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Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation
Liang, Shu1; Zeng, Xianlin2; Hong, Yiguang3
2018-09-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume95Pages:222-228
AbstractIn this paper, we consider distributed optimization design for resource allocation problems over weight balanced graphs. With the help of singular perturbation analysis, we propose a simple sub-optimal continuous-time optimization algorithm. Moreover, we prove the existence and uniqueness of the algorithm equilibrium, and then show the convergence with an exponential rate. Finally, we verify the sub-optimality of the algorithm, which can approach the optimal solution as an adjustable parameter tends to zero. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordDistributed optimization Resource allocation Sub-optimality Weight-balanced graph Singular perturbation
DOI10.1016/j.automatica.2018.05.013
Language英语
Funding ProjectNational Key Research and Development Program of China[2016YFB0901902] ; NSFC[61733018] ; NSFC[61333001] ; NSFC[61573344] ; NSFC[61603378] ; Fundamental Research Funds for the China Central Universities of USTB[FRF-TP-17-088A1]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000441853900024
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31120
Collection系统科学研究所
Corresponding AuthorHong, Yiguang
Affiliation1.Univ Sci & Technol Beijing, Key Lab Knowledge Automat Ind Proc, Minist Educ, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
2.Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
3.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Liang, Shu,Zeng, Xianlin,Hong, Yiguang. Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation[J]. AUTOMATICA,2018,95:222-228.
APA Liang, Shu,Zeng, Xianlin,&Hong, Yiguang.(2018).Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation.AUTOMATICA,95,222-228.
MLA Liang, Shu,et al."Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation".AUTOMATICA 95(2018):222-228.
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