• DocumentCode
    3176068
  • Title

    Analytic interpolation with degree constraints: the multivariable case

  • Author

    Takyar, Mir Shahrouz ; Georgiou, Tryphon T.

  • Author_Institution
    Univ. of Minnesota, Minneapolis
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    5182
  • Lastpage
    5187
  • Abstract
    We study (generic) minimal degree solutions of certain analytic interpolation for matrix-valued functions. More specifically, we consider a positive-real variant of the multivariable Nehari problem. Using recent results on the multivariable moment problem, we identify a natural family of "generically minimal" McMillan degree solutions.
  • Keywords
    interpolation; matrix algebra; multivariable control systems; analytic interpolation; generically minimal McMillan degree solution; matrix-valued functions; multivariable Nehari problem; multivariable moment problem; positive-real variant; Circuit theory; Cities and towns; Equations; Interpolation; Robust control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4283122
  • Filename
    4283122