Boundary Control Systems and the System Node

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

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

    4 Citations (Scopus)

    Abstract

    In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator $ \mathcal{S}:= \left[ \begin{smallmatrix} A\& B\, \\ C\& D \end{smallmatrix}\right]:D(S) \rightarrow \vects{ X }{ Y }$ where $X$ is the state space and $Y$ is the output space. Here we give results which show how to find the top part of this operator and its domain in an easy way. For a class of boundary control systems, associated with a skew-symmetric differential operator, we completely identify the system node. Some results about stability and approximate observability are presented for this class of systems.
    Original languageUndefined
    Title of host publicationProceedings of the 16th IFAC World Congress
    EditorsP Horacek, M Simandl, P Zitek
    Place of PublicationAmsterdam
    PublisherInternational Federation of Automatic Control
    Pages-
    Number of pages6
    ISBN (Print)978-0-08-045108-4
    Publication statusPublished - Jul 2005
    Event16th IFAC World Congress 2005 - Prague, Czech Republic
    Duration: 3 Jul 20058 Jul 2005
    Conference number: 16
    http://www.utia.cas.cz/news/608

    Publication series

    Name
    PublisherElsevier

    Conference

    Conference16th IFAC World Congress 2005
    CountryCzech Republic
    CityPrague
    Period3/07/058/07/05
    Internet address

    Keywords

    • EWI-8283
    • IR-63719
    • METIS-225037

    Cite this

    Villegas, J. A., Le Gorrec, Y., Zwart, H. J., & van der Schaft, A. (2005). Boundary Control Systems and the System Node. In P. Horacek, M. Simandl, & P. Zitek (Eds.), Proceedings of the 16th IFAC World Congress (pp. -). Amsterdam: International Federation of Automatic Control.