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Performance analysis of the compressed distributed least squares algorithm
Gan, Die; Liu, Zhixin1
2022-06-01
Source PublicationSYSTEMS & CONTROL LETTERS
ISSN0167-6911
Volume164Pages:9
AbstractIn 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.
KeywordSparse signal Compressive sensing Distributed least squares Performance analysis
DOI10.1016/j.sysconle.2022.105228
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000800480400005
PublisherELSEVIER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/61500
Collection系统科学研究所
Corresponding AuthorLiu, Zhixin
Affiliation1.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
Recommended Citation
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.
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