Geodesic
On a game problem of converging at a given instant of time
Sbornik. Mathematics, Tome 28 (1976) no. 3, pp. 353-376 
A. G. Chentsov. On a game problem of converging at a given instant of time. Sbornik. Mathematics, Tome 28 (1976) no. 3, pp. 353-376. http://geodesic.mathdoc.fr/item/SM_1976_28_3_a6/
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     title = {On a~game problem of converging at a~given instant of time},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Solution of the positional problem on the minimax functional $f_0(x[\vartheta])$ at a given instant $\vartheta$ is studied for the nonlinear, competitively controlled system $dx/dt=f(t,x,u,v)$. Iterative processes are proposed, permitting one to find the minimax of the payoff $f_0$ as a function of position, and also the sets of positional absorption. The cases are considered in which the indicated elements are determined after a single application of operators of special form to the program maximin function and the program absorption set. Bibliography: 18 titles.

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[18] A. G. Chentsov, “Ob usloviyakh stabilnosti differentsialnoi igry”, DAN SSSR, 215:4 (1974), 800–803 | Zbl