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[00219] Approximation methods for solving pursuit-evasion differential game

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @G402
  • Type : Contributed Talk
  • Abstract : In this study we present an appropriate singular, zero-sum, linear-quadratic differential game. One of the main features of this game is that the weight matrix of the minimizer’s control cost in the cost functional is singular. Due to this singularity, the game cannot be solved either by applying the Isaacs MinMax principle, or the Bellman–Isaacs equation approach. As an application, we introduced an pursuit-evasion differential game with an appropriate regularized cost functional and developed an appropriate dual representation. Developing the variational derivatives of this regularized cost functional, we apply several approximation methods and show how the numerical results coincide with the dual representation.
  • Classification : 34H05, 49J15, 91A23, 90C90, 49N15
  • Format : Talk at Waseda University
  • Author(s) :
    • Oleg Kelis (Technion)
    • Oleg Kelis (The Technion—Israel Institute of Technology)