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Krasovskij, N. N.; Subbotin, A. I.

An alternative for the game problem of convergence. (English. Russian original) Zbl 0241.90071

J. Appl. Math. Mech. 34, 948-965 (1970); translation from Prikl. Mat. Mekh. 34, 1005-1022 (1970).
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Cited in 35 Documents

MSC:

91A23 Differential games (aspects of game theory)
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\textit{N. N. Krasovskij} and \textit{A. I. Subbotin}, J. Appl. Math. Mech. 34, 948--965 (1970; Zbl 0241.90071); translation from Prikl. Mat. Mekh. 34, 1005--1022 (1970)
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References:

[1] Fleming, W. H., The convergence problem for differential games, J. Math. Anal. and Appl., Vol. 3 (1961) · Zbl 0137.14204
[2] Pontriagin, L. S., On linear differential games. 2, Dokl. Akad. Nauk SSSR, Vol. 175, N≗4 (1967)
[3] Smol’iakov, E. R., Differential games in mixed strategies, Dokl. Akad. Nauk SSSR, Vol. 191, N≗1 (1970)
[4] Varaiya, P.; Lin, J., Existence of saddle points in differential games, SIAM J. Control, Vol. 7, N≗1 (1969) · Zbl 0192.52402
[5] Krasovskii, N. N., On a problem of tracking, PMM, Vol. 27, N≗2 (1963) · Zbl 0109.06001
[6] Krasovskii, N. N.; Subbotin, A. I., On the structure of differential games, Dokl. Akad. Nauk SSSR, Vol. 190, N≗3 (1970) · Zbl 0213.15901
[7] Krasovskii, N. N., On a differential convergence game, Dokl. Akad. Nauk SSSR, Vol. 193, N≗2 (1970) · Zbl 0246.90060
[8] Halmos, P. R., Measure Theory (1950), Van Nostrand · Zbl 0073.09302
[9] Liusternik, L. A.; Sobolev, V. N., Elements of Functional Analysis (1965), Nauka: Nauka M.
[10] Filippov, A. F., Differential equations with a discontinuous right-hand side, Matem. sb., Vol. 51, 93 (1960) · Zbl 0138.32204
[11] Pshenichnyi, B. N., The Necessary Conditions of Extremum (1969), Nauka: Nauka M. · Zbl 0764.90079
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