• DocumentCode
    1326480
  • Title

    Characterization of the strict bounded real condition of nonlinear systems

  • Author

    Imura, Jun-ichi ; Sugie, Toshiharu ; Yoshikawa, Tsuneo

  • Author_Institution
    Fac. of Eng., Hiroshima Univ., Japan
  • Volume
    42
  • Issue
    10
  • fYear
    1997
  • fDate
    10/1/1997 12:00:00 AM
  • Firstpage
    1459
  • Lastpage
    1464
  • Abstract
    This paper is concerned with the strict bounded real condition of nonlinear systems, which plays an important role in the nonlinear H∞-control theory. Namely, a necessary and sufficient condition for nonlinear systems to be internally asymptotically stable and to have the L2 gain <γ is given via the Hamilton-Jacobi equation with a stabilizing solution, although some assumptions are required
  • Keywords
    H∞ control; asymptotic stability; control system analysis; nonlinear systems; state feedback; H∞-control; Hamilton-Jacobi equation; L2 gain; asymptotic stability; nonlinear systems; state feedback; strict bounded real condition; Ellipsoids; Least squares approximation; Least squares methods; Linear regression; Measurement uncertainty; Nonlinear systems; Recursive estimation; Signal processing algorithms; Testing; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.633839
  • Filename
    633839
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1326480