Functional model realizations for Schur functions on C+

Mikael Kurula, Joseph A. Ball, Olof J. Staffans, Heiko J. Zwart

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    Abstract

    For an arbitrary given operator Schur function defined on the complex right-half plane, we give a controllable energy-preserving and an observable co-energy-preserving de Branges-Rovnyak functional model realization. Topics appearing only in the right-half-plane setting, such as the extrapolation space, are also discussed.
    Original languageEnglish
    Title of host publicationProceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014)
    Place of PublicationGroningen
    PublisherUniversity of Groningen
    Pages1837-1840
    Number of pages4
    ISBN (Print)978-90-367-6321-9
    Publication statusPublished - 7 Jul 2014
    Event21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands
    Duration: 7 Jul 201411 Jul 2014
    Conference number: 21

    Conference

    Conference21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
    Abbreviated titleMTNS
    CountryNetherlands
    CityGroningen
    Period7/07/1411/07/14

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    Keywords

    • MSC-93B15
    • MSC-47A48
    • METIS-309920
    • MSC-47B32
    • IR-94615
    • EWI-25781

    Cite this

    Kurula, M., Ball, J. A., Staffans, O. J., & Zwart, H. J. (2014). Functional model realizations for Schur functions on C+. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014) (pp. 1837-1840). Groningen: University of Groningen.