DISTRIBUTED CONTINUOUS-TIME ALGORITHMS FOR NONSMOOTH EXTENDED MONOTROPIC OPTIMIZATION PROBLEMS | |
Zeng, Xianlin1; Yi, Peng2; Hong, Yiguang3; Xie, Lihua4 | |
刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
2018 | |
卷号 | 56期号:6页码:3973-3993 |
关键词 | extended monotropic optimization distributed algorithms nonsmooth convex functions decomposition methods differential inclusions |
ISSN号 | 0363-0129 |
DOI | 10.1137/17M1118609 |
英文摘要 | This paper studies distributed algorithms for the nonsmooth extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered nonsmooth objective function is the sum of local objective functions assigned to agents in a multiagent network, with local set constraints and affine equality constraints. Each agent only knows its local objective function, local set constraint, and the information exchanged between neighbors. To solve the constrained convex optimization problem, we propose two novel distributed continuous-time subgradient-based algorithms, with projected output feedback and derivative feedback, respectively. Moreover, we prove the convergence of proposed algorithms to the optimal solutions under some mild conditions and analyze convergence rates, with the help of the techniques of variational inequalities, decomposition methods, and differential inclusions. Finally, we give an example to illustrate the efficacy of the proposed algorithms. |
资助项目 | NSFC[61603378] ; NSFC[61733018] ; NSFC[61573344] ; National Key Research and Development Program of China[2016YFB0901900] ; China Postdoctoral Science Foundation[2017M620020] ; China Postdoctoral Science Foundation[2018T110051] |
WOS研究方向 | Automation & Control Systems ; Mathematics |
语种 | 英语 |
出版者 | SIAM PUBLICATIONS |
WOS记录号 | WOS:000453785900003 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31820] |
专题 | 系统科学研究所 |
通讯作者 | Zeng, Xianlin |
作者单位 | 1.Beijing Inst Technol, Sch Automat, Key Lab Intelligent Control & Decis Complex Syst, Beijing 100081, Peoples R China 2.Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA 3.Univ Chinese Acad Sci, Chinese Acad Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.Nanyang Technol Univ, Sch Elect & Elect Engn, 50 Nanyang Ave, Singapore 639798, Singapore |
推荐引用方式 GB/T 7714 | Zeng, Xianlin,Yi, Peng,Hong, Yiguang,et al. DISTRIBUTED CONTINUOUS-TIME ALGORITHMS FOR NONSMOOTH EXTENDED MONOTROPIC OPTIMIZATION PROBLEMS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2018,56(6):3973-3993. |
APA | Zeng, Xianlin,Yi, Peng,Hong, Yiguang,&Xie, Lihua.(2018).DISTRIBUTED CONTINUOUS-TIME ALGORITHMS FOR NONSMOOTH EXTENDED MONOTROPIC OPTIMIZATION PROBLEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,56(6),3973-3993. |
MLA | Zeng, Xianlin,et al."DISTRIBUTED CONTINUOUS-TIME ALGORITHMS FOR NONSMOOTH EXTENDED MONOTROPIC OPTIMIZATION PROBLEMS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 56.6(2018):3973-3993. |
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