Transfer functions for infinite-dimensional systems

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    Abstract

    In this paper, we study three definitions of the transfer function for an infinite-dimensional system. The first one defines the transfer function as the expression $C(sI-A)^{-1}B+D$. In the second definition, the transfer function is defined as the quotient of the Laplace transform of the output and input, with initial condition zero. In the third definition, we introduce the transfer function as the quotient of the input and output, when the input and output are exponentials. We show that these definitions always agree on the right-half plane bounded to the left by the growth bound of the underlying semigroup, but that they may differ elsewhere.
    Original languageUndefined
    Title of host publicationProceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems
    EditorsB.L.M. de Moor, B. Motmans, J.C. Willems, P. van Dooren, V. Blondel
    Place of PublicationLeuven
    PublisherKatholieke Universiteit Leuven
    Pages-
    Number of pages5
    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

    • IR-70193
    • METIS-233461
    • MSC-93C25
    • EWI-16826
    • Infinite-dimensional system
    • Transfer function

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