Distributed Computation of Linear Matrix Equations: An Optimization Perspective
文献类型：期刊论文
| 作者 | Zeng, Xianlin2; Liang, Shu3; Hong, Yiguang1 ; Chen, Jie4
|
| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2019-05-01 |
| 卷号 | 64期号:5页码:1858-1873 |
| 关键词 | Constrained convex optimization distributed computation least squares solution linear matrix equation substitutional decomposition |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2018.2847603 |
| 英文摘要 | This paper investigates the distributed computation of the well-known linear matrix equation in the form of AXB = F, with the matrices A, B, X, and F of appropriate dimensions, over multiagent networks from an optimization perspective. In this paper, we consider the standard distributed matrix-information structures, where each agent of the considered multiagent network has access to one of the subblock matrices of A, B, and F. To be specific, we first propose different decomposition methods to reformulate the matrix equations in standard structures as distributed constrained optimization problems by introducing substitutional variables; we show that the solutions of the reformulated distributed optimization problems are equivalent to least squares solutions to original matrix equations; and we design distributed continuous-time algorithms for the constrained optimization problems, even by using augmented matrices and a derivative feedback technique. Moreover, we prove the exponential convergence of the algorithms to a least squares solution to the matrix equation for any initial condition. |
| 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[61403231] ; National Natural Science Foundation of China[61603378] ; Fundamental Research Funds for the China Central Universities of USTB[FRF-TP-17-088A1] ; China Postdoctoral Science Foundation[2017M620020] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000466226500007 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34913]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zeng, Xianlin |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Beijing Inst Technol, Sch Automat, Key Lab Intelligent Control & Decis Complex Syst, Beijing 100081, Peoples R China 3.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing 100083, Peoples R China 4.Beijing Inst Technol, Beijing Adv Innovat Ctr Intelligent Robots & Syst, Key Lab Biomimet Robots & Syst, Minist Educ, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zeng, Xianlin,Liang, Shu,Hong, Yiguang,et al. Distributed Computation of Linear Matrix Equations: An Optimization Perspective[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2019,64(5):1858-1873. |
| APA | Zeng, Xianlin,Liang, Shu,Hong, Yiguang,&Chen, Jie.(2019).Distributed Computation of Linear Matrix Equations: An Optimization Perspective.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,64(5),1858-1873. |
| MLA | Zeng, Xianlin,et al."Distributed Computation of Linear Matrix Equations: An Optimization Perspective".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 64.5(2019):1858-1873. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
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。