Geodesic
On the game problem of convergence at a given moment of time
Izvestiya. Mathematics, Tome 12 (1978) no. 2, pp. 426-437 
A. G. Chentsov. On the game problem of convergence at a given moment of time. Izvestiya. Mathematics, Tome 12 (1978) no. 2, pp. 426-437. http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a12/
@article{IM2_1978_12_2_a12,
     author = {A. G. Chentsov},
     title = {On the game problem of convergence at a~given moment of time},
     journal = {Izvestiya. Mathematics},
     pages = {426--437},
     year = {1978},
     volume = {12},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a12/}
}
TY  - JOUR
AU  - A. G. Chentsov
TI  - On the game problem of convergence at a given moment of time
JO  - Izvestiya. Mathematics
PY  - 1978
SP  - 426
EP  - 437
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a12/
LA  - en
ID  - IM2_1978_12_2_a12
ER  - 
%0 Journal Article
%A A. G. Chentsov
%T On the game problem of convergence at a given moment of time
%J Izvestiya. Mathematics
%D 1978
%P 426-437
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a12/
%G en
%F IM2_1978_12_2_a12

Voir la notice de l'article provenant de la source Math-Net.Ru

The conflictive control system \begin {equation} \frac{dx}{dt}=f(t,x,u,v),\qquad u\in P,\quad v\in Q, \end{equation} is considered, where $P$ and $Q$ are compact. The positional game problem of attaining a guaranteed result by means of the trajectories of (1) is studied for the functional $\inf_t\psi(t,x(t))$ with values in a linearly ordered set $X$. An iterative method, based on an auxiliary programmed construction using generalized programmed control measures, is proposed. Bibliography: 10 titles.