Study On Synchronization Of Uncertain Spatiotemporal Network Based On Adaptive Technology

With the development of The Times and the progress of science and technology,the study on the synchronization of complex networks is getting deeper and deeper.In the process of network synchronization,a large number of control schemes emerge,such as sliding mode control,active control,impulse control,passive control and adaptive control.Among them,adaptive technology is favored by scholars because it can realize network synchronization without knowing all network parameters in advance.In this thesis,the adaptive technique is used to study the synchronization of continuous uncertain spatiotemporal networks by function projection and discrete uncertain spatiotemporal networks.The specific work is as follows:Firstly,the background of complex networks is briefly introduced,and the basic concepts,models,characteristics and nonlinear dynamics of complex networks are systematically described.Secondly,the judgment method of network synchronization,some common complex network synchronization types and synchronization control methods are introduced,and the characteristics and main research aspects of adaptive technology are emphasized.On this basis,the problem of function projection synchronization for uncertain spatiotemporal networks is studied by using adaptive technique.A reasonable Lyapunov function is designed and a suitable network controller is constructed.At the same time,the coupling matrix elements of the response network are identified effectively.FHN model is selected to construct the target system and response network for numerical simulation,which verifies the rationality and universality of the synchronization principle.Furthermore,the synchronization problem of discrete uncertain delay networks with different number of nodes is studied by using adaptive technique.Based on the stability theory of Lyapunov,a reasonable coupling controller is designed,the synchronization conditions of uncertain delay networks are obtained,and the identification rules of unknown parameters are determined.In addition,the one-dimensional Logistic network model is used for simulation to verify the rationality of the designed synchronization scheme and identify the unknown parameters in the network equation effectively.