Stability and Stabilization of a Class of Boundary Control Systems

J.A. Villegas, Heiko J. Zwart, Y. Le Gorrec, B.M. Maschke, Arjan van der Schaft

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

    27 Citations (Scopus)
    97 Downloads (Pure)

    Abstract

    We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedance energy-preserving system, as well as scattering energy-preserving system. For the first type of systems we consider (static and dynamic) feedback stabilization by means of boundary control. For the scattering energy-preserving systems we give conditions for which the system is either asymptotically or exponentially stable.
    Original languageUndefined
    Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC
    Place of PublicationUSA
    PublisherIEEE
    Pages3850-3855
    Number of pages6
    ISBN (Print)0-7803-9568-9
    DOIs
    Publication statusPublished - Dec 2005
    Event44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005 - Melia Seville, Seville, Spain
    Duration: 12 Dec 200515 Dec 2005
    Conference number: 44

    Publication series

    Name
    PublisherIEEE
    Volume078039

    Conference

    Conference44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005
    Abbreviated titleCDC-ECC
    CountrySpain
    CitySeville
    Period12/12/0515/12/05

    Keywords

    • EWI-8282
    • METIS-225811
    • IR-53272

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