Controllability of a Class of Infinite Dimensional Systems With Age Structure.
hal.structure.identifier | Universidad Autónoma de Madrid [UAM] | |
dc.contributor.author | MAITY, Debayan | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | TUCSNAK, Marius | |
hal.structure.identifier | Universidad Autónoma de Madrid [UAM] | |
hal.structure.identifier | Universidad de Deusto [DEUSTO] | |
dc.contributor.author | ZUAZUA, Enrique | |
dc.date | 2020 | |
dc.date.accessioned | 2024-04-04T03:00:00Z | |
dc.date.available | 2024-04-04T03:00:00Z | |
dc.date.created | 2018-12-01 | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192789 | |
dc.description.abstractEn | Given a linear dynamical system, we investigate the linear infinite dimensional system obtained by grafting an age structure. Such systems appear essentially in population dynamics with age structure when phenomena like spatial diffusion or transport are also taken into consideration. We first show that the new system preserves some of the wellposedness properties of the initial one. Our main result asserts that if the initial system is null controllable in a time small enough than the structured system is also null controllable in a time depending on the various involved parameters. | |
dc.language.iso | en | |
dc.publisher | Polish Academy of Sciences | |
dc.subject.en | Infinite dimensional linear system | |
dc.subject.en | age structure | |
dc.subject.en | admissible control operator | |
dc.subject.en | null controllability | |
dc.subject.en | population dynamics | |
dc.subject.en | null controlla- bility | |
dc.subject.en | population dynamics AMS subject classifications 93B03 | |
dc.subject.en | 93B05 | |
dc.subject.en | 92D25 | |
dc.title.en | Controllability of a Class of Infinite Dimensional Systems With Age Structure. | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
bordeaux.journal | Control and Cybernetics | |
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-01964612 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01964612v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Control%20and%20Cybernetics&rft.date=2020&rft.au=MAITY,%20Debayan&TUCSNAK,%20Marius&ZUAZUA,%20Enrique&rft.genre=article |
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