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Willems' fundamental lemma based on second-order moments
KTH Royal Inst Technol, Sch Elect Engn & Comp Sci, Div Decis & Control Syst, SE-10044 Stockholm, Sweden..
KTH Royal Inst Technol, Sch Elect Engn & Comp Sci, Div Decis & Control Syst, SE-10044 Stockholm, Sweden..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.ORCID iD: 0000-0002-2678-1330
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Artificial Intelligence.ORCID iD: 0000-0001-5183-234X
2021 (English)In: 2021 60th IEEE Conference On Decision And Control (CDC), Institute of Electrical and Electronics Engineers (IEEE) Institute of Electrical and Electronics Engineers (IEEE), 2021, p. 396-401Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we propose variations of Willems' fundamental lemma that utilize second-order moments such as correlation functions in the time domain and power spectra in the frequency domain. We believe that using a formulation with estimated correlation coefficients is suitable for data compression, and possibly can reduce noise. Also, the formulations in the frequency domain can enable modeling of a system in a frequency region of interest.
Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) Institute of Electrical and Electronics Engineers (IEEE), 2021. p. 396-401
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-475326DOI: 10.1109/CDC45484.2021.9683632ISI: 000781990300058ISBN: 978-1-6654-3659-5 (electronic)OAI: oai:DiVA.org:uu-475326DiVA, id: diva2:1662987
Conference
60th IEEE Conference on Decision and Control (CDC), DEC 13-17, 2021, ELECTR NETWORK
Funder
Knut and Alice Wallenberg Foundation, 2016-06079Available from: 2022-06-01 Created: 2022-06-01 Last updated: 2024-01-15Bibliographically approved

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Mattsson, PerSchön, Thomas B.

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