• DocumentCode
    1814401
  • Title

    A new solution of the Lyapunov equation

  • Author

    Antoulas, A.C. ; Sorensen, D.C.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
  • Volume
    3
  • fYear
    1999
  • fDate
    1999
  • Abstract
    We propose a way of solving the Lyapunov equation without computing eigenvalues. This method is related to the Schwarz form of a matrix. The solution can be obtained using the two-sided Lanczos approach by defining appropriate starting vectors
  • Keywords
    Lyapunov methods; controllability; matrix algebra; Lyapunov equation; Schwarz form; starting vectors; two-sided Lanczos approach; Eigenvalues and eigenfunctions; Equations; Inspection; Mathematics; Stability; Writing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.831345
  • Filename
    831345