Study On Sychronization Of Complex Network And The Realization Of Adaptive Synchronization Control

In the 21 st century, humanity has entered the network age, researching the complex network which is nature or artificial become more and more important.In recent years, with further development of the research in the complex network area, received extensive attention from physics, biology, mathematics, computer, economy and other researchers from multiple disciplines. Synchronization of complex networks has become one of hot spots of control science, and it is also one of the frontier science and technology strategic issue in twenty-first Century. Among them, the study of the whole dynamical behaviors of complex networks and the network topology structure interaction caused widespread concern. Pinning control and stability analysis of complex networks is one of the important research contents.In this paper, by means of adaptive synchronization problem mainly has studied the thoughts of complex networks. Due to the advantages of adaptive adjustment and robustness, so it is an effective tool to solve the existence of complex networks and the uncertainty of some complex factors. The details are as follows:Firstly, the basic theory of complex networks were described simply, briefly describes the topological structure and statistical properties of regular network, random network and some classical network model.Secondly, elaborated the network synchronization, chaos synchronization of the basic theory research, complete synchronization network model, using Lyapunov stability theory to find the network synchronization criterion.Thirdly, according to Chua’s circuit as a complex network of isolated node network model to design adaptive law based on the principle of adaptive control is used as the controller is added to the network system, so that the network can achieve synchronization.Finally, the dynamic equation of the network by using Simulink Matlab software simulation environment with adaptive controller to add to do simulation, analysis of simulation results, the error curve so as to verify the correctness and effectiveness of the designed adaptive controller.