• DocumentCode
    2817667
  • Title

    Generalization of a solution to Sylvester matrix equation

  • Author

    Kase, Wataru

  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    5341
  • Lastpage
    5346
  • Abstract
    Recently, a solution to the second-order Sylvester matrix equation was presented which did not depend on the Jordan form of a matrix F. Unfortunately, it was not shown some adequate schemes to calculation to the solution. In this paper, it will be shown that the idea can be used for the general-order equation. It will be also presented a calculation of minimal basis in polynomial vector space can be used for the solution to the general-order Sylvester matrix equation.
  • Keywords
    matrix algebra; polynomials; Sylvester matrix equation; general-order equation; polynomial vector space; Bismuth; Control systems; Damping; Eigenvalues and eigenfunctions; Equations; Linear systems; Polynomials; USA Councils; Vectors; general solutions; generalized Sylvester matrix equation; polynomial matrix;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434204
  • Filename
    4434204