• DocumentCode
    3076059
  • Title

    Stability margins and Lyapunov equations for linear operators in Hilbert space

  • Author

    Gahinet, P. ; Sorine, M. ; Laub, A.J. ; Kenney, C.

  • Author_Institution
    INRIA, Le Chesnay, France
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    2638
  • Abstract
    The finite dimension concept of stability radius for linear time-invariant initial value problems is extended to semigroups in Hilbert space. The connection between stability robustness and the sensitivity of the Lyapunov equation is established. The issue of robust stability in the face of bounded additive perturbations of the semigroup generator is addressed
  • Keywords
    Lyapunov methods; group theory; initial value problems; stability criteria; Hilbert space; Lyapunov equations; bounded additive perturbations; finite dimension concept; linear operators; linear time-invariant initial value problems; semigroups; stability margins; stability radius; Differential equations; Hilbert space; Lyapunov method; Robust stability; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/CDC.1990.203444
  • Filename
    203444
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3076059