• DocumentCode
    5972
  • Title

    A Maximum Principle for Optimal Control of Discrete-Time Stochastic Systems With Multiplicative Noise

  • Author

    Xiangyun Lin ; Weihai Zhang

  • Author_Institution
    Coll. of Math. & Syst. Sci., Shandong Univ. of Sci. & Technol., Qingdao, China
  • Volume
    60
  • Issue
    4
  • fYear
    2015
  • fDate
    Apr-15
  • Firstpage
    1121
  • Lastpage
    1126
  • Abstract
    The maximum principle (MP) for the discrete-time stochastic optimal control problems is proved. It is shown that the adjoint equations of the MP are a pair of backward stochastic difference equations.
  • Keywords
    difference equations; discrete time systems; maximum principle; stochastic processes; stochastic systems; MP; adjoint equations; backward stochastic difference equations; discrete-time stochastic optimal control problems; discrete-time stochastic systems; maximum principle; multiplicative noise; optimal control; Difference equations; Optimal control; Random sequences; Random variables; Stochastic systems; Trajectory; Backward stochastic difference equations; discrete-time stochastic systems; maximum principle;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2345243
  • Filename
    6868953