• DocumentCode
    853850
  • Title

    Bounds in the Lyapunov matrix differential equation

  • Author

    Mori, T. ; Fukuma, N. ; Kuwahara, M.

  • Author_Institution
    Kyoto Univ. of Education, Kyoto, Japan
  • Volume
    32
  • Issue
    1
  • fYear
    1987
  • fDate
    1/1/1987 12:00:00 AM
  • Firstpage
    55
  • Lastpage
    57
  • Abstract
    Upper and lower bounds for the trace of the solution of the Lyapunov matrix differential equation are derived. It is shown that they are obtained as solutions to simple scalar differential equations. As a special case, the bounds for the stationary solution give ones for the solution to the Lyapunov algebraic equation.
  • Keywords
    Differential equations; Lyapunov matrix equations; Arithmetic; Circuits; Differential equations; Eigenvalues and eigenfunctions; Geometry; Linear matrix inequalities; Poles and zeros; Reduced order systems; Signal processing; System analysis and design;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104431
  • Filename
    1104431
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=853850