Geodesic
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. 
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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/

[1] Krasovskii N. N., “Differentsialnaya igra sblizheniya-ukloneniya”, Izv. AN SSSR, Tekhnicheskaya kibernetika, 1973, no. 2, 3, 3–18, 22–42 | MR | Zbl

[2] Batukhtin V. D., Krasovskii N. N., “Zadacha programmnogo upravleniya na maksimin”, Izv. AN SSSR, Tekhnicheskaya kibernetika, 1972, no. 6, 35–44 | MR | Zbl

[3] Chentsov A. G., “Ob igrovoi zadache programmnogo upravleniya”, Dokl. AN SSSR, 213:2 (1973), 289–292 | Zbl

[4] Chentsov A. G., “Ob igrovykh zadachakh sblizheniya-ukloneniya”, PMM, 38:2 (1974), 201 | Zbl

[5] Krasovskii N. N., Subbotin A. I., “Alternativa dlya igrovoi zadachi sblizheniya”, PMM, 34:6 (1970), 1005–1022 | MR | Zbl

[6] Danford V., Shvarts Dzh. T., Lineinye operatory, I, ILL, M., 1962

[7] Krasovskii N. N., Igrovye zadachi o vstreche dvizhenii, Nauka, M., 1970 | MR

[8] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., Matematicheskaya teoriya optimalnykh protsessov, Fizmatgiz, M., 1961

[9] Demyanov V. F., Malozemov V. N., Vvedenie v minimaks, Nauka, M., 1972 | MR