Port Hamiltonian formulation of infinite dimensional systems: I. Modeling

Alessandro Macchelli, Arjan van der Schaft, Claudio Melchiorri

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    52 Citations (Scopus)
    135 Downloads (Pure)

    Abstract

    In this paper, some new results concerning the modeling of distributed parameter systems in port Hamiltonian form are presented. The classical finite dimensional port Hamiltonian formulation of a dynamical system is generalized in order to cope with the distributed parameter and multivariable case. The resulting class of infinite dimensional systems is quite general, thus allowing the description of several physical phenomena, such as heat conduction, piezoelectricity and elasticity. Furthermore, classical PDEs can be rewritten within this framework. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables.
    Original languageEnglish
    Title of host publicationProceedings of the 43rd IEEE Conference on Decision and Control 2004
    Place of PublicationPiscataway, NJ
    PublisherIEEE
    Pages3762-3767
    Number of pages6
    ISBN (Print)0-7803-8682-5
    DOIs
    Publication statusPublished - Dec 2004
    Event43rd IEEE Conference on Decision and Control, CDC 2004 - The Atlantis, Paradise Island, Bahamas
    Duration: 14 Dec 200417 Dec 2004
    Conference number: 43

    Publication series

    NameProceedings IEEE Conference on Decision and Control (CDC)
    PublisherIEEE
    Number43
    Volume2004
    ISSN (Print)0191-2216

    Conference

    Conference43rd IEEE Conference on Decision and Control, CDC 2004
    Abbreviated titleCDC
    Country/TerritoryBahamas
    CityParadise Island
    Period14/12/0417/12/04

    Keywords

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