• DocumentCode
    1811513
  • Title

    Lyapunov characterisations of input-output-to-state stability

  • Author

    Krichman, Mikhail ; Sontag, Eduardo D. ; Wang, Yuan

  • Author_Institution
    Dept. of Math., Rutgers Univ., NJ, USA
  • Volume
    3
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    2070
  • Abstract
    This paper explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function
  • Keywords
    Lyapunov methods; nonlinear systems; stability; Lyapunov characterisations; input-output-to-state stability; natural generalization; nonlinear systems; standard detectability property; Asymptotic stability; Control systems; Force measurement; Linear systems; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.831224
  • Filename
    831224
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1811513