Examples on Stability for Infinite-Dimensional Systems

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


    By means of examples, we study stability of infinite-dimensional linear and nonlinear systems. First we show that having a (strict) Lyapunov function does not imply asymptotic stability, even not for linear systems. Second, we show that to conclude (local) exponential stability from the linearization, care must be taken how the linearization is obtained.
    Original languageEnglish
    Title of host publicationMathematical Control Theory I
    EditorsM. Kanat Camlibel, R.P. Ramkrishna Pasumarthy, A. Agung Julius, Jacquelien M.A. Scherpen
    Place of PublicationLondon
    Number of pages6
    ISBN (Print)978-3-319-20987-6
    Publication statusPublished - 14 Jul 2015

    Publication series

    NameLecture Notes in Control and Information Sciences
    PublisherSpringer Verlag
    ISSN (Print)0170-8643


    • MSC-53C38
    • MSC-34H05
    • METIS-314962
    • IR-98399
    • EWI-26283

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