• DocumentCode
    1036758
  • Title

    On stability of interval matrices

  • Author

    Sezer, M.E. ; Siljak, D.D.

  • Author_Institution
    Bilkent Univ., Ankara, Turkey
  • Volume
    39
  • Issue
    2
  • fYear
    1994
  • fDate
    2/1/1994 12:00:00 AM
  • Firstpage
    368
  • Lastpage
    371
  • Abstract
    New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the Morishima matrix. The obtained results are extended to cover convex combinations of interval matrices
  • Keywords
    matrix algebra; stability; stability criteria; M-matrices; Morishima matrix; Schur-Hurwitz stability; connective stability; dynamic systems; interval matrices; necessary conditions; off-diagonal elements; sign patterns; sufficient conditions; Adaptive control; Filtering; Kalman filters; Least squares approximation; Parameter estimation; Robust stability; Stability analysis; Stochastic processes; Stochastic systems; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.272336
  • Filename
    272336