problem of the singular complex network with strange coupling has always been a hot topic.This paper is based on Lyapunov stability theory,linear matrix inequality method and impulsive control,the pinning control theory,and the topology nature of the network,the synchronization problem of the singular coupled complex network is studied.The main work of this paper is as follows:Chapter one introduces the background and some basic definitions of the sin-gular system.Chapter two introduces that based on Lyapunov stability theory,linear matrix inequality method and impulsive control,the synchronization of singular and com-plex networks with stochastic uncertainties is discussed.The sufficient conditions of random uncertain singular network synchronization are given.Chapter three introduces that based on Lyapunov stability theory,linear ma-trix inequality(LMI)approach,pinning control,and the topology nature of the network,singular complex networks is discussed in how to achieve synchronization state against attack.