dc.contributor.author | Gray, W. Steven | |
dc.contributor.author | Palmstrøm, Mathias | |
dc.contributor.author | Schmeding, Alexander | |
dc.date.accessioned | 2022-04-27T12:20:34Z | |
dc.date.available | 2022-04-27T12:20:34Z | |
dc.date.created | 2022-04-06T09:28:07Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 1615-3375 | |
dc.identifier.uri | https://hdl.handle.net/11250/2993032 | |
dc.description.abstract | Formal power series products appear in nonlinear control theory when systems modeled by Chen–Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of these formal power series are estimated sequentially with real-time data. The main goal is to prove the continuity and analyticity of such products with respect to several natural (locally convex) topologies on spaces of locally convergent formal power series in order to establish foundational properties behind these technologies. In addition, it is shown that a transformation group central to describing the output feedback connection is in fact an analytic Lie group in this setting with certain regularity properties. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Continuity of Formal Power Series Products in Nonlinear Control Theory | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2022 The Author(s) | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1007/s10208-022-09560-0 | |
dc.identifier.cristin | 2015578 | |
dc.source.journal | Foundations of Computational Mathematics | en_US |
dc.identifier.citation | Foundations of Computational Mathematics. 2022 | en_US |