A Hamiltonian formulation of boundary control systems

B.M. Maschke, A.J. van der Schaft

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    Abstract

    A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes’ theorem. The definition is illustrated on the examples of the telegrapher’s equations, Maxwell’s equations, the vibrating string and Euler’s equations for fluid dynamics
    Original languageEnglish
    Title of host publicationPluralism in Distributed Parameter Systems
    Subtitle of host publicationUniversity of Twente, The Netherlands, 2–6 July, 2001
    EditorsRuth Curtain, Hans Zwart
    Place of PublicationEnschede
    PublisherUniversity of Twente
    Pages83-84
    Number of pages2
    Publication statusPublished - 2001
    EventPluralism in Distributed Parameter Systems 2001 - University of Twente, Enschede, Netherlands
    Duration: 2 Jul 20016 Jul 2001

    Workshop

    WorkshopPluralism in Distributed Parameter Systems 2001
    CountryNetherlands
    CityEnschede
    Period2/07/016/07/01

    Keywords

    • METIS-200907

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