Stability and response bounds of non-conservative linear systems

Christian Pommer

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    Abstract

    For a linear system of second order differential equations the stability is studied by Lyapunov's direct method. The Lyapunov matrix equation is solved and a sufficient condition for stability is expressed by the system matrices. For a system which satisfies the condition for stability the Lyapunov function is used to derive amplitude bounds of displacement and velocity in the homogeneous as well as in the inhomogeneous case. The developed results are illustrated by examples.
    Original languageEnglish
    Title of host publication2003 International Conference Physics and Control. Proceedings.
    Volume4
    PublisherIEEE
    Publication date2003
    Pages 1106-1109
    ISBN (Print)0-7803-7939-X
    Publication statusPublished - 2003
    Event International Conference on Physics and Control (PHYSCON 2003) - St. Petersburg, Russian Federation
    Duration: 20 Aug 200322 Aug 2003

    Conference

    Conference International Conference on Physics and Control (PHYSCON 2003)
    CountryRussian Federation
    CitySt. Petersburg
    Period20/08/200322/08/2003

    Bibliographical note

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