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Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator

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Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator

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dc.contributor.author Cortés, J.-C. es_ES
dc.contributor.author Navarro-Quiles, Ana es_ES
dc.contributor.author Romero, José-Vicente es_ES
dc.contributor.author Roselló, María-Dolores es_ES
dc.date.accessioned 2022-02-28T19:03:16Z
dc.date.available 2022-02-28T19:03:16Z
dc.date.issued 2021-11 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181145
dc.description This is the peer reviewed version of the following article: Cortés, J-C, Navarro-Quiles, A, Romero, J-V, Roselló, M-D. Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator. Comp and Math Methods. 2021; 3:e1163, which has been published in final form at https://doi.org/10.1002/cmm4.1163. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. es_ES
dc.description.abstract [EN] In this work, we consider control problems represented by a linear differential equation assuming that all the coefficients are random variables and with an additive control that is a stochastic process. Specifically, we will work with controllable problems in which the initial condition and the final target are random variables. The probability density function of the solution and the control has been calculated. The theoretical results have been applied to study, from a probabilistic standpoint, a damped oscillator. es_ES
dc.description.sponsorship European Social Fund, Grant/Award Numbers: GJIDI/2018/A/009, GJIDI/2018/A/010; Spanish Ministerio de Economía, Industria y Competitividad (MINECO), the Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER UE), Grant/Award Number: MTM2017-89664-P. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Computational and Mathematical Methods es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject First probability density function es_ES
dc.subject Random control differential equation es_ES
dc.subject Random damped linear oscillators es_ES
dc.subject Random variable transformation technique es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/cmm4.1163 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GJIDI%2F2018%2FA%2F009/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GJIDI%2F2018%2FA%2F010/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cortés, J.; Navarro-Quiles, A.; Romero, J.; Roselló, M. (2021). Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator. Computational and Mathematical Methods. 3(6):1-15. https://doi.org/10.1002/cmm4.1163 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/cmm4.1163 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 3 es_ES
dc.description.issue 6 es_ES
dc.identifier.eissn 2577-7408 es_ES
dc.relation.pasarela S\432305 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES


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