Voir la notice du chapitre de livre
@article{TIMM_2009_15_3_a15,
author = {V. N. Ushakov and Kh. G. Guseinov and Ya. A. Latushkin and P. D. Lebedev},
title = {On the coincidence of maximal stable bridges in two approach game problems for stationary control systems},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {219--240},
year = {2009},
volume = {15},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a15/}
}
TY - JOUR AU - V. N. Ushakov AU - Kh. G. Guseinov AU - Ya. A. Latushkin AU - P. D. Lebedev TI - On the coincidence of maximal stable bridges in two approach game problems for stationary control systems JO - Trudy Instituta matematiki i mehaniki PY - 2009 SP - 219 EP - 240 VL - 15 IS - 3 UR - http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a15/ LA - ru ID - TIMM_2009_15_3_a15 ER -
%0 Journal Article %A V. N. Ushakov %A Kh. G. Guseinov %A Ya. A. Latushkin %A P. D. Lebedev %T On the coincidence of maximal stable bridges in two approach game problems for stationary control systems %J Trudy Instituta matematiki i mehaniki %D 2009 %P 219-240 %V 15 %N 3 %U http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a15/ %G ru %F TIMM_2009_15_3_a15
V. N. Ushakov; Kh. G. Guseinov; Ya. A. Latushkin; P. D. Lebedev. On the coincidence of maximal stable bridges in two approach game problems for stationary control systems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 219-240. http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a15/
[1] Krasovskii N. N., Igrovye zadachi o vstreche dvizhenii, Nauka, M., 1970, 420 pp. | MR
[2] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974, 456 pp. | MR | Zbl
[3] Krasovskii N. N., “K zadache unifikatsii differentsialnykh igr”, Dokl. AN SSSR, 226:6 (1976), 1260–1263 | MR
[4] Krasovskii N. N., “Unifikatsiya differentsialnykh igr”, Igrovye zadachi upravleniya, Vyp. 24, Tr. In-ta matematiki i mekhaniki UNTs AN SSSR, Sverdlovsk, 1977, 32–45 | MR
[5] Aizeks R., Differentsialnye igry, Mir, M., 1967, 479 pp. | MR
[6] Pontryagin L. S., “O lineinykh differentsialnykh igrakh. I”, Dokl. AN SSSR, 174:6 (1967), 1278–1281
[7] Pontryagin L. S., “O lineinykh differentsialnykh igrakh. II”, Dokl. AN SSSR, 175:4 (1967), 764–766 | Zbl
[8] Kurzhanskii A. B., “Alternirovannyi integral Pontryagina v teorii sinteza upravlenii”, Tr. Matematicheskogo in-ta im. V. A. Steklova, 224, 1999, 234–248 | MR | Zbl
[9] Kurzhanskii A. B., “O sinteze upravlenii po rezultatam izmerenii”, Prikl. matematika i mekhanika, 68:4 (2004), 547–563 | MR
[10] Kryazhimskii A. V., Osipov Yu. S., “Differentsialno-raznostnaya igra sblizheniya s funktsionalnym tselevym mnozhestvom”, Prikl. matematika i mekhanika, 37:1 (1973), 3–13 | MR | Zbl
[11] Subbotin A. I., Chentsov A. G., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981, 288 pp. | MR | Zbl
[12] Subbotin A. I., Generalized solutions of first-order PDEs. The dynamical optimization perspective, System Control: Foundation Appl., Birkhäuser, Boston, 1995, 312 pp. | MR
[13] Chentsov A. G., “Ob igrovoi zadache sblizheniya v zadannyi moment vremeni”, Mat. sb., 99(141):3 (1976), 394–420 | MR | Zbl
[14] Pshenichnyi B. N., “Struktura differentsialnykh igr”, Dokl. AN SSSR, 84:2 (1969), 285–287
[15] Blagodatskikh V. I., Filippov A. F., “Differentsialnye vklyucheniya i optimalnoe upravlenie”, Tr. Matematicheskogo in-ta im. V. A. Steklova, 169, 1985, 194–252 | MR | Zbl
[16] Nikolskii M. S., “Ob alternirovannom integrale L. S. Pontryagina”, Mat. sb., 116(158):1 (1981), 136–144 | MR | Zbl
[17] Isakova E. A., Logunova G. V., Patsko V. S., “Postroenie stabilnykh mostov v lineinoi differentsialnoi igre s fiksirovannym momentom okonchaniya”, Algoritmy i programmy resheniya lineinykh differents. igr, Sb. st., IMM UNTs AN SSSR, Sverdlovsk, 1984, 127–158
[18] Ushakov V. N., “K voprosu stabilnosti v differentsialnykh igrakh”, Pozitsionnoe upravlenie s garantirovannym rezultatom, Sb. nauch. tr., UrO AN SSSR, Sverdlovsk, 1988, 101–109 | MR
[19] Ushakov V. N., Protsedury postroeniya stabilnykh mostov v differentsialnykh igrakh, Dis. $\dots$ d-ra fiz.-mat. nauk, In-t matematiki i mekhaniki UrO AN SSSR, Sverdlovsk, 1991, 308 pp.
[20] Guseinov H. G., Subbotin A. I., Ushakov V. N., “Derivatives for multivalued mappings with applications to game-theoretical problems of control”, Problems Control Inform. Theory, 14:6 (1985), 405–419 | MR
[21] Tarasev A. M., Ushakov V. N., Khripunov A. P., “Ob odnom vychislitelnom algoritme resheniya igrovykh zadach upravleniya”, Prikl. matematika i mekhanika, 51:2 (1987), 216–222 | MR
[22] Tarasev A. M., Ushakov V. N., O postroenii stabilnykh mostov v minimaksnoi igre sblizheniya-ukloneniya, Dep. v VINITI, No 2454–83, Sverdlovsk, 1983, 61 pp.
[23] Ushakov V. N., Khripunov A. P., “O priblizhennom postroenii reshenii v igrovykh zadachakh upravleniya”, Prikl. matematika i mekhanika, 61:3 (1997), 413–421 | MR | Zbl
[24] Panasyuk A. P., “Uravneniya dinamiki mnozhestv dostizhimosti v zadachakh optimizatsii i upravleniya v usloviyakh neopredelennosti”, Prikl. matematika i mekhanika, 50:4 (1986), 596–604 | MR
[25] Oben Zh.-P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988, 512 pp. | MR
[26] Demyanov V. F., Rubinov A. M., Osnovy negladkogo analiza i kvazidifferentsialnoe ischislenie, Nauka, M., 1990, 432 pp. | MR