• DocumentCode
    832972
  • Title

    Analysis of the Lyapunov equation using generalized positive real matrices

  • Author

    Dickinson, Bradley W.

  • Author_Institution
    Princeton University, Princeton, NJ, USA
  • Volume
    25
  • Issue
    3
  • fYear
    1980
  • fDate
    6/1/1980 12:00:00 AM
  • Firstpage
    560
  • Lastpage
    563
  • Abstract
    In this paper, a representation of the solution to the Lyapunov matrix equation is derived using generalized positive real matrices. As an application, some connections between the solution matrix and the classical Bezoutian matrix are made.
  • Keywords
    Lyapunov matrix equations; Positive real functions; Rational matrices; Eigenvalues and eigenfunctions; Equations; Stability; Sufficient conditions; Symmetric matrices; Terminology;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102391
  • Filename
    1102391
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=832972