Adaptive Synchronization Control For Complex Networks With Time Varying Topology

Complexity and complex systems are the important topic in the 21st century.Comlex networks have been used widely in different scientific fields,such as sociology,biological sciences,physics,electric power research and so on,which have become a brilliant research topic of complexity science field.Synchronization is widespread in the various kinds of complicated network systems,which is one of the most important dynamic characteristics of complex networks.The complex dynamic network synchronization control is an important part of the complex network research.Many studies have pointed out that topological structure plays a significant role in the formation of network synchronization.so far,the great majority of research activities have been focused on static networks,whose topology and coupling configuration in the network are time invariant.However,the connection topology of the most realistic network systems generally changes in time.Therefore,we investigate the synchronization of time-varying complex networks.In the thesis,the synchronization problem of time-varying complex networks in a two-dimensional planar space has been researched based on Lyapunov stability theory and adaptive theory.The position of each node in the two-dimensional space change with the change of time.For the characteristics of the time-varying network that the coupling topology of the network change over time,decentralized adaptive controller is designed by Lapunov stability theory.The synchronization of the local and global have been obtained.The simulation results show the effectiveness of synchronization results obtained.