• DocumentCode
    815719
  • Title

    On the existence of a nonpositive solution to the Riccati equation

  • Author

    Willems, Jan C.

  • Author_Institution
    University of Groningen, Groningen, The Netherlands
  • Volume
    19
  • Issue
    5
  • fYear
    1974
  • fDate
    10/1/1974 12:00:00 AM
  • Firstpage
    592
  • Lastpage
    593
  • Abstract
    The purpose of this correspondence is to correct a claim of [1]. Reference [1, theorem 4] states a necessary and sufficient frequency-domain condition for the existence of a nonpositive definite solution to the algebraic Riccati equation. This condition is, however, not correct, since the stated condition is necessary but not sufficient. This will be demonstrated by means of a counterexample.
  • Keywords
    Algebraic Riccati equation (ARE); Riccati equations, algebraic; Automatic control; Control systems; Costs; Feedback control; Gain; Linear matrix inequalities; Optimal control; Riccati equations; State feedback; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100667
  • Filename
    1100667
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=815719