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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 |
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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.
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Received: 17 May 2011
Revised: 22 August 2011
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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89.75.Hc
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(Networks and genealogical trees)
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| Fund: 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). |
Corresponding Authors:
Fan Chun-Xia,njfcx@126.com
E-mail: njfcx@126.com
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Cite this article:
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 2012 Chin. Phys. B 21 020510
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