• DocumentCode
    2485471
  • Title

    Occupational Measures Formulation and Linear Programming Solution of Deterministic Long Run Average Problems of Optimal Control

  • Author

    Gaitsgory, Vladimir ; Rossomakhine, Sergey

  • Author_Institution
    Centre for Ind. & Applicable Math., South Australia Univ., Mawson Lakes, SA
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    5012
  • Lastpage
    5017
  • Abstract
    We present results establishing that deterministic long run average problems of optimal control are "asymptotically equivalent" to infinite dimensional linear programming problems (LPP) and that these LPP can be approximated by finite dimensional LPP, the solutions of which can be used for construction of the optimal controls. General results are illustrated by a numerical example
  • Keywords
    linear programming; optimal control; deterministic long run average problem; infinite dimensional linear programming problems; occupational measures; optimal control; Australia; Control systems; Equations; Extraterrestrial measurements; Lakes; Linear programming; Mathematics; Optimal control; Q measurement; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377568
  • Filename
    4178124