Riesz spectral systems

B.Z. Guo, Heiko J. Zwart

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    Abstract

    In this paper we study systems in which the system operator, $A$, has a Riesz basis of (generalized) eigenvectors. We show that this class is subset of the class of spectral operators as studied by Dunford and Schwartz. For these systems we investigate several system theoretic properties, like stability and controllability. We apply our theory to Euler-Bernoulli beam with structural damping.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages22
    Publication statusPublished - 2001

    Publication series

    NameMemorandum
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1594
    ISSN (Print)0169-2690

    Keywords

    • MSC-93C25
    • IR-65781
    • EWI-3414
    • MSC-47A70

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