• DocumentCode
    814680
  • Title

    Stabilizing a discrete, constant, linear system with application to iterative methods for solving the Riccati equation

  • Author

    Kleinman, David L.

  • Author_Institution
    University of Connecticut, Storrs, CT, USA
  • Volume
    19
  • Issue
    3
  • fYear
    1974
  • fDate
    6/1/1974 12:00:00 AM
  • Firstpage
    252
  • Lastpage
    254
  • Abstract
    A constructive proof is given for easily finding constant feedback gains that stabilize a linear, time-invariant, discrete system. The results are directly applicable to initializing certain iterative methods that find steady-state gains for the discrete optimal regulator.
  • Keywords
    Algebraic Riccati equation (ARE); Linear systems, time-invariant discrete-time; Optimal regulators; Riccati equations, algebraic; Control systems; Cost function; Eigenvalues and eigenfunctions; Feedback control; Iterative methods; Linear systems; Programming; Regulators; Riccati equations; Steady-state;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100565
  • Filename
    1100565