• DocumentCode
    997862
  • Title

    Condition Numbers of the Generalized Sylvester Equation

  • Author

    Lin, Yiqin ; Wei, Yimin

  • Author_Institution
    Hunan Univ. of Sci. & Eng., Yongzhou
  • Volume
    52
  • Issue
    12
  • fYear
    2007
  • Firstpage
    2380
  • Lastpage
    2385
  • Abstract
    This note is devoted to the perturbation analysis for the generalized Sylvester equations (AX-YB, DX-YE)= (C, F), which have some important applications in control and system theory. Expressions and upper bounds for normwise, mixed, and componentwise condition numbers are presented. The results are illustrated by numerical examples.
  • Keywords
    number theory; perturbation theory; condition number; generalized Sylvester equation; perturbation analysis; system theory; Control systems; Eigenvalues and eigenfunctions; Laboratories; Mathematics; Nonlinear equations; Riccati equations; Upper bound; Condition number; generalized Sylvester equation; perturbation analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2007.910727
  • Filename
    4395192
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=997862