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dc.contributor.author | Cortés, J.-C.![]() |
es_ES |
dc.contributor.author | Navarro-Quiles, A.![]() |
es_ES |
dc.contributor.author | Romero, José-Vicente![]() |
es_ES |
dc.contributor.author | Roselló, María-Dolores![]() |
es_ES |
dc.date.accessioned | 2024-05-29T18:11:26Z | |
dc.date.available | 2024-05-29T18:11:26Z | |
dc.date.issued | 2023-05 | es_ES |
dc.identifier.issn | 0016-0032 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/204495 | |
dc.description.abstract | [EN] This paper deals with the probabilistic analysis of discrete first-order linear control models with uncertainties. For the sake of generality in our stochastic analysis, we assume that all model parameters (the initial and final states, the matrix containing the free dynamics part, and the control's coefficient) are random variables with an arbitrary joint probability density function. We then combine some results from classical Control Theory with Probability Theory to obtain, under very general hypotheses, the first probability density function of the control and the solution, which are parametric stochastic processes. To illustrate our theoretical findings, we also show two numerical examples and a classical discrete macroeconomic model whose parameters are treated as random variables.& COPY; 2023 The Author(s). Published by Elsevier Inc. on behalf of The Franklin Institute. | es_ES |
dc.description.sponsorship | This work has been supported by the grant PID2020-115270GB-I00 funded by the institution MCIN/AEI/10.13039/501100011033 and the grant AICO/2021/302 (Generalitat Valenciana). | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of the Franklin Institute | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Diference-equations | es_ES |
dc.subject | Controllability | es_ES |
dc.subject | Systems | es_ES |
dc.subject | First-order matrix linear control | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Solving discrete first-order matrix linear control problems with general parametric uncertainties: A probability-density-based approach | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jfranklin.2023.03.014 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//AICO%2F2021%2F302//Métodos Computacionales para Ecuaciones Diferenciales Aleatorias. Aplicación a Sistemas Vibratorios/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AGENCIA ESTATAL DE INVESTIGACION//PID2020-115270GB-I00//ECUACIONES DIFERENCIALES ALEATORIAS. CUANTIFICACION DE LA INCERTIDUMBRE Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Facultad de Administración y Dirección de Empresas - Facultat d'Administració i Direcció d'Empreses | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació | es_ES |
dc.description.bibliographicCitation | Cortés, J.; Navarro-Quiles, A.; Romero, J.; Roselló, M. (2023). Solving discrete first-order matrix linear control problems with general parametric uncertainties: A probability-density-based approach. Journal of the Franklin Institute. 360(7):4852-4879. https://doi.org/10.1016/j.jfranklin.2023.03.014 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.jfranklin.2023.03.014 | es_ES |
dc.description.upvformatpinicio | 4852 | es_ES |
dc.description.upvformatpfin | 4879 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 360 | es_ES |
dc.description.issue | 7 | es_ES |
dc.relation.pasarela | S\485141 | es_ES |
dc.contributor.funder | GENERALITAT VALENCIANA | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |