Admissibility and Controllability of diagonal Volterra equations with scalar inputs
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAAK, Bernhard H. | |
| hal.structure.identifier | University of Paderborn | |
| dc.contributor.author | JACOB, Birgit | |
| hal.structure.identifier | University of Glasgow | |
| dc.contributor.author | POTT, Sandra | |
| hal.structure.identifier | School of Mathematics [Leeds] | |
| dc.contributor.author | PARTINGTON, Jonathan | |
| dc.date.accessioned | 2024-04-04T02:53:01Z | |
| dc.date.available | 2024-04-04T02:53:01Z | |
| dc.date.created | 2008-03-06 | |
| dc.date.issued | 2009-06-01 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192132 | |
| dc.description.abstractEn | This paper studies Volterra evolution equations from the point of view of control theory, in the case that the generator of the underlying semigroup has a Riesz basis of eigenvectors. Conditions for admissibility of the system's control operator are given in terms of the Carleson embedding properties of certain discrete measures. Moreover, exact and null controllability are expressed in terms of a new interpolation question for analytic functions, providing a generalisation of results known to hold for the standard Cauchy problem. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Admissibility and Controllability of diagonal Volterra equations with scalar inputs | |
| 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] | |
| dc.identifier.arxiv | 0803.0897 | |
| bordeaux.journal | Journal of Differential Equations | |
| bordeaux.page | 4423-4440 | |
| bordeaux.volume | 246 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00281645 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281645v1 | |
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