Using System Theory and Energy Methods to Prove Existence of Non-linear PDE's

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    Abstract

    Consider a network with linear dynamics on the edges, and observation and control in the nodes. Assume that on the edges there is no damping, and so the dynamics can be described by an infinite-dimensional, port-Hamiltonian system. For general infinite-dimensional systems, the zero dynamics can be difficult to characterize and are sometimes ill-posed. However, for this class of systems the zero dynamics are shown to be well-defined. Using the underlying structure, simple characterizations and a constructive procedure can be obtained.
    Original languageUndefined
    Title of host publication5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNC 2015
    PublisherIFAC Proceedings
    Pages241-243
    Number of pages3
    ISBN (Print)2405-8963
    DOIs
    Publication statusPublished - 2015
    Event5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNC 2015 - Lyon, France
    Duration: 6 Jul 20157 Jul 2015
    Conference number: 5

    Publication series

    Name
    PublisherIFAC Proceedings
    Number13
    Volume48
    ISSN (Print)2405-8963

    Workshop

    Workshop5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNC 2015
    Abbreviated titleLHMNC
    CountryFrance
    CityLyon
    Period6/07/157/07/15

    Keywords

    • coupled wave equations
    • EWI-26572
    • zero dynamics
    • Port-Hamiltonian system
    • METIS-315602
    • Distributed-parameter systems
    • IR-99328
    • Boundary control
    • Networks

    Cite this

    Zwart, H. J. (2015). Using System Theory and Energy Methods to Prove Existence of Non-linear PDE's. In 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNC 2015 (pp. 241-243). IFAC Proceedings. https://doi.org/10.1016/j.ifacol.2015.10.246