• DocumentCode
    434751
  • Title

    A representation of all bounded self-adjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator

  • Author

    Opmeer, Mark R. ; Iftime, Orest V.

  • Author_Institution
    Dept. of Math., Groningen Univ., Netherlands
  • Volume
    3
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    2865
  • Abstract
    In this paper a representation of all bounded self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional well-posed linear system Σ(A,B,C) with an unbounded observation operator is obtained. The assumptions imposed on the systems are: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible bounded nonnegative solution.
  • Keywords
    Riccati equations; linear systems; optimal control; bounded self-adjoint solutions; control algebraic Riccati equation; unbounded observation operator; well-posed linear system; Control systems; Control theory; Filtering; Linear systems; Mathematics; Nonlinear filters; Optimal control; Optimized production technology; Riccati equations; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428899
  • Filename
    1428899