• DocumentCode
    391164
  • Title

    Gain preserving Lyapunov functions for perturbed and controlled systems

  • Author

    Grüne, Lars

  • Author_Institution
    Fachbereich Math., Johann Wolfgang Goethe Univ., Frankfurt, Germany
  • Volume
    1
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    707
  • Abstract
    We present Lyapunov function characterizations for variants of the input-to-state stability property, which do not only imply the qualitative properties but also represent the robustness gains and attraction rates.
  • Keywords
    Lyapunov methods; asymptotic stability; controllability; nonlinear systems; partial differential equations; Lyapunov function characterizations; asymptotic stability; attraction rates; controllability; gain preserving Lyapunov functions; input-to-state stability; nonlinear systems; partial differential inequality; robustness; Asymptotic stability; Control systems; Controllability; Differential equations; Feedback; Lyapunov method; Nonlinear systems; Robust stability; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184587
  • Filename
    1184587