• DocumentCode
    1006951
  • Title

    Stability of interval matrices: the real eigenvalue case

  • Author

    Rohn, Jiri

  • Author_Institution
    Dept. of Appl. Math., Charles Univ., Prague, Czechoslovakia
  • Volume
    37
  • Issue
    10
  • fYear
    1992
  • fDate
    10/1/1992 12:00:00 AM
  • Firstpage
    1604
  • Lastpage
    1605
  • Abstract
    C.V. Hollot and A.C. Bartlett (1987) showed that testing at most 2 to the n2 certain matrices for stability is sufficient for verifying stability of an n×n interval matrix with real eigenvalues. It is proven that this upper bound can be reduced to 22n-1, and a special case where testing only two matrices is needed is considered
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; stability criteria; interval matrix; matrix algebra; real eigenvalues; stability; upper bound; Artificial intelligence; Computer aided software engineering; Eigenvalues and eigenfunctions; Geometry; Mathematics; Polynomials; Stability; Testing; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256393
  • Filename
    256393
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1006951