• DocumentCode
    2934543
  • Title

    Closed-Loop Nash Strategies for Singularly Perturbed Bilinear Quadratic Systems

  • Author

    Ning, Bin ; Chengke, Zhang ; Huainian, Zhu ; Peihong, Sun

  • Author_Institution
    Sch. of Manage., Guangdong Univ. of Technol., Guangzhou, China
  • Volume
    4
  • fYear
    2009
  • fDate
    26-27 Dec. 2009
  • Firstpage
    278
  • Lastpage
    282
  • Abstract
    This paper studies the Nash equilibrium for singularly perturbed bilinear quadratic problems, proposes a singularly perturbed fixed point iterative algorithm to solve cross-coupled algebraic Riccati equations, and further obtains the near-optimal Nash strategies. In the end, an implement method of the algorithm is presented.
  • Keywords
    Riccati equations; bilinear systems; closed loop systems; game theory; iterative methods; Nash equilibrium; closed-loop Nash strategies; cross-coupled algebraic Riccati equations; fixed point iterative algorithm; singularly perturbed bilinear quadratic systems; Conference management; Educational institutions; Engineering management; Financial management; Game theory; Innovation management; Iterative algorithms; Nash equilibrium; Nonlinear systems; Technology management; Nash equilibrium; bilinear system; closed-loop; singularly perturbed;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Management, Innovation Management and Industrial Engineering, 2009 International Conference on
  • Conference_Location
    Xi´an
  • Print_ISBN
    978-0-7695-3876-1
  • Type

    conf

  • DOI
    10.1109/ICIII.2009.528
  • Filename
    5370430