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《中国物理B》 2011-11
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Optimization-based topology identification of complex networks

Tang Sheng-Xue Chen Li He Yi-Gang a)Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei University of Technology,Tianjin 300130,China b)College of Electrical and Information Engineering,Hunan University,Changsha 410082,China  
In many cases,the topological structures of a complex network are unknown or uncertain,and it is of significance to identify the exact topological structure.An optimization-based method of identifying the topological structure of a complex network is proposed in this paper.Identification of the exact network topological structure is converted into a minimal optimization problem by using the estimated network.Then,an improved quantum-behaved particle swarm optimization algorithm is used to solve the optimization problem.Compared with the previous adaptive synchronization-based method,the proposed method is simple and effective and is particularly valid to identify the topological structure of synchronization complex networks.In some cases where the states of a complex network are only partially observable, the exact topological structure of a network can also be identified by using the proposed method.Finally,numerical simulations are provided to show the effectiveness of the proposed method.
【Fund】: supported by the National Natural Science Foundation for Distinguished Young Scholars of China(Grant No.50925727) and the National Natural Science Foundation of China(Grant No.60876022)
【CateGory Index】: O157.5
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【Co-references】
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