拓扑辨识一类新的复杂动态网络  

Topological Identification of a New Class of Complex Networks

作　　者：张文娟[1] 丁全红[1] 俞建宁[1] 张建刚[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《洛阳理工学院学报（自然科学版）》2013年第1期65-69,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：甘肃省自然科学基金项目(1010RJZA066;1010RJZA067)

摘　　要：复杂网络是复杂系统研究中的一个热点问题。时滞现象在现实网络中普遍存在,复杂网络中不仅节点之间的相互作用会出现时滞现象,节点动力学也会出现时滞。而社团结构在复杂网络中也极其重要,当信息从一个社团传到另一个社团时也会出现时滞现象。因此,根据L aSalle不变性原理和网络自适应控制技术,针对由相同节点构成的具有社团结构和节点时滞的复杂动态网络,提出了一种辨识未知拓扑结构的自适应控制方法,通过数值仿真验证了所提方法的正确性和有效性。Complex network is a heated issue in the study of complex systems. Delay phenomenon is not rare for real networks, not only in the interaction between nodes, but also in node dynamics. And community structures in complex networks are also extremely important. When the information is transited from one community to another, the time-delay also takes place. Consequently, based on LaSalles invariance principle and the network adaptive control technology, an adaptive control method to identify the unknown topological structure is proposed for complex dynamical network with communities and node time delay constituted by the same nodes. Finally, numerical simulations are provided to verify the correctness and effectiveness of the proposed scheme.

关 键 词：复杂网络 拓扑辨识 社团结构 节点时滞 

分 类 号：O322[理学—一般力学与力学基础] N94[理学—力学]