• DocumentCode
    706923
  • Title

    The analytic center of LMI´s and Riccati equations

  • Author

    Genin, Y. ; Nesterov, Y. ; van Dooren, P.

  • Author_Institution
    CESAME, Univ. Catholique de Louvain, Louvain-La-Neuve, Belgium
  • fYear
    1999
  • fDate
    Aug. 31 1999-Sept. 3 1999
  • Firstpage
    3483
  • Lastpage
    3487
  • Abstract
    In this paper we derive formulas for constructing the analytic center of the linear matrix inequality defining a positive (para-hermitian) transfer function. The Riccati equations that are usually associated with such positive transfer functions, are related to boundary points of the convex set. In this paper we show that the analytic center is also described by a closely related equation, and we analyze its spectral properties.
  • Keywords
    Riccati equations; linear matrix inequalities; Riccati equations; linear matrix inequality; positive transfer functions; spectral properties; Convex functions; Discrete-time systems; Eigenvalues and eigenfunctions; Gold; Linear matrix inequalities; Riccati equations; Transfer functions; Linear Matrix Inequality; Riccati Equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1999 European
  • Conference_Location
    Karlsruhe
  • Print_ISBN
    978-3-9524173-5-5
  • Type

    conf

  • Filename
    7099868
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=706923