Research On Synchronization Of Complex Networks In Sliding Mode Control Theory

At present, the related research of complex networks is one of the hotspot in many international and domestic research, it is because of its application in various fields. Over the years, scholars have made fruitful research of complex network, and the scientific research is significant.In this paper,it is based on sliding mode theory to analyze the synchronization of uncertainty networks and time delay networks,and some beneficial results are obtained. The main content of this paper includeFirstly, this paper briefly introduces the definition, basic characteristics of network and its application in various fields,the purpose is to illustrate the importance of network theory research.Secondly, this paper introduces the related hot issues, including the research significance, the existing synchronization methods and criterion. On this basis, by means of the theory of sliding mode, synchronization of the networks with the unknown parameters and different structure is analyzed in the third part.By using Lyapunov theorem and creating the appropriate controller,synchronization of the complex network and the single system with different structure is achieved.It further analysis the impact of the parameters on the synchronous process and stability,which can be certain or uncertain. Take the double helix chaos system as the target system and use chuas circuit state equation to create star network,in order to carry on the simulation. By introducing proper integral item, the reaching law parameters are adjusted to eliminate interference, then ideal synchronization is obtained. The fourth part combines sliding mode theory, and explores the delay network synchronization.By using the Lyapunov theorem and designing reasonable structure of the controller,it realizes delay synchronizationof the chain network.Take Van der Pol equation as the node equation to create chain network, principles are verified through the simulation. The study found that the size of the control parameters can effectively shorten the time,which is needed for the network to achieve synchronization state, and it makes its trajectory move towards sliding mode surface more quickly.