HAAK, Bernhard H.; JACOB, Birgit; POTT, Sandra; PARTINGTON, Jonathan

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HAAK, Bernhard H.
Institut de Mathématiques de Bordeaux [IMB]

JACOB, Birgit
University of Paderborn

POTT, Sandra
University of Glasgow

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Journal of Differential Equations. 2009-06-01, vol. 246, n° 11, p. 4423-4440

Elsevier

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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.< Leer menos

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Admissibility and Controllability of diagonal Volterra equations with scalar inputs

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