• DocumentCode
    3078171
  • Title

    Distance to the nearest uncontrollable pair and algebraic Riccati equation

  • Author

    Gahinet, Pascal U.

  • Author_Institution
    INRIA, Le Chesnay, France
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    273
  • Abstract
    A connection is established between nearness to unstabilizability of a stabilizable pair (A, B) of matrices, and nearness to singularity of the symmetric positive definite solution to an associated algebraic Riccati equation. From this result, computable upper and lower bounds are derived for the distance of (A, B) to the nearest uncontrollable pair
  • Keywords
    matrix algebra; stability criteria; algebraic Riccati equation; lower bounds; matrix algebra; nearest uncontrollable pair; nearness; stabilizable pair; upper bounds; Controllability; Costs; Riccati equations; Symmetric matrices; Testing; Upper bound; Vectors; Virtual reality;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/CDC.1990.203595
  • Filename
    203595
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3078171