Research On Synchronization Of Complex Networks In Back Stepping Design

Complex network and synchronization phenomenon in this space almost everywhere inthe complex network synchronization is closely related to the survival of the people, hasgreater practical significance and considerable application value. Therefore, has been that it ismany scientific fields of research focus.This article begins with the concept, principle and method of the research work andbackground knowledge about the relevant introduction. First, introduce the history and basicknowledge of complex network theory, including its characteristics, basic properties, severaltypical network structure and the research significance and present situation. Then, backstepping method introduced, including the design ideas of this method, chaos control andsynchronization principles and research significance and status quo. Meanwhile, simplyintroduce the network synchronization, including the criterion and the research significanceand present situation of its.The main part of this paper is to achieve two systems synchronize Back stepping methodto promote, single node using the method to achieve network synchronization control. Backstepping method step-by-step derivation and definition of the virtual error by the errorbetween the network node variable, while gradually construct a Lyapunov function for thestep-by-step virtual error, eventually deduced that the entire network synchronization inputcontrol. For example, the semiconductor laser modulation current chaotic system as a node inthe system through simulation experiments of the principle of verification, and draw correctExperimental results show that the method. On this basis, the Back stepping method furtherpromotion, use this method to achieve a single synchronization between the network and thenetwork node control. The same is based on Back stepping method gradually derivation anddefinition construct the step by the error variable virtual error between the network and thenetwork corresponding node, virtual Lyapunov function of the error corresponding unknownparameters node system parameters to identify the steps at the same time, until deriveultimately control network synchronization between the control input and unknownparameters of all nodes in the system identification law. For example, as the nodes of thenetwork system to NH3laser chaotic system, but the system parameters of the two networknodes were known and unknown, and the display principle experimental results effectively.