• DocumentCode
    1362741
  • Title

    Upper bounds for the eigenvalues of the solution of the discrete algebraic Lyapunov equation

  • Author

    Komaroff, N.

  • Author_Institution
    Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
  • Volume
    35
  • Issue
    4
  • fYear
    1990
  • fDate
    4/1/1990 12:00:00 AM
  • Firstpage
    468
  • Lastpage
    469
  • Abstract
    Upper bounds for summations including the trace, and for products including the determinant, of the eigenvalues of the solution of the discrete algebraic Lyapunov equation (DALE) are presented. All bounds are derived from the matrix series solution of the DALE. The majority of the bounds are tighter than those in the literature
  • Keywords
    Lyapunov methods; eigenvalues and eigenfunctions; matrix algebra; discrete algebraic Lyapunov equation; eigenvalues; matrix series; upper bounds; Algorithm design and analysis; Eigenvalues and eigenfunctions; Equations; Stability; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.52305
  • Filename
    52305