• DocumentCode
    2476457
  • Title

    Nash and Minimax Bi-Cumulant Games

  • Author

    Diersing, Ronald W. ; Sain, Michael K.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Temple Univ., Philadelphia, PA
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    2571
  • Lastpage
    2576
  • Abstract
    Cumulants have been gaining interest in control lately. This paper applies cumulants to the area of game theory and gives sufficient conditions for nonzero and zero sum games to a class of nonlinear systems. With a linear system and quadratic costs, Nash and minimax equilibrium solutions are found. The games consider the finite time horizon, state feedback problem. Special cases of these methods reduce to the H2/Hinfin and Hinfin control problems, so that a generalization is achieved
  • Keywords
    Hinfin control; game theory; nonlinear control systems; state feedback; H2/Hinfin control; Hinfin control; Nash equilibrium; finite time horizon; game theory; minimax equilibrium; nonlinear systems; nonzero games; state feedback; sufficient conditions; zero sum games; Costs; Differential equations; Game theory; Hydrogen; Linear systems; Minimax techniques; Nonlinear systems; Stochastic processes; Sufficient conditions; 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.2006.376921
  • Filename
    4177656
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2476457