Well-posedness and regularity for a class of hyperbolic boundary control systems

Heiko J. Zwart, Yann Le Gorrec, B.M. Maschke, J.A. Villegas

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.
    Original languageUndefined
    Title of host publicationProceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
    EditorsY Yamamoto
    Place of PublicationKyoto
    PublisherIEEE Signal Processing Society
    Pages1379-1383
    Number of pages5
    ISBN (Print)not assigned
    Publication statusPublished - 28 Jul 2006
    Event17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan
    Duration: 24 Jul 200628 Jul 2006
    Conference number: 17

    Publication series

    Name
    Numbersupplement

    Conference

    Conference17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006
    Abbreviated titleMTNS
    CountryJapan
    CityKyoto
    Period24/07/0628/07/06

    Keywords

    • MSC-93B11
    • MSC-93C20
    • IR-63697
    • METIS-237626
    • EWI-8187

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