• DocumentCode
    1726055
  • Title

    On the equivalence between asymptotic and exponential stability, and between ISS and finite H∞ gain

  • Author

    Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian

  • Author_Institution
    Fachbereich Math., Frankfurt Univ., Germany
  • Volume
    2
  • fYear
    1999
  • fDate
    6/21/1905 12:00:00 AM
  • Firstpage
    1220
  • Abstract
    We show that uniformly global asymptotic stability and input-to-state stability for a family of ordinary differential equations are equivalent to uniformly global exponential stability and a nonlinear H∞ estimate, respectively, under suitable nonlinear changes of variables
  • Keywords
    H∞ control; asymptotic stability; differential equations; nonlinear control systems; ISS; exponential stability; finite H∞ gain; input-to-state stability; nonlinear H∞ estimate; nonlinear changes of variables; ordinary differential equations; uniformly global asymptotic stability; uniformly global exponential stability; Asymptotic stability; Control theory; Differential equations; Level set; Linear systems; Linearization techniques; 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.1999.830097
  • Filename
    830097
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1726055