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On Moment Theory and Controllability

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Advances in Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 382))

Abstract

We consider boundary control problems for vibrating media of one space dimension and investigate the question under which conditions a given class of initial states can be controlled to a state of rest by controls taken from Sobolev spaces \( w_0^{1,p}[0,T] \) [0,T] for some T > 0 and 2 ≤ p < ∞ and applied to one boundary condition. This problem is turned into an infinite moment problem which is investigated with respect to solvability.

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik der Technischen, Hochschule Darmstadt, Schloßgartenstr. 7, D-6100, Darmstadt, Germany

    Werner Krabs

Authors
  1. Werner Krabs
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Mathematik VII Fakultät für Mathematik und Informatik, Universität Mannheim, Schloß, W-6800, Mannheim, Germany

    Werner Oettli

  2. Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Postfach 6980, W-7500, Karlsruhe 1, Germany

    Diethard Pallaschke

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© 1992 Springer-Verlag Berlin Heidelberg

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Krabs, W. (1992). On Moment Theory and Controllability. In: Oettli, W., Pallaschke, D. (eds) Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51682-5_23

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  • DOI: https://doi.org/10.1007/978-3-642-51682-5_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55446-2

  • Online ISBN: 978-3-642-51682-5

  • eBook Packages: Springer Book Archive

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