A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel

doi:http://dx.doi.org/10.1007/s00028-009-0008-8

Artículo

dc.creator	Ammar-Khodja, Farid	es
dc.creator	Benabdallah, Assia	es
dc.creator	Dupaix, Cédric	es
dc.creator	González Burgos, Manuel	es
dc.date.accessioned	2016-05-23T09:59:14Z
dc.date.available	2016-05-23T09:59:14Z
dc.date.issued	2009-06
dc.identifier.citation	Ammar-Khodja, F., Benabdallah, A., Dupaix, C. y González Burgos, M. (2009). A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems. Journal of Evolution Equations, 9 (2), 267-291.
dc.identifier.issn	1424-3199	es
dc.identifier.issn	1424-3202	es
dc.identifier.uri	http://hdl.handle.net/11441/41487
dc.description.abstract	We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global Carleman estimate for the solutions of a scalar 2nd−order parabolic equation and deduce from it an observability inequality for our adjoint system.	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Journal of Evolution Equations, 9 (2), 267-291.
dc.relation.ispartof	Journal of Evolution Equations, 9 (2), 267-291.	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Kalman condition	es
dc.subject	control	es
dc.subject	observability	es
dc.subject	Carleman estimates	es
dc.subject	reaction diffusion systems	es
dc.title	A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems	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 Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.projectID	MTM2006-07932	es
dc.identifier.doi	http://dx.doi.org/10.1007/s00028-009-0008-8	es
idus.format.extent	26 p.	es
dc.journaltitle	Journal of Evolution Equations	es
dc.publication.volumen	9	es
dc.publication.issue	2	es
dc.publication.initialPage	267	es
dc.publication.endPage	291	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/41487
dc.contributor.funder	Ministerio de Ciencia e Innovación (MICIN). España

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