• DocumentCode
    2805223
  • Title

    Continuity properties of solutions to H2 and H∞ Riccati equations

  • Author

    Stoorvogel, A.A. ; Saberi, A.

  • Author_Institution
    Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
  • Volume
    4
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    4335
  • Abstract
    In H2 and H∞ optimal control (semi-) stabilizing solutions of algebraic Riccati equations play an essential role. It is well-known that these solutions might have discontinuities as a function of the system parameters. The paper shows that these discontinuities are directly linked to nonleft-invertibility and, in contrast to what one might think, unrelated to zeros on the imaginary axis
  • Keywords
    H∞ control; Riccati equations; H∞ Riccati equations; H∞ optimal control; H2 Riccati equations; H2 optimal control; algebraic Riccati equations; continuity properties; imaginary axis zeros; nonleft-invertibility; semi-stabilizing solutions; Art; Eigenvalues and eigenfunctions; Feedback loop; H infinity control; Hydrogen; Linear matrix inequalities; Model driven engineering; Riccati equations; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478923
  • Filename
    478923
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2805223