dc.contributor.author | Dahmen, Rafael | |
dc.contributor.author | Gray, W. Steven | |
dc.contributor.author | Schmeding, Alexander | |
dc.date.accessioned | 2021-09-09T12:52:01Z | |
dc.date.available | 2021-09-09T12:52:01Z | |
dc.date.created | 2021-07-27T13:31:10Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Dahmen, R., Gray, W. S. & Schmeding, A. (2021). Continuity of Chen-Fliess series for applications in system identification and machine learning. IFAC-PapersOnLine, 54(9), 231-238. doi: | en_US |
dc.identifier.issn | 2405-8963 | |
dc.identifier.uri | https://hdl.handle.net/11250/2774961 | |
dc.description.abstract | Model continuity plays an important role in applications like system identification, adaptive control, and machine learning. This paper provides sufficient conditions under which input-output systems represented by locally convergent Chen-Fliess series are jointly continuous with respect to their generating series and as operators mapping a ball in an Lp-space to a ball in an Lq-space, where p and q are conjugate exponents. The starting point is to introduce a class of topological vector spaces known as Silva spaces to frame the problem and then to employ the concept of a direct limit to describe convergence. The proof of the main continuity result combines elements of proofs for other forms of continuity appearing in the literature to produce the desired conclusion. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Continuity of Chen-Fliess series for applications in system identification and machine learning | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © 2021 The Author(s) | en_US |
dc.subject.nsi | VDP::Matematikk: 410 | en_US |
dc.subject.nsi | VDP::Mathematics: 410 | en_US |
dc.source.pagenumber | 231-238 | en_US |
dc.source.volume | 54 | en_US |
dc.source.journal | IFAC-PapersOnLine | en_US |
dc.source.issue | 9 | en_US |
dc.identifier.doi | 10.1016/j.ifacol.2021.06.080 | |
dc.identifier.cristin | 1922780 | |