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DISTRIBUTED ADAPTIVE CONTROL FOR SYNCHRONIZATION IN DIRECTED COMPLEX NETWORKS
Yu, Wenwu1,2; Lu, Jinhu3; Yu, Xinghuo2; Chen, Guanrong4
2015
Source PublicationSIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN0363-0129
Volume53Issue:5Pages:2980-3005
AbstractThe dynamics of a complex network is generally very complicated due to the self-dynamics of the node and their interactions. Many existing conditions for reaching certain desirable dynamics in a complex network require global information of the network, for example, the spectrum of its Laplacian matrix. A challenging problem is how the network structure affects the network dynamics in a distributed way especially for directed networks, which is still unclear today. This paper investigates the impact of the network structure on a general directed complex network and develops a scheme to change the weights in a local manner to achieve a desired behavior. In particular, network synchronization is investigated, for which some distributed adaptive laws are designed on the coupling weights for reaching synchronization in a directed complex network. It is found that the directed spanning tree structure is helpful while the aggregation and circular structures are harmful for achieving network synchronization. It is also found that the designed adaptive scheme on the weight of an edge in the network depends on the relative states between the terminal node and both of its inner and outer neighboring nodes, which reveals that the local information exchange in the terminal nodes is very important for reaching synchronization in directed complex networks.
Keywordsynchronization complex network distributed adaptive control directed spanning path directed spanning tree
DOI10.1137/140970781
Language英语
Funding ProjectNational Science Fund for Excellent Young Scholars[61322302] ; 973 Project[2014CB845302] ; National Natural Science Foundation of China[61532020] ; Six Talent Peaks of Jiangsu Province of China[2014-DZXX-004] ; Fundamental Research Funds for the Central Universities of China ; Australian Research Council[DP140100544] ; Hong Kong Research Grants Council under GRF grant[CityU1109/12]
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000364455100011
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21235
Collection系统科学研究所
Corresponding AuthorYu, Wenwu
Affiliation1.Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
2.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China
4.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Yu, Wenwu,Lu, Jinhu,Yu, Xinghuo,et al. DISTRIBUTED ADAPTIVE CONTROL FOR SYNCHRONIZATION IN DIRECTED COMPLEX NETWORKS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2015,53(5):2980-3005.
APA Yu, Wenwu,Lu, Jinhu,Yu, Xinghuo,&Chen, Guanrong.(2015).DISTRIBUTED ADAPTIVE CONTROL FOR SYNCHRONIZATION IN DIRECTED COMPLEX NETWORKS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,53(5),2980-3005.
MLA Yu, Wenwu,et al."DISTRIBUTED ADAPTIVE CONTROL FOR SYNCHRONIZATION IN DIRECTED COMPLEX NETWORKS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 53.5(2015):2980-3005.
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