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Null controllability of the Lotka-McKendrick system with spatial diffusion

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHEGOBURU, Nicolas
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTUCSNAK, Marius
dc.date.accessioned2024-04-04T03:07:56Z
dc.date.available2024-04-04T03:07:56Z
dc.date.issued2018-09
dc.identifier.issn2156-8472
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193487
dc.description.abstractEnWe consider the infinite dimensional linear control system described by the population dynamics model of Lotka-McKendrick with spatial diffusion. Considering control functions localized with respect to the spatial variable but active for all ages, we prove that the whole population can be steered to zero in any positive time. The main novelty we bring is that, unlike the existing results in the literature, we can also control the population of ages very close to 0. Another novelty brought in is the employed methodology: as far as we know, the present work is the first one remarking that the null controllability of the considered system can be obtained by using the Lebeau-Robbiano strategy, originally developed for the null-controllability of the heat equation.
dc.language.isoen
dc.publisherAIMS
dc.title.enNull controllability of the Lotka-McKendrick system with spatial diffusion
dc.typeArticle de revue
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalMathematical Control and Related Fields
bordeaux.page707-720
bordeaux.volume8
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3-4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01648088
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01648088v1
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