• DocumentCode
    3119642
  • Title

    Lyapunov-based approach for finite time stability and stabilization

  • Author

    Moulay, Emmanuel ; Perruquetti, Wilfrid

  • Author_Institution
    Laboratoire Paul Painlevé, UFR de Mathématiques Pures et Appliquées, Université des Sciences et Technologies de Lille and LAGIS (UMR-CNRS 8021), Ecole centrale de Lille, Cité Scientifique, 59651 Villeneuve d’Ascq Cedex, Fran
  • fYear
    2005
  • fDate
    12-15 Dec. 2005
  • Firstpage
    4742
  • Lastpage
    4747
  • Abstract
    Finite time stability is investigated for continuous system ẋ = f(x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems involving a class CL0−settling time for the closed-loop system. Finally an explicit feedback control is given using a control Lyapunov function verifying a certain inequality.
  • Keywords
    Continuous time systems; Electronic mail; Feedback control; Lyapunov method; Space technology; Stability; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
  • Print_ISBN
    0-7803-9567-0
  • Type

    conf

  • DOI
    10.1109/CDC.2005.1582911
  • Filename
    1582911
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3119642