Port contact systems for irreversible thermodynamical systems

D. Eberard, B.M. Maschke, Arjan van der Schaft

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

    18 Citations (Scopus)
    53 Downloads (Pure)

    Abstract

    In this paper we propose a definition of control contact systems, generalizing input-output Hainiltonian systems, to cope with models arising from irreversible Thermodynamics. We exhibit a particular subclass of these systems, called conservative, that leaves invariant some Legendre submanifold (the geometric structures associated with thermodynamic properties). These systems, both energy-preserving and irreversible, are then used to analyze the loss-lessness of these systems with respect to different generating functions.
    Original languageUndefined
    Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05)
    Place of PublicationSeville
    PublisherIEEE
    Pages5977-5982
    Number of pages6
    ISBN (Print)0-7803-9567-0
    DOIs
    Publication statusPublished - Dec 2005
    Event44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005 - Melia Seville, Seville, Spain
    Duration: 12 Dec 200515 Dec 2005
    Conference number: 44

    Publication series

    Name
    PublisherIEEE

    Conference

    Conference44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005
    Abbreviated titleCDC-ECC
    CountrySpain
    CitySeville
    Period12/12/0515/12/05

    Keywords

    • Port Hamiltonian Systems
    • Loss-less systems
    • EWI-16855
    • vector fields
    • IR-69167
    • METIS-228694
    • Irreversible Thermodynamics

    Cite this

    Eberard, D., Maschke, B. M., & van der Schaft, A. (2005). Port contact systems for irreversible thermodynamical systems. In Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05) (pp. 5977-5982). [10.1109/CDC.2005.1583118] Seville: IEEE. https://doi.org/10.1109/CDC.2005.1583118