• DocumentCode
    3084141
  • Title

    Perturbation analysis of algebraic matrix Riccati equations

  • Author

    Ran, André C M ; Rodman, Leiba

  • Author_Institution
    Fac. Wiskunde en Inf, Amsterdam, Netherlands
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    1855
  • Abstract
    The behavior of real symmetric solutions of an algebraic matrix Riccati equation is studied, when the coefficients of the equation are subject to perturbations. Various classes of stably behaved solutions are introduced, and a sample of results is given describing such solutions. The basic approach is via invariant subspaces of the Hamiltonian matrix
  • Keywords
    matrix algebra; perturbation techniques; Hamiltonian matrix; algebraic matrix Riccati equations; matrix algebra; perturbations; real symmetric solutions; Discrete wavelet transforms; Educational institutions; Eigenvalues and eigenfunctions; Lagrangian functions; Mathematics; Optimal control; Radio access networks; Riccati equations; Stability; Symmetric matrices;
  • 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.1990.203938
  • Filename
    203938