A frequency domain solution to the sub-optimal Hankel norm approximation problem

A.J. Sasane, R.F. Curtain

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    Abstract

    An elementary proof is presented for sufficient conditions for the existence of a solution to the sub-optimal Hankel norm approximation problem for the class of matrix-valued continuous functions defined on the imaginary axis with limit $\;0\;$ at $\;\pm \infty\;$ in terms of a solution to a certain $\;J-$spectral factorization problem. All solutions are parameterized in terms of the $\;J-$spectral factor.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Faculty of Mathematical Sciences
    Number of pages22
    ISBN (Print)0169-2690
    Publication statusPublished - 2002

    Publication series

    NameMemorandum
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1653
    ISSN (Print)0169-2690

    Keywords

    • METIS-211627
    • MSC-93C25
    • MSC-47N70
    • MSC-47A57
    • EWI-3473
    • IR-65839

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