Nyquist stability test for a parabolic partial differential equation

Miklos Vajta

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    Abstract

    The paper describes a Nyquist stability test applied to a parabolic partial differential equation. The PDE describes the temperature distribution of composite structures with linear inner heat source. The distributed transfer functions have been developed by the transmission matrix method. To analyze the stability of the system we define a virtual feedback-loop and apply the Nyquist stability test. The method described is easy to use and avoids numerical problems arising from locating the infinite number of system poles by numerical approximation.
    Original languageEnglish
    Title of host publicationProceedings of the 19th IASTED International Conference on Modelling, Identification and Control
    EditorsM.H. Hamza
    Place of PublicationAnaheim, CA, USA
    PublisherIASTED/ACTA Press
    Pages296-299
    Number of pages4
    ISBN (Print)0-88986-282-6
    Publication statusPublished - 14 Feb 2000
    Event19th IASTED International Conference on Modelling, Identification and Control, MIC 2000 - Innsbruck, Austria
    Duration: 14 Feb 200017 Feb 2000
    Conference number: 19

    Conference

    Conference19th IASTED International Conference on Modelling, Identification and Control, MIC 2000
    Abbreviated titleMIC
    CountryAustria
    CityInnsbruck
    Period14/02/0017/02/00

    Keywords

    • Distributed-parameter systems
    • Partial differential equations
    • Nyquist stability test

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