• DocumentCode
    829522
  • Title

    On bounds of Lyapunov´s matrix equation

  • Author

    Geromel, J.C. ; Bernussou, J.

  • Author_Institution
    Universidade Estadual de Campinas, Brazil
  • Volume
    24
  • Issue
    3
  • fYear
    1979
  • fDate
    6/1/1979 12:00:00 AM
  • Firstpage
    482
  • Lastpage
    483
  • Abstract
    In this paper, new bounds are given for the matrix solution of the Lyapunov equation A\´P+ PA+Q=0 . It is shown that it is always possible to achieve a lower bound, while the upper bound can be obtained for a specified class of Q matrices which is given. The results are compared to those given in [1] through some examples.
  • Keywords
    Lyapunov matrix equations; Automatic control; Covariance matrix; Equations; Matrices; Performance evaluation; Polynomials; Stability; System testing; Transfer functions; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1979.1102053
  • Filename
    1102053