• DocumentCode
    1666013
  • Title

    Game-based control systems: A semi-tensor product formulation

  • Author

    Daizhan Cheng ; Yin Zhao

  • Author_Institution
    Inst. of Syst. Sci., Beijing, China
  • fYear
    2012
  • Firstpage
    1691
  • Lastpage
    1695
  • Abstract
    A class of control systems, which are emerged from dynamic games, are considered. Using semi-tensor product of matrices, the set of strategies can be described as a set of matrices. Then the dynamics of such systems can be converted from logical type dynamics into standard discrete-time dynamic systems. Hence, the classical techniques for control systems are applicable to such systems. Semi-tensor product formulation of such systems is investigated. Some related optimal control problems are also investigated.
  • Keywords
    discrete time systems; game theory; matrix algebra; optimal control; tensors; discrete-time dynamic system; dynamic games; game-based control system; logical type dynamics; optimal control problem; semitensor product formulation; Aerospace electronics; Control theory; Games; Nash equilibrium; Optimal control; Power system dynamics; Dynamic game; Nash equilibrium; optimal control; payoff function; semi-tensor product;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Automation Robotics & Vision (ICARCV), 2012 12th International Conference on
  • Conference_Location
    Guangzhou
  • Print_ISBN
    978-1-4673-1871-6
  • Electronic_ISBN
    978-1-4673-1870-9
  • Type

    conf

  • DOI
    10.1109/ICARCV.2012.6485403
  • Filename
    6485403