Evasion problem in linear parametric discrete games

L. P. Yugay

Uzbek State University of Physical Culture and Sport, Chirchiq, Uzbekistan

Abstract: We consider the evasion problem in the formulation by Pontryagin and Mishchenko for linear discrete games depending on a parameter. We obtain sufficient conditions and domains of parameter values that ensure the solvability of the evasion problem. The obtained results are applied to the solution of the evasion problem for the well-known problem in the theory of differential games “Isotropic Rockets”–“Boy and Crocodile” in the discrete version.

Keywords: differential game, discrete game, evasion, pursuer, evader player, control, parameter, terminal set.

UDC: 517.9

DOI: 10.22363/2413-3639-2023-69-2-375-382