- -

Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Cortés;Navarro-Qu ...
Tamaño: 3.765Mb
Formato: PDF
Descripción: Versión del Autor.
Abrir
[Cerrado]
Nombre: control_Franklin.pdf
Tamaño: 3.162Mb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
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.contributor.author Zuazua, Enrique es_ES
dc.date.accessioned 2021-02-06T04:33:50Z
dc.date.available 2021-02-06T04:33:50Z
dc.date.issued 2020-08 es_ES
dc.identifier.issn 0016-0032 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160837
dc.description.abstract [EN] In this paper we perform a complete probabilistic study of a finite dimensional linear control system with uncertainty. The controllability condition with random initial data and final target is analysed. To conduct this investigation we determine the first probability density function of the control and the solution of the random control problem under different scenarios. To achieve this objective, Random Variable Transformation technique is extensively applied. Several examples illustrate the theoretical results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. es_ES
dc.description.sponsorship This work has been partially supported by the European Research Council (ERC) under the European Unions’s Horizon 2020 research and innovation programme (Grant agreement no. 694126-DyCon) and the Ministerio de Economía y Competitividad grant MTM2017-89664-P. Enrique Zuazua has also been funded by the Alexander von Humboldt-Professorship program, the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant agreement Nos. 765579-ConFlex, MTM2017-92996 of MINECO (Spain), ELKARTEK project KK-2018/00083 ROAD2DC of the Basque Government, ICON-ANR-16-ACHN-0014 of the French ANR and Nonlocal PDEs: Analysis, Control and Beyond, AFOSR Grant FA9550-18-1-0242. Ana Navarro Quiles acknowledges the postdoctoral contract financed by DyCon project funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 694126-DYCON) and the funding received from Generalitat Valenciana through a postdoctoral contract (APOSTD/2019/128). Authors acknowledge professor Martin Lazar for fruitful discussions. The authors express their deepest thanks and respect to the four reviewers for their valuable comments that have improve the final version of the paper. 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 Differential-Equations es_ES
dc.subject Greedy controllability es_ES
dc.subject Stochastic-Systems es_ES
dc.subject Stability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.jfranklin.2020.06.005 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/694126/EU/Dynamic Control and Numerics of Partial Differential Equations/ 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/EC/H2020/765579/EU/Control of flexible structures and fluid-structure interactions/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANR//ANR-16-ACHN-0014/FR/Interactions of Control, Partial Differential Equations and Numerics/ICON/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-92996-P/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Eusko Jaurlaritza//KK-2018%2F00083/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AFOSR//FA9550-18-1-0242/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//APOSTD%2F2019%2F128/ 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.; Zuazua, E. (2020). Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. Journal of the Franklin Institute. 357(12):8156-8180. https://doi.org/10.1016/j.jfranklin.2020.06.005 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.jfranklin.2020.06.005 es_ES
dc.description.upvformatpinicio 8156 es_ES
dc.description.upvformatpfin 8180 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 357 es_ES
dc.description.issue 12 es_ES
dc.relation.pasarela S\413353 es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Gobierno Vasco/Eusko Jaurlaritza es_ES
dc.contributor.funder Alexander von Humboldt Foundation es_ES
dc.contributor.funder Air Force Office of Scientific Research es_ES
dc.contributor.funder Agence Nationale de la Recherche, Francia es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.description.references Zuazua, E. (2007). Controllability and Observability of Partial Differential Equations: Some Results and Open Problems. Handbook of Differential Equations: Evolutionary Equations, 527-621. doi:10.1016/s1874-5717(07)80010-7 es_ES
dc.description.references Wu, L., Gao, Y., Liu, J., & Li, H. (2017). Event-triggered sliding mode control of stochastic systems via output feedback. Automatica, 82, 79-92. doi:10.1016/j.automatica.2017.04.032 es_ES
dc.description.references Li, X., Zhu, Q., & O׳Regan, D. (2014). pth Moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs. Journal of the Franklin Institute, 351(9), 4435-4456. doi:10.1016/j.jfranklin.2014.04.008 es_ES
dc.description.references Shaikhet, L. (2009). Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. Discrete & Continuous Dynamical Systems - A, 24(4), 1335-1343. doi:10.3934/dcds.2009.24.1335 es_ES
dc.description.references Deori, L., Garatti, S., & Prandini, M. (2017). Trading performance for state constraint feasibility in stochastic constrained control: A randomized approach. Journal of the Franklin Institute, 354(1), 501-529. doi:10.1016/j.jfranklin.2016.10.019 es_ES
dc.description.references Song, J., Niu, Y., & Wang, S. (2017). Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements. Journal of the Franklin Institute, 354(9), 3706-3723. doi:10.1016/j.jfranklin.2016.07.020 es_ES
dc.description.references Vargas, A. N., Caruntu, C. F., & Ishihara, J. Y. (2019). Stability of switching linear systems with switching signals driven by stochastic processes. Journal of the Franklin Institute, 356(1), 31-41. doi:10.1016/j.jfranklin.2018.09.029 es_ES
dc.description.references Dragan, V., Aberkane, S., & Popa, I.-L. (2015). Optimal <mml:math altimg=«si0002.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd» xmlns:sa=«http://www.elsevier.com/xml/common/struct-aff/dtd»><mml:msub><mml:mrow><mml:mi mathvariant=«script»>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> filtering for periodic linear stochastic systems with multiplicative white noise perturbations and sampled measurements. Journal of the Franklin Institute, 352(12), 5985-6010. doi:10.1016/j.jfranklin.2015.10.010 es_ES
dc.description.references Zuazua, E. (2014). Averaged control. Automatica, 50(12), 3077-3087. doi:10.1016/j.automatica.2014.10.054 es_ES
dc.description.references Lazar, M., & Zuazua, E. (2014). Averaged control and observation of parameter-depending wave equations. Comptes Rendus Mathematique, 352(6), 497-502. doi:10.1016/j.crma.2014.04.007 es_ES
dc.description.references Coulson, J., Gharesifard, B., & Mansouri, A.-R. (2019). On average controllability of random heat equations with arbitrarily distributed diffusivity. Automatica, 103, 46-52. doi:10.1016/j.automatica.2019.01.014 es_ES
dc.description.references Lazar, M., & Zuazua, E. (2016). Greedy controllability of finite dimensional linear systems. Automatica, 74, 327-340. doi:10.1016/j.automatica.2016.08.010 es_ES
dc.description.references Fabrini, G., Iapichino, L., & Volkwein, S. (2018). Reduced-Order Greedy Controllability of Finite Dimensional Linear Systems. IFAC-PapersOnLine, 51(2), 296-301. doi:10.1016/j.ifacol.2018.03.051 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem