Topology identification for a class of complex dynamical networks using output variables

doi:10.1088/1674-1056/21/2/020510

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20510-020510.doi: 10.1088/1674-1056/21/2/020510

樊春霞,万佑红,蒋国平

收稿日期:2011-05-17 修回日期:2011-08-22 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 樊春霞,njfcx@126.com E-mail:njfcx@126.com

Topology identification for a class of complex dynamical networks using output variables

Fan Chun-Xia(樊春霞)^†, Wan You-Hong(万佑红), and Jiang Guo-Ping(蒋国平)

College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2011-05-17 Revised:2011-08-22 Online:2012-01-30 Published:2012-01-30
Contact: Fan Chun-Xia,njfcx@126.com E-mail:njfcx@126.com
Supported by:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 60874091 and 61104103), the Natural Science Fund for Colleges and Universities in Jiangsu Province, China (Grant No. 10KJB120001), and the Climbing Program of Nanjing University of Posts & Telecommunications, China (Grant Nos. NY210013 and NY210014).

摘要/Abstract

Abstract: A problem of topology identification for complex dynamical networks is investigated in this paper. An adaptive observer is proposed to identify the topology of a complex dynamical networks based on the Lyapunov stability theory. Here the output of the network and the states of the observer are used to construct the updating law of the topology such that the communication resources from the network to its observer are saved. Some convergent criteria of the adaptive observer are derived in the form of linear inequality matrices. Several numerical examples are shown to demonstrate the effectiveness of the proposed observer.

Key words: complex dynamical networks, topology identification, adaptive observer, output variables

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

89.75.Hc (Networks and genealogical trees)

樊春霞,万佑红,蒋国平. [J]. 中国物理B, 2012, 21(2): 20510-020510.

Fan Chun-Xia(樊春霞), Wan You-Hong(万佑红), and Jiang Guo-Ping(蒋国平) . Topology identification for a class of complex dynamical networks using output variables[J]. Chin. Phys. B, 2012, 21(2): 20510-020510.

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Topology identification for a class of complex dynamical networks using output variables

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