• DocumentCode
    825675
  • Title

    On norm bounds for algebraic Riccati and Lyapunov equations

  • Author

    Patel, R.V. ; Toda, M.

  • Author_Institution
    University of Waterloo, Waterloo, Ontario, Canada
  • Volume
    23
  • Issue
    1
  • fYear
    1978
  • fDate
    2/1/1978 12:00:00 AM
  • Firstpage
    87
  • Lastpage
    88
  • Abstract
    New lower bounds on the spectral norms of the positive definite solutions to the continuos and discrete algebraic matrix Riccati and Lyapunov equations are derived. These bounds are much easier to compute than previously available bounds and appear to be considerably tighter in many cases.
  • Keywords
    Algebraic Riccati equation (ARE); Lyapunov matrix equations; Riccati equations, algebraic; Automatic control; Councils; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrices; NASA; Riccati equations; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1978.1101676
  • Filename
    1101676