• DocumentCode
    696999
  • Title

    Differential games on Lie groups

  • Author

    Kun, Gabor

  • Author_Institution
    Lehrstuhl C fur Math., RWTH Aachen, Aachen, Germany
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    7
  • Lastpage
    12
  • Abstract
    A new concept for nonlinear differential games on Lie groups is presented. This concept is a direct generalization of several topics, including right-invariant control systems on Lie groups, geodesic variational problems and of course linear-quadratic differential games on IRn. Besides introducing several definitions for games with and without boundary value problems, we discuss the well-posedness of the variational problem and show (in a special case) how to derive the optimal control laws of the players.
  • Keywords
    Lie groups; boundary-value problems; game theory; nonlinear systems; optimal control; variational techniques; Lie groups; boundary value problems; course linear-quadratic differential games; geodesic variational problems; nonlinear differential games; nonlinear systems; optimal control laws; right-invariant control systems; Algebra; Controllability; Games; Nash equilibrium; Optimal control; Controllability; Differential Games; Nash equilibria; Non-linear Systems; Optimal Control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7075873
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=696999