• DocumentCode
    808580
  • Title

    Explicit solution of the Lyapunov-matrix equation

  • Author

    Ziedan, I.E.

  • Author_Institution
    Assiut University, Assiut, Egypt
  • Volume
    17
  • Issue
    3
  • fYear
    1972
  • fDate
    6/1/1972 12:00:00 AM
  • Firstpage
    379
  • Lastpage
    381
  • Abstract
    An explicit solution for the matrix equation PA + A\´P = -Q is developed. The solution is presented in the form of a summation of n matrices. Each term in the summation is a function of the matrices Q and A as well as elements of the Schwarz form. A numerical example is considered to illustrate the method of solution.
  • Keywords
    Lyapunov matrix equations; Automatic control; Computational Intelligence Society; Equations; Laser sintering; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1099969
  • Filename
    1099969