Distributed Nonsmooth Optimization With Coupled Inequality Constraints via Modified Lagrangian Function
文献类型：期刊论文
| 作者 | Liang, Shu1; Zeng, Xianlin2; Hong, Yiguang3,4
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| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2018-06-01 |
| 卷号 | 63期号:6页码:1753-1759 |
| 关键词 | Coupled constraint distributed optimization modified Lagrangian function nonsmooth analysis primal-dual dynamics |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2017.2752001 |
| 英文摘要 | This note considers a distributed convex optimization problem with nonsmooth cost functions and coupled nonlinear inequality constraints. To solve the problem, we first propose a modified Lagrangian function containing local multipliers and a nonsmooth penalty function. Then, we construct a distributed continuous-time algorithm by virtue of a projected primal-dual sub-gradient dynamics. Based on the nonsmooth analysis and Lyapunov function, we obtain the existence of the solution to the nonsmooth algorithm and its convergence. |
| 资助项目 | National Key Research and Development Program of China[2016YFB0901902] ; National Natural Science Foundation of China[61333001] ; National Natural Science Foundation of China[61573344] ; National Natural Science Foundation of China[61603378] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000433367600016 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30305]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Liang, Shu |
| 作者单位 | 1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China 2.Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liang, Shu,Zeng, Xianlin,Hong, Yiguang. Distributed Nonsmooth Optimization With Coupled Inequality Constraints via Modified Lagrangian Function[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2018,63(6):1753-1759. |
| APA | Liang, Shu,Zeng, Xianlin,&Hong, Yiguang.(2018).Distributed Nonsmooth Optimization With Coupled Inequality Constraints via Modified Lagrangian Function.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,63(6),1753-1759. |
| MLA | Liang, Shu,et al."Distributed Nonsmooth Optimization With Coupled Inequality Constraints via Modified Lagrangian Function".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 63.6(2018):1753-1759. |
入库方式： OAI收割
来源：数学与系统科学研究院
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