Building systems from simple hyperbolic ones

Heiko J. Zwart, Y. Le Gorrec, B. Maschke

    Research output: Contribution to journalArticleAcademicpeer-review

    4 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 languageUndefined
    Pages (from-to)1-6
    Number of pages6
    JournalSystems and control letters
    Volume91
    DOIs
    Publication statusPublished - May 2016

    Keywords

    • EWI-27416
    • Impedance passive
    • IR-102386
    • Partial differential equation
    • METIS-319478
    • Infinite-dimensional systems theory

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