• DocumentCode
    799420
  • Title

    Higher order derivatives of Liapunov functions

  • Author

    Butz, Andreas

  • Author_Institution
    Northwestern University, Evanston, IL, USA
  • Volume
    14
  • Issue
    1
  • fYear
    1969
  • fDate
    2/1/1969 12:00:00 AM
  • Firstpage
    111
  • Lastpage
    112
  • Abstract
    The problem considered is that of inferring asymptotic stability by examining higher order derivatives of a Liapunov function when examination of only the first derivative does not permit such an inference. It is shown that a seemingly plausible approach using only \\dot{V} and \\ddot{V} is vacuous. It is also shown that it is possible to infer asymptotic stability by examining \\dot{V} and \\ddot{V} , and perhaps \\ddot{V} .
  • Keywords
    Asymptotic stability; Lyapunov functions; Asymptotic stability; Control systems; Control theory; Delay effects; Inference algorithms; Linear systems; Nonlinear equations; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1969.1099092
  • Filename
    1099092
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=799420