• DocumentCode
    990706
  • Title

    Stability robustness of interval matrices via Lyapunov quadratic forms

  • Author

    Garofalo, F. ; Celentano, G. ; Glielmo, L.

  • Author_Institution
    Dipartimento di Inf. e Sistemistica, Napoli Univ., Italy
  • Volume
    38
  • Issue
    2
  • fYear
    1993
  • fDate
    2/1/1993 12:00:00 AM
  • Firstpage
    281
  • Lastpage
    284
  • Abstract
    A sufficient condition for the robust stability of a class of interval matrices is derived using the Lyapunov approach. The matrices considered have elements which are nonlinear functions of a vector of independent and bounded parameters. The robust stability condition requires that a quadratic form be positive definite in a finite number of conspicuous points of an enlarged parameter space
  • Keywords
    Lyapunov methods; matrix algebra; stability; Lyapunov quadratic forms; interval matrices; nonlinear functions; robust stability; sufficient condition; Differential equations; Lyapunov method; Parametric study; Polynomials; Robust stability; Size measurement; State estimation; Sufficient conditions; Testing; Uncertain systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.250472
  • Filename
    250472