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关联复杂网络建模及辨识研究
引用本文:唐圣学,陈丽,黄姣英.关联复杂网络建模及辨识研究[J].计算物理,2012,29(2):308-316.
作者姓名:唐圣学  陈丽  黄姣英
作者单位:1. 河北工业大学 电磁场与电器可靠性省部共建重点实验室, 天津市 300130;2. 北京航空航天大学 可靠性与系统工程学院, 北京 100191
基金项目:河北工业大学电磁场与电器可靠性省部共建重点实验室青年基金(201008)资助项目
摘    要:运用异质耦合拆分方法和驱动-响应模型,提出关联复杂网络节点参数和拓扑结构的辨识方法.首先,研究异质关联复杂网络建模方法,进而依据网络耦合性质不同,拆分构造了两类异质关联复杂网络.然后运用驱动-响应模型、LaSalle不变原理和Gram矩阵,设计节点系统参数和拓扑参数的自适应辨识观测器.所提的观测器能在线获取网络的节点参数、不同耦合性质的拓扑参数.最后,通过数值仿真验证所提方法的有效性.

关 键 词:复杂网络  辨识  LaSalle不变集理论  Gram矩阵  
收稿时间:2011-05-07
修稿时间:2011-10-17

Modeling and Identification of Associated Complex Networks
TANG Shengxue , CHEN Li , HUANG Jiaoying.Modeling and Identification of Associated Complex Networks[J].Chinese Journal of Computational Physics,2012,29(2):308-316.
Authors:TANG Shengxue  CHEN Li  HUANG Jiaoying
Institution:1. Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei University of Technology, Tianjin 300130, China;2. School of Reliability and System Engineering, Beihang University, Beijing 100191, China
Abstract:An identification method for node parameters and topologies of complex networks is investigated with network heterogeneously splitting in a driving-response model.Modeling of heterogeneously associated networks is presented.Two heterogeneously associated complex networks are disassembled and modeled.With LaSalle invariance theory,Gram matrix and driving-response model,adaptive observers for identifying node dynamical parameters and topological parameters of heterogeneously associated complex networks are obtained.Node parameters and coupling topology parameters can be identified on line using the proposed observers.Numerical simulations indicate that the proposed methods are effective.
Keywords:complex network  identification  LaSalle invariance theory  Gram matrix
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