On a~programmed construction in a~positional differential game
Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 877-886
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Given the system
$$
\frac{dx}{dt}=f(t,x,u,v),\qquad x(t_0)=x_0.
$$
sufficient conditions are considered for solving the game problem of convergence by a prescribed instant of time under mixed strategies. A programmed construction on the basis of generalized controls-measures is used to solve the problem. Necessary conditions for optimality of the programmed controls are studied.
Bibliography: 9 titles.
@article{IM2_1975_9_4_a9,
author = {V. D. Batukhtin and A. G. Chentsov},
title = {On a~programmed construction in a~positional differential game},
journal = {Izvestiya. Mathematics },
pages = {877--886},
publisher = {mathdoc},
volume = {9},
number = {4},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a9/}
}
V. D. Batukhtin; A. G. Chentsov. On a~programmed construction in a~positional differential game. Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 877-886. http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a9/