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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/181145
Título:
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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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Autor:
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Cortés, J.-C.
Navarro-Quiles, Ana
Romero, José-Vicente
Roselló, María-Dolores
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Entidad UPV:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Fecha difusión:
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Resumen:
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[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, ...[+]
[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.
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Palabras clave:
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First probability density function
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Random control differential equation
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Random damped linear oscillators
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Random variable transformation technique
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Derechos de uso:
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Reserva de todos los derechos
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Fuente:
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Computational and Mathematical Methods. (eissn:
2577-7408
)
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DOI:
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10.1002/cmm4.1163
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Editorial:
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John Wiley & Sons
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Versión del editor:
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https://doi.org/10.1002/cmm4.1163
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Código del Proyecto:
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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/
info:eu-repo/grantAgreement/GVA//GJIDI%2F2018%2FA%2F009/
info:eu-repo/grantAgreement/GVA//GJIDI%2F2018%2FA%2F010/
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Descripción:
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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.
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Agradecimientos:
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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 ...[+]
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.
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Tipo:
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Artículo
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