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Distributed Continuous-Time Algorithms for Resource Allocation Problems Over Weight-Balanced Digraphs
Deng, Zhenhua1; Liang, Shu2; Hong, Yiguang3
2018-11-01
Source PublicationIEEE TRANSACTIONS ON CYBERNETICS
ISSN2168-2267
Volume48Issue:11Pages:3116-3125
AbstractIn this paper, a distributed resource allocation problem with nonsmooth local cost functions is considered, where the interaction among agents is depicted by strongly connected and weight-balanced digraphs. Here the decision variable of each agent is within a local feasibility constraint described as a convex set, and all the decision variables have to satisfy a network resource constraint, which is the sum of available resources. To solve the problem, a distributed continuous-time algorithm is developed by virtue of differentiated projection operations and differential inclusions, and its convergence to the optimal solution is proved via the set-valued LaSalle invariance principle. Furthermore, the exponential convergence of the proposed algorithm can be achieved when the local cost functions are differentiable with Lipschitz gradients and there are no local feasibility constraints. Finally, numerical examples are given to verify the effectiveness of the proposed algorithms.
KeywordDistributed optimization multiagent systems nonsmooth analysis projected dynamical systems resource allocation weight-balanced digraphs
DOI10.1109/TCYB.2017.2759141
Language英语
Funding ProjectNational Key Research and Development Program of China[2016YFB0901902] ; NSFC[61733018] ; NSFC[61333001] ; NSFC[61573344]
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000447825400008
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31397
Collection系统科学研究所
Affiliation1.Cent S Univ, Sch Informat Sci & Engn, Changsha 410004, Hunan, Peoples R China
2.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Deng, Zhenhua,Liang, Shu,Hong, Yiguang. Distributed Continuous-Time Algorithms for Resource Allocation Problems Over Weight-Balanced Digraphs[J]. IEEE TRANSACTIONS ON CYBERNETICS,2018,48(11):3116-3125.
APA Deng, Zhenhua,Liang, Shu,&Hong, Yiguang.(2018).Distributed Continuous-Time Algorithms for Resource Allocation Problems Over Weight-Balanced Digraphs.IEEE TRANSACTIONS ON CYBERNETICS,48(11),3116-3125.
MLA Deng, Zhenhua,et al."Distributed Continuous-Time Algorithms for Resource Allocation Problems Over Weight-Balanced Digraphs".IEEE TRANSACTIONS ON CYBERNETICS 48.11(2018):3116-3125.
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