KMS Of Academy of mathematics and systems sciences, CAS
Distributed optimisation approach to least-squares solution of Sylvester equations | |
Deng, Wen1,2; Zeng, Xianlin3; Hong, Yiguang1,2 | |
2020-12-17 | |
发表期刊 | IET CONTROL THEORY AND APPLICATIONS |
ISSN | 1751-8644 |
卷号 | 14期号:18页码:2968-2976 |
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. |
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 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | NSFC[61733018] ; National Key Research and Development Program[2016YFB0901900] |
WOS研究方向 | Automation & Control Systems ; Engineering ; Instruments & Instrumentation |
WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation |
WOS记录号 | WOS:000595801300025 |
出版者 | INST ENGINEERING TECHNOLOGY-IET |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/52541 |
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Beijing Inst Technol, Sch Automat, Key Lab Intelligent Control & Decis Complex Syst, Beijing 100081, 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. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论