• DocumentCode
    802424
  • Title

    On a deterministic theory of estimation and control

  • Author

    Johnson, Garth

  • Author_Institution
    IBM Federal Systems Division, Cambridge, MA, USA
  • Volume
    15
  • Issue
    1
  • fYear
    1970
  • fDate
    2/1/1970 12:00:00 AM
  • Firstpage
    125
  • Lastpage
    126
  • Abstract
    In a recent paper Johnson [1] outlined certain qualitative equivalences between linear deterministic control systems and linear stochastic optimal control systems. This note analyzes the equivalence properties in more detail and establishes a theorem on the inverse stochastic optimal control problem. This theorem is equivalent to Kalman´s circle criterion [2] for the restricted stationary case.
  • Keywords
    Inverse optimal control problem; Linear systems, stochastic; Optimal stochastic control; Stochastic optimal control; Stochastic systems, linear; Control systems; Controllability; Estimation theory; Filters; Observability; Optimal control; Riccati equations; Stability; Stochastic systems; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099378
  • Filename
    1099378