• DocumentCode
    1244577
  • Title

    An algorithm for checking stability of symmetric interval matrices

  • Author

    Rohn, Jiri

  • Author_Institution
    Fac. of Math. & Phys., Charles Univ., Prague, Czech Republic
  • Volume
    41
  • Issue
    1
  • fYear
    1996
  • fDate
    1/1/1996 12:00:00 AM
  • Firstpage
    133
  • Lastpage
    136
  • Abstract
    A branch-and-bound algorithm for checking Hurwitz and Schur stability of symmetric interval matrices is proposed. The algorithm in a finite number of steps either verifies stability or finds a symmetric matrix which is not stable. It can also be used for checking positive definiteness of asymmetric interval matrices
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; stability; Hurwitz stability; Schur stability; branch-and-bound; eigenvalues; symmetric interval matrices; Computer science; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mathematics; Physics; Robust control; Robust stability; Sufficient conditions; Symmetric matrices; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.481618
  • Filename
    481618