Port Hamiltonian formulation of infinite dimensional systems I. Modeling

Alessandro Macchelli, A. Macchelli, Arjan van der Schaft, Claudio Melchiorri

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    43 Citations (Scopus)
    77 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 languageUndefined
    Title of host publicationProceedings of the 43rd IEEE Conference on Decision and Control
    Place of PublicationParadise Island, The Bahamas
    PublisherIEEE
    Pages3762-3767
    Number of pages6
    ISBN (Print)0-7803-8682-5
    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

    Name
    PublisherIEEE
    Volume4
    ISSN (Print)0191-2216

    Conference

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

    Keywords

    • IR-69160
    • METIS-220421
    • EWI-16813

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