Literature cited
L. S. Pontryagin, “Linear differential pursuit games,” Mat. Sb.,112 (154), No. 3 (7), 307–330 (1980).
V. I. Blagodatskikh, Linear Theory of Optimal Control [in Russian], Moscow State Univ. (1978).
B. N. Pshenichnyi and M. I. Sagaidak, “On differential games with fixed time,” Kibernetika, No. 2, 54–63 (1970).
P. B. Gusyatnikov, “On the question of the information available to players in differential games,” Prikl. Mat. Mekh.,36, No. 5, 917–924 (1972).
A. F. Filippov, “On certain questions of optimal control theory,” Vestn. Mosk. Univ., Ser. Mat. Mekh. Astron. Fiz., Khim., No. 2, 25–32 (1959).
D. B. Silin, “On the complete variation of the optimal control in linear systems,” Mat. Zametki,31, No. 5, 761–772 (1982).
A. I. Subbotin and A. G. Chentsov, Guaranteed Optimization in Controlled Systems [in Russian], Nauka, Moscow (1981).
M. S. Nikol'skii, “The construction of piecewise-constant controls in direct Pontryagin methods,” Zh. Vychisl. Mat. Mat. Fiz.,22, No. 4, 840–849 (1982).
B. N. Pshenichnyi (B. N. Pchentchny), “ɛ-Strategies in differential games,” in: Topics in Differential Games, North-Holland, Amsterdam (1973), pp. 45–99.
N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).
V. D. Batukhtin and A. I. Subbotin, “On conditions for terminating a pursuit game,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 1, 3–8 (1972).
N. Yu. Satimov, “On the problem of pursuit according to position in differential games,” Dokl. Akad. Nauk SSSR,229, No. 4, 808–811 (1976).
A. Azamov, “On the second Pontryagin method in linear differential pursuit games,” Mat. Sb.,118 (160), No. 3, 422–430 (1982).
L. S. Pontryagin, “On the theory of differential games,” Usp. Mat. Nauk,21, No. 4, 219–274 (1966).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 41, No. 5, pp. 718–723, May, 1987.
Rights and permissions
About this article
Cite this article
Azamov, A. Existence of a strategy with piecewise-constant realizations. Mathematical Notes of the Academy of Sciences of the USSR 41, 404–407 (1987). https://doi.org/10.1007/BF01159866
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01159866