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Distributed optimal resource allocation of second-order multiagent systems
Deng, Zhenhua1; Liang, Shu2,3; Yu, Weiyong3
2018-09-25
发表期刊INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
卷号28期号:14页码:4246-4260
摘要In this paper, the resource allocation problems of multiagent systems are investigated. Different from the well-studied resource allocation problems, the dynamics of agents are taken into account in our problem, which results that the problem could not be solved by most of existing resource allocation algorithms. Here, the agents are in the form of second-order dynamics, which causes the difficulties in designing and analyzing distributed resource allocation algorithms. Based on gradient descent and state feedback, two distributed resource allocation algorithms are proposed to achieve the optimal allocation, and their convergence are analyzed by constructing suitable Lyapunov functions. One of the two algorithms can ensure that the decisions of all agents asymptotically converge to the exact optimal solution, and the other algorithm achieves the exponential convergence. Finally, numerical examples about the economic dispatch problems of power grids are given to verify the effectiveness of the obtained results.
关键词distributed optimization multiagent systems resource allocation second-order systems
DOI10.1002/rnc.4233
语种英语
WOS研究方向Automation & Control Systems ; Engineering ; Mathematics
WOS类目Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号WOS:000442214100010
出版者WILEY
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/31090
专题中国科学院数学与系统科学研究院
通讯作者Deng, Zhenhua
作者单位1.Cent S Univ, Sch Informat Sci & Engn, Room 117,Dianzi Bldg,Railway Campus, Changsha 410075, Hunan, Peoples R China
2.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
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GB/T 7714
Deng, Zhenhua,Liang, Shu,Yu, Weiyong. Distributed optimal resource allocation of second-order multiagent systems[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2018,28(14):4246-4260.
APA Deng, Zhenhua,Liang, Shu,&Yu, Weiyong.(2018).Distributed optimal resource allocation of second-order multiagent systems.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,28(14),4246-4260.
MLA Deng, Zhenhua,et al."Distributed optimal resource allocation of second-order multiagent systems".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 28.14(2018):4246-4260.
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