Admissibility and Controllability of diagonal Volterra equations with scalar inputs

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dc.creatorHaak, Bernhard H.
dc.creatorJacob, Birgit
dc.creatorPott, Sandra
dc.creatorPartington, Jonathan R.
dc.date2008-03-06
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:07Z
dc.date.available2026-07-07T12:37:07Z
dc.descriptionThis article 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 generalization of results known to hold for the standard Cauchy problem. The results are illustrated by examples involving heat conduction with memory.
dc.descriptionRevised version and an application involving heat conduction with memory. 17 pages. to appear in Journal of Diff. Eq
dc.identifierhttps://arxiv.org/abs/0803.0897
dc.identifierhttp://arxiv.org/abs/0803.0897
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218326
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject45D05; 93C10; 93B28 ;93B05 ;30E05
dc.titleAdmissibility and Controllability of diagonal Volterra equations with scalar inputs
dc.typetext

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