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On the Null Controllability of the Lotka-Mckendrick System

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAITY, Debayan
dc.date.accessioned2024-04-04T03:03:47Z
dc.date.available2024-04-04T03:03:47Z
dc.date.issued2019-12
dc.identifier.issn2156-8472
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193098
dc.description.abstractEnIn this work, we study null-controllability of the Lotka-McKendrick system of population dynamics. The control is acting on the individuals in a given age range. The main novelty we bring in this work is that the age interval in which the control is active does not necessarily contain a neighbourhood of $0$. The main result asserts the whole population can be steered into zero in large time. The proof is based on final-state observability estimates of the adjoint system with the use of characteristics.
dc.description.sponsorshipSystèmes interconnectés de dimension infinie pour les milieux hétérogènes - ANR-16-CE92-0028
dc.language.isoen
dc.publisherAIMS
dc.title.enOn the Null Controllability of the Lotka-Mckendrick System
dc.typeArticle de revue
dc.identifier.doi10.3934/mcrf.2019048
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalMathematical Control and Related Fields
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01941486
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01941486v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Control%20and%20Related%20Fields&rft.date=2019-12&rft.eissn=2156-8472&rft.issn=2156-8472&rft.au=MAITY,%20Debayan&rft.genre=article


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