Synchronization of networks with time-varying couplings

【摘要】：In this paper,we present a review of our recent works on complete synchronization analyses of networks of the coupled dynamical systems with time-varying couplings.The main approach is composed of algebraic graph theory and dynamic system method.More precisely,the Hajnal diameter of matrix sequence plays a key role in investigating synchronization dynamics and the joint graph across time periods possessing spanning tree is a doorsill for time-varying topologies to reach synchronization.These techniques with proper modifcation count for diverse models of networks of the coupled systems,including discrete-time and continuous-time models,linear and nonlinear models,deterministic and stochastic time-variations.Alternatively,transverse stability analysis of general time-varying dynamic systems can be employed for synchronization study as a special case and proved to be equivalent to Hajnal diameter.

【作者单位】： School
【关键词】： Synchronization coupled dynamical system network time-varying coupling
【基金】：Supported by the National Natural Science Foundation of China(61273211,60974015,61273309) the Foundation for the Author of National Excellent Doctoral Dissertation of China(200921) the Shanghai Rising-Star Program(11QA1400400) the Marie Curie International Incoming Fellowship from the European Commission(FP7-PEOPLE-2011-IIF-302421)
【分类号】：O157.5;O231
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