Distributed optimisation approach to least-squares solution of Sylvester equations
文献类型：期刊论文
| 作者 | Deng, Wen2,3; Zeng, Xianlin1; Hong, Yiguang2,3 |
| 刊名 | IET CONTROL THEORY AND APPLICATIONS
 |
| 出版日期 | 2020-12-17 |
| 卷号 | 14期号:18页码:2968-2976 |
| ISSN号 | 1751-8644 |
| 关键词 | least squares approximations distributed control stability distributed algorithms continuous time systems matrix algebra convex programming multi-robot systems convex optimisation distributed optimisation approach least-squares solution Sylvester equations distributed algorithms multiagent network problem setup interconnected system local information data matrices neighbour agents continuous-time algorithms optimisation problem |
| DOI | 10.1049/iet-cta.2019.1400 |
| 英文摘要 | In this study, the authors design distributed algorithms for solving the Sylvester equation AX+XB=C in the sense of least squares over a multi-agent network. In the problem setup, every agent in the interconnected system only has local information of some columns or rows of data matrices A, B and C, and exchanges information among neighbour agents. They propose algorithms with mainly focusing on a specific partition case, whose designs can be easily generalised to other partitions. Three distributed continuous-time algorithms aim at two cases for seeking a least-squares/regularisation solution from the viewpoint of optimisation. Due to the equivalence between an equilibrium point of each system under discussion and an optimal solution to the corresponding optimisation problem, the authors make use of semi-stability theory and methods in convex optimisation to prove convergence theorems of proposed algorithms that arrive at a least-squares/regularisation solution. |
| 资助项目 | NSFC[61733018] ; National Key Research and Development Program[2016YFB0901900] |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Instruments & Instrumentation |
| 语种 | 英语 |
| 出版者 | INST ENGINEERING TECHNOLOGY-IET |
| WOS记录号 | WOS:000595801300025 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52540]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, Wen,Zeng, Xianlin,Hong, Yiguang. Distributed optimisation approach to least-squares solution of Sylvester equations[J]. IET CONTROL THEORY AND APPLICATIONS,2020,14(18):2968-2976. |
| APA | Deng, Wen,Zeng, Xianlin,&Hong, Yiguang.(2020).Distributed optimisation approach to least-squares solution of Sylvester equations.IET CONTROL THEORY AND APPLICATIONS,14(18),2968-2976. |
| MLA | Deng, Wen,et al."Distributed optimisation approach to least-squares solution of Sylvester equations".IET CONTROL THEORY AND APPLICATIONS 14.18(2020):2968-2976. |
入库方式： OAI收割
来源：数学与系统科学研究院
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