Discrete port Hamiltonian systems

V. Talasila, J. Clemente-Gallardo, J.J. Clemente Gallardo, Arjan van der Schaft

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

    2 Citations (Scopus)

    Abstract

    Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.
    Original languageUndefined
    Title of host publicationProceedings of the 16th IFAC World Congress
    EditorsP Horacek, M Simandl, P Zitek
    Place of PublicationPrague
    PublisherInternational Federation of Automatic Control
    Pages495-500
    Number of pages9
    ISBN (Print)978-0-08-045108-4
    Publication statusPublished - 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
    Volume16

    Conference

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

    Keywords

    • METIS-225132
    • Port Hamiltonian Systems
    • Discrete mechanics
    • EWI-16870
    • IR-69170

    Cite this

    Talasila, V., Clemente-Gallardo, J., Clemente Gallardo, J. J., & van der Schaft, A. (2005). Discrete port Hamiltonian systems. In P. Horacek, M. Simandl, & P. Zitek (Eds.), Proceedings of the 16th IFAC World Congress (pp. 495-500). Prague: International Federation of Automatic Control.
    Talasila, V. ; Clemente-Gallardo, J. ; Clemente Gallardo, J.J. ; van der Schaft, Arjan. / Discrete port Hamiltonian systems. Proceedings of the 16th IFAC World Congress. editor / P Horacek ; M Simandl ; P Zitek. Prague : International Federation of Automatic Control, 2005. pp. 495-500
    @inproceedings{e5be0d45764a4d378b507c0b6e201c05,
    title = "Discrete port Hamiltonian systems",
    abstract = "Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.",
    keywords = "METIS-225132, Port Hamiltonian Systems, Discrete mechanics, EWI-16870, IR-69170",
    author = "V. Talasila and J. Clemente-Gallardo and {Clemente Gallardo}, J.J. and {van der Schaft}, Arjan",
    year = "2005",
    language = "Undefined",
    isbn = "978-0-08-045108-4",
    publisher = "International Federation of Automatic Control",
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    editor = "P Horacek and M Simandl and P Zitek",
    booktitle = "Proceedings of the 16th IFAC World Congress",

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    Talasila, V, Clemente-Gallardo, J, Clemente Gallardo, JJ & van der Schaft, A 2005, Discrete port Hamiltonian systems. in P Horacek, M Simandl & P Zitek (eds), Proceedings of the 16th IFAC World Congress. International Federation of Automatic Control, Prague, pp. 495-500, 16th IFAC World Congress 2005, Prague, Czech Republic, 3/07/05.

    Discrete port Hamiltonian systems. / Talasila, V.; Clemente-Gallardo, J.; Clemente Gallardo, J.J.; van der Schaft, Arjan.

    Proceedings of the 16th IFAC World Congress. ed. / P Horacek; M Simandl; P Zitek. Prague : International Federation of Automatic Control, 2005. p. 495-500.

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

    TY - GEN

    T1 - Discrete port Hamiltonian systems

    AU - Talasila, V.

    AU - Clemente-Gallardo, J.

    AU - Clemente Gallardo, J.J.

    AU - van der Schaft, Arjan

    PY - 2005

    Y1 - 2005

    N2 - Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.

    AB - Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.

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    KW - Discrete mechanics

    KW - EWI-16870

    KW - IR-69170

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    SN - 978-0-08-045108-4

    SP - 495

    EP - 500

    BT - Proceedings of the 16th IFAC World Congress

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    A2 - Zitek, P

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    ER -

    Talasila V, Clemente-Gallardo J, Clemente Gallardo JJ, van der Schaft A. Discrete port Hamiltonian systems. In Horacek P, Simandl M, Zitek P, editors, Proceedings of the 16th IFAC World Congress. Prague: International Federation of Automatic Control. 2005. p. 495-500