Study On The Outer Synchronization And Parameter Identification Of Discrete Complex Networks

In recent years,the complex network plays a significant role in the field of natural science,social science and engineering technology etc..People have a strong interest on the complex network research,the main reason lies in the complex networks has been widely used in the real life,the research of synchronization and control of the complex networks are particularly important.This paper mainly studies the problem of synchronization of discrete complex networks with unknown parameters.In this paper,the problem of outer synchronization and parameter identification of discrete spatiotemporal networks and outer synchronization and parameter identification of discrete uncertain networks with coupled time-varying are introduced in detail.The main contributions of this dissertation is as follows:The first and two chapters focus on the complex network background,the basic characteristics and the type of a brief introduction.On the basis of this,significance of the study of network synchronization and judgement method are introduction in detail.Finally,the application of network synchronization in real life is briefly introduced.The third chapter introduces a method to make the discrete spatiotemporal networks to achieve synchronization and identify the unknown parameters in the network.First of all,based on the method of Lyapunov function to structure the corresponding Lyapunov function,and then we can obtain the form of controller which achieve the outer synchronization of networks and the range of the unknown parameters in the networks.Secondly,simulation on the above theoretical results are verified by simulation.We use the coupled map lattices to constitute a complex network to simulate,which the local function is one-dimensional Logistic mapping.The fourth chapter mainly let the synchronization of network with non time-varying expand to the situation of network with time-varying,and study the parameter identification and outer synchronization problem of the discrete uncertain network with time-varying.Based on Lyapunov theorem and Lipschitz condition,the adaptive laws of feedback strength and coupling matrix elements are obtained.Taking acoustic-optic hybrid optical bistability system as simulation examples,simulation results validate the correctness of theory analysis.The fifth chapter is the summary of the main research contents of this paper.At the same time,the further research of network synchronization and application perspective are proposed.