• DocumentCode
    3171386
  • Title

    Minimax Team Decision Problems

  • Author

    Gattami, Ather ; Bernhardsson, Bo

  • Author_Institution
    Lund Univ., Lund
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    766
  • Lastpage
    771
  • Abstract
    We consider the problem of distributed decision making in a quadratic game between a team of players and nature. Each player has limited information that could be different from the other players in the team. We show that if there is a solution to the minimax team problem, then the linear policies are optimal, and we show how to find the linear optimal solution by solving a linear matrix inequality. The result is used to solve the distributed Hinfin control problem. It shows that information exchange with neighbours on the graph only, is enough to obtain a linear optimal policy.
  • Keywords
    Hinfin control; distributed decision making; game theory; linear matrix inequalities; minimax techniques; distributed Hinfin control problem; distributed decision making; linear matrix inequality; linear optimal policy; linear optimal solution; linear policy; minimax team decision problems; quadratic game; Cities and towns; Delay; Distributed control; Distributed decision making; Game theory; Helium; Linear matrix inequalities; Minimax techniques; Stochastic processes; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4282858
  • Filename
    4282858
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3171386