On interconnections of infinite-dimensional port-Hamiltonian systems

R.P. Ramkrishna Pasumarthy, Arjan van der Schaft

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

    33 Downloads (Pure)

    Abstract

    Network modeling of complex physical systems leads to a class of nonlinear systems called port-Hamiltonian systems, which are defined with respect to a Dirac structure (a geometric structure which formalizes the power-conserving interconnection structure of the system). A power conserving interconnection of Dirac structures is again a Dirac structure. In this paper we study interconnection properties of mixed finite and infinite dimensional port-Hamiltonian systems and show that this interconnection again defines a port-Hamiltonian system. We also investigate which closed-loop port-Hamiltonian systems can be achieved by power conserving interconnections of finite and infinite dimensional port-Hamiltonian systems. Finally we study these results with particular reference to the transmission line.
    Original languageUndefined
    Title of host publicationProceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems
    Place of PublicationLeuven
    PublisherKatholieke Universiteit Leuven
    Pages-
    Number of pages12
    ISBN (Print)9056825178
    Publication statusPublished - 2004
    Event16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 - Leuven, Belgium
    Duration: 5 Jul 20049 Jul 2004
    Conference number: 16

    Publication series

    Name
    PublisherKatholieke Universiteit Leuven

    Conference

    Conference16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004
    Abbreviated titleMTNS
    CountryBelgium
    CityLeuven
    Period5/07/049/07/04

    Keywords

    • METIS-220145
    • EWI-16820
    • IR-69163

    Cite this

    Ramkrishna Pasumarthy, R. P., & van der Schaft, A. (2004). On interconnections of infinite-dimensional port-Hamiltonian systems. In Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (pp. -). Leuven: Katholieke Universiteit Leuven.