不确定复杂网络的广义矩阵投影同步  

Generalized Matrix Projective Synchronization of Uncertain Complex Networks

作　　者：巩长忠[1] 李飞燕[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《复杂系统与复杂性科学》2015年第3期53-60,共8页Complex Systems and Complexity Science

基　　金：中央高校基本科研业务费(ZXH2012B003;ZXH2012K002);天津市自然科学基金青年项目(13JCQNJC04400)

摘　　要：基于Lyapunov稳定性理论,研究了不确定复杂网络的广义矩阵投影同步,每个网络的拓扑结构不恒等且维数也不同。在节点参数未知的情况下,通过设计自适应控制器实现了两个不同的变时滞复杂网络的广义矩阵投影同步,未知参数可以辨识。此外,对于未知的驱动网络及给定的广义矩阵,构造了实现广义矩阵投影同步的响应网络,不仅可以对该驱动网络进行同步控制达到预期效果,而且能对未知参数进行辨识确定网络结构。最后数值仿真验证了方法的有效性和可行性。The generalized matrix projective synchronization of uncertain complex networks is in- vestigated in this paper based on the Lyapunov stability theory, where each network may have non-identical topological structure and different dimensions. When parameters of nodes are uncer- tain, two different complex networks with time-varying delay coupling can realize GMPS by con- structing an adaptive controller. In addition, for the unknown drive network and a given general- ized matrix, the response network is constructed to realize GMPS. It can not only control the network to achieve the synchronization but also identify the unknown parameters to affirm the structure of the network. Finally, illustrative examples are presented to demonstrate the applica- tion of the theoretical results.

关 键 词：不确定复杂网络 广义矩阵投影同步 变时滞 LYAPUNOV稳定性 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]