• DocumentCode
    811732
  • Title

    On the discrete time algebraic Riccati equation

  • Author

    Silverman, Lee

  • Volume
    18
  • Issue
    3
  • fYear
    1973
  • fDate
    6/1/1973 12:00:00 AM
  • Firstpage
    226
  • Lastpage
    234
  • Abstract
    A detailed account of the properties of a class of algebraic Riccati equations which arise in discrete time control and filtering problems is given. It is shown that a generalized notion of detectability plays an important role in classifying solutions of these equations. This concept is also related to a minimum phase condition.
  • Keywords
    Discrete time Riccati equations; Linear systems, time-invariant discrete-time; Optimal control; Riccati equations, discrete-time; Cost function; Filtering; MIMO; Output feedback; Regulators; Riccati equations; Stability; Standards development; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1973.1100280
  • Filename
    1100280