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.
    Villegas, J.A. ; Le Gorrec, Y. ; Zwart, Heiko J. ; van der Schaft, Arjan. / Boundary Control Systems and the System Node. Proceedings of the 16th IFAC World Congress. editor / P Horacek ; M Simandl ; P Zitek. Amsterdam : International Federation of Automatic Control, 2005. pp. -
    @inproceedings{bcf7b40fc5964e4e97c3e714400d35c6,
    title = "Boundary Control Systems and the System Node",
    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.",
    keywords = "EWI-8283, IR-63719, METIS-225037",
    author = "J.A. Villegas and {Le Gorrec}, Y. and Zwart, {Heiko J.} and {van der Schaft}, Arjan",
    year = "2005",
    month = "7",
    language = "Undefined",
    isbn = "978-0-08-045108-4",
    publisher = "International Federation of Automatic Control",
    pages = "--",
    editor = "P Horacek and M Simandl and P Zitek",
    booktitle = "Proceedings of the 16th IFAC World Congress",

    }

    Villegas, JA, Le Gorrec, Y, Zwart, HJ & 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. International Federation of Automatic Control, Amsterdam, pp. -, 16th IFAC World Congress 2005, Prague, Czech Republic, 3/07/05.

    Boundary Control Systems and the System Node. / Villegas, J.A.; Le Gorrec, Y.; Zwart, Heiko J.; van der Schaft, Arjan.

    Proceedings of the 16th IFAC World Congress. ed. / P Horacek; M Simandl; P Zitek. Amsterdam : International Federation of Automatic Control, 2005. p. -.

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

    TY - GEN

    T1 - Boundary Control Systems and the System Node

    AU - Villegas, J.A.

    AU - Le Gorrec, Y.

    AU - Zwart, Heiko J.

    AU - van der Schaft, Arjan

    PY - 2005/7

    Y1 - 2005/7

    N2 - 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.

    AB - 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.

    KW - EWI-8283

    KW - IR-63719

    KW - METIS-225037

    M3 - Conference contribution

    SN - 978-0-08-045108-4

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    BT - Proceedings of the 16th IFAC World Congress

    A2 - Horacek, P

    A2 - Simandl, M

    A2 - Zitek, P

    PB - International Federation of Automatic Control

    CY - Amsterdam

    ER -

    Villegas JA, Le Gorrec Y, Zwart HJ, van der Schaft A. Boundary Control Systems and the System Node. In Horacek P, Simandl M, Zitek P, editors, Proceedings of the 16th IFAC World Congress. Amsterdam: International Federation of Automatic Control. 2005. p. -