• DocumentCode
    858048
  • Title

    A remark on the stability of interconnected nonlinear systems

  • Author

    Rapaport, A. ; Astolfi, A.

  • Author_Institution
    INRA-LASB, Montpellier, France
  • Volume
    49
  • Issue
    1
  • fYear
    2004
  • Firstpage
    120
  • Lastpage
    124
  • Abstract
    We use a notion of generalized L2-gain for nonlinear systems, where the gain is considered as a function of the state instead of a (global) constant, for characterizing stability properties of interconnected systems. The obtained results generalize the well-known small-gain theorem.
  • Keywords
    interconnected systems; nonlinear control systems; stability; L2-gain; interconnected nonlinear systems; small gain theorem; stability; state function; Asymptotic stability; Attenuation; Interconnected systems; Nonlinear systems; State-space methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.821407
  • Filename
    1259468
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=858048