• DocumentCode
    966899
  • Title

    An extension of a stochastic control theorem due to Whittle

  • Author

    Lefebvre, M.

  • Author_Institution
    Dept. of Math. Appl., Ecole Polytech., Montreal, Que., Canada
  • Volume
    34
  • Issue
    5
  • fYear
    1989
  • fDate
    5/1/1989 12:00:00 AM
  • Firstpage
    567
  • Lastpage
    568
  • Abstract
    P. Whittle (1982) has obtained a theorem that gives the optimal control in terms of a mathematical expectation for the uncontrolled process for a certain class of processes. The type of cost function that he considered involves the state variable only at termination. Here, his result is extended to the case when the cost function involves the state variable both at termination and along the way. An example is given
  • Keywords
    optimal control; stochastic systems; Whittle theorem; cost function; optimal control; state variable; stochastic control theorem; Boundary conditions; Control systems; Cost function; Councils; Equations; Noise measurement; Optimal control; Stochastic processes; Symmetric matrices; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.24219
  • Filename
    24219