Building systems from simple hyperbolic ones

H. Zwart, Y. Le Gorrec, B. Maschke

    Research output: Contribution to journalArticleAcademicpeer-review

    5 Citations (Scopus)

    Abstract

    In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.’s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.
    Original languageEnglish
    Pages (from-to)1-6
    Number of pages6
    JournalSystems and control letters
    Volume91
    Early online date27 Feb 2016
    DOIs
    Publication statusPublished - May 2016

    Keywords

    • Impedance passive
    • Partial differential equation
    • Infinite-dimensional systems theory

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