时变时滞耦合复杂网络的函数投影同步

摘要

To explore function projective synchronization and parameter identification problems of complex networks with time-varying delay coupling, time-varying delay coupled complex networks with unknown node parameter and unknown topological structure are constructed. Pinning control method is used to design the adaptive controllers of two networks, and each network and its isolated node realize the function projective synchronization. By using identification law of unknown node parameter and identification law of unknown topology structure, respectively, the node parameter and topological structure of network are identified. Finally, some numerical simulation examples are given to verify the effectiveness of the adaptive controllers and the identification laws.%为了探索时变时滞耦合复杂网络的函数投影同步及参数辨识问题，构造时变时滞耦合的节点参数未知和拓扑结构未知的2类复杂网络。利用牵制控制方法，分别设计这2类网络各自的自适应控制器，使得2类网络和其孤立节点实现函数投影同步。分别利用网络节点未知参数的辨识法则和网络未知拓扑结构的辨识法则，对网络的节点参数和拓扑结构进行辨识。最后给出数值仿真例子验证自适应控制器和辨识法则的有效性。