• DocumentCode
    823081
  • Title

    Matrix inequality solution to linear-quadratic singular control problems

  • Author

    Clements, David J. ; Anderson, Brian D O ; Moylan, Peter J.

  • Author_Institution
    University of New South Wales, Kensington, N.S.W., Australia
  • Volume
    22
  • Issue
    1
  • fYear
    1977
  • fDate
    2/1/1977 12:00:00 AM
  • Firstpage
    55
  • Lastpage
    57
  • Abstract
    The existence of a solution to a linear-quadratic singular control problem is equivalent to the existence of a solution to a certain matrix inequality. This paper studies an approach to solving the inequality, and identifies the maximal solution of the inequality as defining the performance index infimum for the control problem.
  • Keywords
    Australia; Controllability; Costs; Linear matrix inequalities; Performance analysis; Riccati equations; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101403
  • Filename
    1101403