On the Null Controllability of the Lotka-Mckendrick System
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MAITY, Debayan | |
| dc.date.accessioned | 2024-04-04T03:03:47Z | |
| dc.date.available | 2024-04-04T03:03:47Z | |
| dc.date.issued | 2019-12 | |
| dc.identifier.issn | 2156-8472 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193098 | |
| dc.description.abstractEn | In 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.sponsorship | Systèmes interconnectés de dimension infinie pour les milieux hétérogènes - ANR-16-CE92-0028 | |
| dc.language.iso | en | |
| dc.publisher | AIMS | |
| dc.title.en | On the Null Controllability of the Lotka-Mckendrick System | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/mcrf.2019048 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.journal | Mathematical Control and Related Fields | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01941486 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01941486v1 | |
| bordeaux.COinS | ctx_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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