dc.creator | Dias Araruna, Fágner | es |
dc.creator | Fernández Cara, Enrique | es |
dc.creator | Cardoso Santos, Mauricio | es |
dc.date.accessioned | 2016-06-29T11:02:52Z | |
dc.date.available | 2016-06-29T11:02:52Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Dias Araruna, F., Fernández Cara, E. y Cardoso Santos, M. (2015). Stackelberg–Nash exact controllability for linear and semilinear parabolic equations. ESAIM: Mathematical Modelling and Numerical Analysis, 21, 835-856. | |
dc.identifier.issn | 0764-583X | es |
dc.identifier.issn | 1290-3841 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42923 | |
dc.description.abstract | This paper deals with the application of Stackelberg–Nash strategies to the control of parabolic equations. We assume that we can act on the system through a hierarchy of controls. A first control (the leader) is assumed to choose the policy. Then, a Nash equilibrium pair (corresponding to a noncooperative multiple-objective optimization strategy) is found; this governs the action of the other controls (the followers). The main novelty in this paper is that, this way, we can obtain the exact controllability to a prescribed (but arbitrary) trajectory. We study linear and semilinear problems and, also, problems with pointwise constraints on the followers. | es |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior (Brasil) | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil) | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | EDP Sciences | es |
dc.relation.ispartof | ESAIM: Mathematical Modelling and Numerical Analysis, 21, 835-856. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | controllability | es |
dc.subject | Stackelberg-Nash strategies | es |
dc.subject | Carleman inequalities | es |
dc.title | Stackelberg-Nash exact controllability for linear and semilinear parabolic equations | 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 | MTM2010-15592 | es |
dc.identifier.doi | http://dx.doi.org/10.1051/cocv/2014052 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
idus.format.extent | 22 p. | es |
dc.journaltitle | ESAIM: Mathematical Modelling and Numerical Analysis | es |
dc.publication.volumen | 21 | es |
dc.publication.initialPage | 835 | es |
dc.publication.endPage | 856 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42923 | |