dc.creator | Vázquez Valenzuela, Rafael | es |
dc.creator | Krstic, Miroslav | es |
dc.date.accessioned | 2018-01-30T14:28:12Z | |
dc.date.available | 2018-01-30T14:28:12Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Vázquez Valenzuela, R. y Krstic, M. (2016). Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls. ESAIM: Control, Optimisation and Calculus of Variations, 22 (4), 1078-1096. | |
dc.identifier.issn | 1292-8119 | es |
dc.identifier.uri | https://hdl.handle.net/11441/69757 | |
dc.description.abstract | This paper introduces an explicit output-feedback boundary feedback law that stabilizes
an unstable linear constant-coefficient reaction-diffusion equation on an n-ball (which in 2-D reduces to
a disk and in 3-D reduces to a sphere) using only measurements from the boundary. The backstepping
method is used to design both the control law and a boundary observer. To apply backstepping the
system is reduced to an infinite sequence of 1-D systems using spherical harmonics. Well-posedness and
stability are proved in the L2 and H1 spaces. The resulting control and output injection gain kernels are
the product of the backstepping kernel used in control of one-dimensional reaction-diffusion equations
and a function closely related to the Poisson kernel in the n-ball. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2015-65608-P | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Société de Mathématiques Appliquées et Industrielles (SMAI) | es |
dc.relation.ispartof | ESAIM: Control, Optimisation and Calculus of Variations, 22 (4), 1078-1096. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Infinite-dimensional backstepping | es |
dc.subject | Boundary control | es |
dc.subject | Boundary observer | es |
dc.title | Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos | es |
dc.relation.projectID | MTM2015-65608-P | es |
dc.relation.publisherversion | https://www.esaim-cocv.org/articles/cocv/abs/2016/04/cocv160033-s/cocv160033-s.html | es |
dc.identifier.doi | 10.1051/cocv/2016033 | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | ESAIM: Control, Optimisation and Calculus of Variations | es |
dc.publication.volumen | 22 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1078 | es |
dc.publication.endPage | 1096 | es |
dc.identifier.sisius | 20978096 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |