• DocumentCode
    848694
  • Title

    On some bounds in the algebraic Riccati and Lyanupov equations

  • Author

    Mori, T.

  • Author_Institution
    Universität de Hannover, Hannover, Germany
  • Volume
    30
  • Issue
    2
  • fYear
    1985
  • fDate
    2/1/1985 12:00:00 AM
  • Firstpage
    162
  • Lastpage
    164
  • Abstract
    Some bounds for the trace and determinant of the solution to the algebraic Riccati and Lyapunov matrix equations are presented. These bounds give information on "mean size" of the solution to the equations in a simple way. The obtained determinant bound for the Lyapunov equation shows the improvement over the previously reported one.
  • Keywords
    Algebraic Riccati equation (ARE); Determinants; Lyapunov matrix equations; Riccati equations, algebraic; Algebra; Circuits; Control theory; Error correction; Jacobian matrices; Magnetooptic recording; Mathematics; Observability; Polynomials; Riccati equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1985.1103913
  • Filename
    1103913