Research On Synchronization Control Of Complex Network System

Complex network synchronization behavior can explain many complex phenomena in nature,which is of great significance to human society.Moreover,the research on the synchronization of complex networks is also a hot topic in the field of control.It is of great practical and theoretical significance to study the synchronization behavior control of complex network system to eliminate or enhance its synchronization.In this paper,we study the synchronization of complex networks,and research on the synchronization control of several kinds of continuous-time complex networks.Based on the stability theory,matrix theory,control theory,differential equation theory,graph theory and so on,State feedback control method,adaptive control method and the control method of restraint are used to study the synchronization control problems of these complex network systems.Some judgment criteria of network synchronization are obtained.Simultaneously numerical simulation verifies the validity of the theoretical results obtained.The main research work of this paper is as follows:Aiming at the problem of synchronization of linear dissipatively coupled complex networks,a simple decision criterion without any computational tools is given,which is easier to compute than the matrix inequality method which is often used.On this basis,according to the huge amount of information in complex network system,a method of using scalar signal as a coupling variable is proposed.This approach not only simplifies the coupling between network nodes'state variables in complex network systems,but also saves the channel resources used in the transmission of signals,which has obvious economic significance.The problem of local synchronization and global synchronization of complex networks with uncertainties and time-delay coupling properties is studied.The Lyapunov stability theory is applied to design a simpler adaptive feedback controller to synchronize complex network systems with uncertain time-delay coupling.At the same time,the external coupling structure of complex network system has not made any restrictions on symmetry and reducibility in the whole process of design,nor does it require that the internal coupling relationship between nodes be consistent.Considered the problem of de-synchronization of linear dissipatively coupled complex networks.Aiming at the driving and response system with constant coupling strength,a sufficient condition for synchronization is obtained by using the method of pinning control.At the same time,according to the influence of the coupling strength of the system on the performance,a drive-and-response system of adaptive coupling variables is designed to realize synchronization control.The conclusions obtained can weigh the relationship between the number of pinning controllers added,the gain of the controller and the coupling strength,and have a good practical significance in engineering design.Considered the problem of the pining synchronization of the complicated network with outside interference.There are various kinds of interference factors in practical complex networks,such as random forces in physics,noise generated in experiments,etc.,which all may affect network synchronization.In this paper,we study the synchronization behavior of state-coupled complex networks in the presence of external disturbances by using the method of pining control and H_?control.By using the Lyapunov stability theory,we give the judgment criteria for the entire network to reach the synchronous state under the assumption.