• DocumentCode
    306842
  • Title

    A new system invariant and an algebraic proof of the standard H∞ problem

  • Author

    Ariki, Susumu

  • Author_Institution
    Div. of Math., Tokyo Univ. of Mercantile Marine, Japan
  • Volume
    2
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    2342
  • Abstract
    In the famous paper of Doyle-Glover-Khargonecker-Francis (1989), a functional analysis approach is used to prove that the solvability of two Riccati equations with spectral condition is necessary, which is the most involved part of the theory. In this paper, we give a new elementary and more algebraic proof. The philosophy behind it is an invariant theoretic approach
  • Keywords
    H∞ control; Hermitian matrices; Riccati equations; invariance; Riccati equations; algebraic proof; functional analysis approach; standard H∞ problem; system invariant; Control systems; Etching; Feedback; Functional analysis; Joining processes; Mathematics; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.573131
  • Filename
    573131
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=306842