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Generalized Nash equilibrium seeking strategy for distributed nonsmooth multi-cluster game
Zeng, Xianlin1; Chen, Jie1; Liang, Shu2; Hong, Yiguang3
2019-05-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume103Pages:20-26
AbstractThis paper investigates the distributed strategy design to find generalized Nash equilibria (GNE) of multi-cluster games with nonsmooth payoff functions, a coupled nonlinear inequality constraint, and set constraints. In this game, each cluster is composed of a group of agents and is a virtual noncooperative player, who minimizes its payoff function; each agent only uses its local payoff function, local feasible set and partial information of the coupled inequality constraint, and communicates with its neighbors. To solve the GNE problem, we propose a distributed nonsmooth algorithm using a projected differential inclusion and establish the convergence analysis of the proposed algorithm. A numerical application is given for illustration. (C) 2019 Elsevier Ltd. All rights reserved.
KeywordDistributed algorithm GNE seeking Nonsmooth function Multi-cluster game Set constraint Coupled nonlinear inequality constraint
DOI10.1016/j.automatica.2019.01.025
Language英语
Funding ProjectProjects of Major International (Regional) Joint Research Program NSFC, China[61720106011] ; NSFC, China[61603378] ; NSFC, China[61621063] ; NSFC, China[61733018] ; NSFC, China[61573344] ; China Postdoctoral Science Foundation[2017M620020] ; China Postdoctoral Science Foundation[20187110051] ; Beijing Advanced Innovation Center for Intelligent Robots and Systems (Beijing Institute of Technology), China ; Key Laboratory of Biomimetic Robots and Systems (Beijing Institute of Technology), China ; Ministry of Education, Beijing, China
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000465060300003
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34408
Collection系统科学研究所
Corresponding AuthorZeng, Xianlin
Affiliation1.Beijing Inst Technol, Sch Automat, Key Lab Intelligent Control & Decis Complex Syst, Beijing 100081, Peoples R China
2.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Minist Educ, Key Lab Knowledge Automat Ind Proc, 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
Zeng, Xianlin,Chen, Jie,Liang, Shu,et al. Generalized Nash equilibrium seeking strategy for distributed nonsmooth multi-cluster game[J]. AUTOMATICA,2019,103:20-26.
APA Zeng, Xianlin,Chen, Jie,Liang, Shu,&Hong, Yiguang.(2019).Generalized Nash equilibrium seeking strategy for distributed nonsmooth multi-cluster game.AUTOMATICA,103,20-26.
MLA Zeng, Xianlin,et al."Generalized Nash equilibrium seeking strategy for distributed nonsmooth multi-cluster game".AUTOMATICA 103(2019):20-26.
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