• DocumentCode
    807270
  • Title

    On the optimal control of stochastic linear systems

  • Author

    Tse, Edison

  • Author_Institution
    Systems Control, Inc., Palo Alto, CA
  • Volume
    16
  • Issue
    6
  • fYear
    1971
  • fDate
    12/1/1971 12:00:00 AM
  • Firstpage
    776
  • Lastpage
    785
  • Abstract
    The problem of controlling stochastic linear systems with quadratic criteria is considered. It is proved that the optimal control law can be realized by the cascade of a Kalman filter and a linear feedback. The importance of different assumptions required in this proof is discussed in detail. This discussion provides some motivation for different extension results.
  • Keywords
    Linear systems, stochastic continuous-time; Optimal stochastic control; Stochastic optimal control; Control systems; Feedback; Gaussian processes; Linear systems; Maximum likelihood detection; Optimal control; Stochastic processes; Stochastic resonance; Stochastic systems; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1971.1099840
  • Filename
    1099840