A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach

R.P. Ramkrishna Pasumarthy, Arjan van der Schaft

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    We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea where we use different finite elements for the approximation of geometric variables (forms) describing a infinite-dimensional system, to spatially discretize the system and obtain a finite-dimensional port-Hamiltonian system. In particular we take the example of a special case of the shallow water equations.
    Original languageUndefined
    Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control
    Place of PublicationUSA
    PublisherIEEE Control Systems Society
    Number of pages6
    ISBN (Print)1-4244-0171-2
    Publication statusPublished - 2006
    Event45th IEEE Conference on Decision and Control, CDC 2006 - San Diego, United States
    Duration: 13 Dec 200615 Dec 2006
    Conference number: 45

    Publication series

    Number1636734 (P
    ISSN (Print)0191-2216


    Conference45th IEEE Conference on Decision and Control, CDC 2006
    Abbreviated titleCDC
    Country/TerritoryUnited States
    CitySan Diego


    • EWI-9203
    • METIS-237952
    • IR-66917

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