• DocumentCode
    801614
  • Title

    Optimal stationary control of linear systems with control-dependent noise

  • Author

    Kleinman, David L.

  • Author_Institution
    Bolt, Beranek, and Newman, Inc., Cambridge, MA, USA
  • Volume
    14
  • Issue
    6
  • fYear
    1969
  • fDate
    12/1/1969 12:00:00 AM
  • Firstpage
    673
  • Lastpage
    677
  • Abstract
    Optimal stochastic control is investigated for linear systems in which the intensity of the driving noise is proportional to control input. Conditions are given under which an optimal control always exists. It is shown that the optimal control is linear in the system state. A convergent algorithm is developed for computing the optimal feedback gains.
  • Keywords
    Linear systems, time-invariant continuous-time; Optimal stochastic control; Stochastic optimal control; Automatic control; Control system synthesis; Control systems; Equations; Feedback; Humans; Linear systems; Optimal control; Proportional control; Random processes;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1969.1099303
  • Filename
    1099303