Standard diffusive systems are well-posed linear systems

Denis Matignon, Heiko J. Zwart

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    Abstract

    The class of well-posed linear systems as introduced by Salamon has become a well-understood class of systems, see e.g. the work of Weiss and the book of Staffans. Many partial partial differential equations with boundary control and point observation can be formulated as a well-posed linear system. In parallel to the development of well-posed linear systems, the class of diffusive systems has been developed. This class is used to model systems for which the impulse response has a long tail, i.e., decays slowly, or systems with a diffusive nature, like the Lokshin model in acoustics. Another class of models arethe fractional differential equations, i.e., a system which has fractional powers of s in its transfer function
    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 pages2
    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-220141
    • MSC-93C25
    • EWI-16816
    • IR-70192

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