Geodesic
On the game problem of convergence at a~given moment of time
Izvestiya. Mathematics , Tome 12 (1978) no. 2, pp. 426-437

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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. 
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     author = {A. G. Chentsov},
     title = {On the game problem of convergence at a~given moment of time},
     journal = {Izvestiya. Mathematics },
     pages = {426--437},
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     volume = {12},
     number = {2},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a12/}
}
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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/