dc.contributor | Escuela de Ingenierias Industrial, Informática y Aeroespacial | es_ES |
dc.contributor.author | Hermida Alonso, José Ángel | |
dc.contributor.author | Carriegos Vieira, Miguel | |
dc.contributor.author | Sáez Schwedt, Andrés | |
dc.contributor.author | Sánchez Giralda, Tomás | |
dc.contributor.other | Matematica Aplicada | es_ES |
dc.date | 2021 | |
dc.date.accessioned | 2024-04-05T08:45:31Z | |
dc.date.available | 2024-04-05T08:45:31Z | |
dc.identifier.citation | Hermida-Alonso, J. Á., Carriegos, M. V., Sáez-Schwedt, A., & Sánchez-Giralda, T. (2021). On the regulator problem for linear systems over rings and algebras. Open Mathematics, 19(1), 101-110. https://doi.org/10.1515/MATH-2021-0002 | es_ES |
dc.identifier.other | https://www.degruyter.com/document/doi/10.1515/math-2021-0002/html | es_ES |
dc.identifier.uri | https://hdl.handle.net/10612/19427 | |
dc.description.abstract | [EN] The regulator problem is solvable for a linear dynamical system
Σ
if and only if
Σ
is both pole assignable and state estimable. In this case,
Σ
is a canonical system (i.e., reachable and observable). When the ring
R
is a field or a Noetherian total ring of fractions the converse is true. Commutative rings which have the property that the regulator problem is solvable for every canonical system (RP-rings) are characterized as the class of rings where every observable system is state estimable (SE-rings), and this class is shown to be equal to the class of rings where every reachable system is pole-assignable (PA-rings) and the dual of a canonical system is also canonical (DP-rings). | es_ES |
dc.language | eng | es_ES |
dc.publisher | De Gruyter | es_ES |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Matemáticas | es_ES |
dc.subject.other | Linear systems over commutative rings | es_ES |
dc.subject.other | Regulator problem | es_ES |
dc.subject.other | Duality principle | es_ES |
dc.subject.other | Pole assignment | es_ES |
dc.title | On the regulator problem for linear systems over rings and algebras | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.identifier.doi | 10.1515/MATH-2021-0002 | |
dc.description.peerreviewed | SI | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.essn | 2391-5455 | |
dc.journal.title | Open Mathematics | es_ES |
dc.volume.number | 19 | es_ES |
dc.issue.number | 1 | es_ES |
dc.page.initial | 101 | es_ES |
dc.page.final | 110 | es_ES |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |
dc.subject.unesco | 1201.05 Campos, Anillos, Álgebras | es_ES |
dc.subject.unesco | 1201.10 Álgebra Lineal | es_ES |
dc.description.project | This research was partially supported by RIASC, Research Institute of Applied Sciences and Cybersecurity (riasc.unileon.es). | es_ES |