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On a programmed construction in a positional differential game
V. D. Batukhtin, A. G. Chentsov
Abstract:
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.
Received: 19.04.1974
Citation:
V. D. Batukhtin, A. G. Chentsov, “On a programmed construction in a positional differential game”, Math. USSR-Izv., 9:4 (1975), 877–886
Linking options:
https://www.mathnet.ru/eng/im2065https://doi.org/10.1070/IM1975v009n04ABEH001503 https://www.mathnet.ru/eng/im/v39/i4/p926
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