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Performance analysis of the compressed distributed least squares algorithm

文献类型：期刊论文

作者Gan, Die; Liu, Zhixin1
刊名SYSTEMS & CONTROL LETTERS
出版日期2022-06-01
卷号164页码:9
ISSN号0167-6911
关键词Sparse signal Compressive sensing Distributed least squares Performance analysis
DOI10.1016/j.sysconle.2022.105228
英文摘要In this paper, we consider the distributed estimation problem of unknown high-dimensional sparse signals for a random dynamic system. We propose a compressed distributed algorithm by using the compressive sensing theory and the distributed least squares (LS) algorithm. Under a compressed cooperative persistent excitation condition, the upper bound of the estimation error is established which is positively related to the restricted isometry constant. Our results are obtained without relying on some stringent conditions such as independency or stationarity of the regression vectors. Finally, we provide a simulation example to show that the compressed distributed least squares algorithm has better performance than the regularized distributed LS algorithm with l1 penalty for the estimation of high-dimensional sparse signals. (C) 2022 Elsevier B.V. All rights reserved.
资助项目National Key R&D Program of China[2018YFA0703800] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDA27000000] ; Natural Science Foundation of China[U21B6001] ; National Science Foundation of Shandong Province, China[ZR2020ZD26]
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
语种英语
出版者ELSEVIER
WOS记录号WOS:000800480400005
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/61499]  
专题系统科学研究所
通讯作者Liu, Zhixin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Gan, Die,Liu, Zhixin. Performance analysis of the compressed distributed least squares algorithm[J]. SYSTEMS & CONTROL LETTERS,2022,164:9.
APA Gan, Die,&Liu, Zhixin.(2022).Performance analysis of the compressed distributed least squares algorithm.SYSTEMS & CONTROL LETTERS,164,9.
MLA Gan, Die,et al."Performance analysis of the compressed distributed least squares algorithm".SYSTEMS & CONTROL LETTERS 164(2022):9.

入库方式： OAI收割

来源：数学与系统科学研究院

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