Geodesic
Evasion problem in linear parametric discrete games
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 2, pp. 375-382

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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, pursuer, evader player, control, parameter, terminal set.
Mots-clés : evasion 
@article{CMFD_2023_69_2_a12,
     author = {L. P. Yugay},
     title = {Evasion problem in linear parametric discrete games},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {375--382},
     publisher = {mathdoc},
     volume = {69},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2023_69_2_a12/}
}
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L. P. Yugay. Evasion problem in linear parametric discrete games. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 2, pp. 375-382. http://geodesic.mathdoc.fr/item/CMFD_2023_69_2_a12/