• DocumentCode
    336607
  • Title

    A remark on integral input to state stability

  • Author

    Angeli, David ; Sontag, E.D. ; Wang, Yuan

  • Author_Institution
    Dipt. Sistemi e Inf., Florence Univ., Italy
  • Volume
    3
  • fYear
    1998
  • fDate
    1998
  • Firstpage
    2491
  • Abstract
    Integral input to state stability (IISS) is a notion which generalizes the concept of finite gain with respect to integral norms, in the same manner that input to state stability (ISS) generalizes the idea of finite gain with respect to supremum norms. This paper provides a necessary and sufficient characterization of the IISS property, stated in dissipation terms. It also provides a LaSalle-type invariance principle for ISS
  • Keywords
    Lyapunov methods; invariance; nonlinear systems; stability; LaSalle-type; Lyapunov method; finite gain; integral input to state stability; integral norms; invariance principle; necessary condition; nonlinear stabilisation; sufficient condition; supremum norms; Control systems; Extraterrestrial measurements; Gain; Integral equations; Lyapunov method; Mathematics; Robustness; Stability; Sufficient conditions; Terminology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.757800
  • Filename
    757800
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=336607