@article{ZVMMF_2004_44_2_a9,
author = {M. B. Mamedov},
title = {Investigation of unimprovable equilibrium situations in nonlinear conflict-controlled dynamical systems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {308--317},
year = {2004},
volume = {44},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a9/}
}
TY - JOUR AU - M. B. Mamedov TI - Investigation of unimprovable equilibrium situations in nonlinear conflict-controlled dynamical systems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2004 SP - 308 EP - 317 VL - 44 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a9/ LA - ru ID - ZVMMF_2004_44_2_a9 ER -
%0 Journal Article %A M. B. Mamedov %T Investigation of unimprovable equilibrium situations in nonlinear conflict-controlled dynamical systems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2004 %P 308-317 %V 44 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a9/ %G ru %F ZVMMF_2004_44_2_a9
M. B. Mamedov. Investigation of unimprovable equilibrium situations in nonlinear conflict-controlled dynamical systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 2, pp. 308-317. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a9/
[1] Kononenko A. F., “O ravnovesnykh pozitsionnykh strategiyakh v neantagonisticheskikh differentsialnykh igrakh”, Dokl. AN SSSR, 231:2 (1976), 285–288 | MR | Zbl
[2] Kononenko A. F., “Struktura optimalnoi strategii v dinamicheskikh upravlyaemykh sistemakh”, Zh. vychisl. matem. i matem. fiz., 20:5 (1980), 1106–1116 | MR
[3] Starr A. I., Ho Y. C., “Further properties of nonzero sum differential games”, J. Optimizat. Theory and Applic., 3:4 (1969) | MR
[4] Case J. H., “Toward a theory of many-player differential games”, SIAM J. Control, 7:2 (1960), 179–197 | DOI | MR
[5] Mamedov M. B., “O ravnovesnosti po Neshu situatsii optimalnoi po Pareto v differentsialnykh igrakh dvukh lits”, Izv. AN AzerbSSR. Fiz.-tekhn. i matem. nauki, 1983, no. 2, 111–117 | MR | Zbl
[6] Kleimenov A. F., “Resheniya Nesha, Pareto i Shtakkelberga v neantagonisticheskikh differentsialnykh igrakh”, Zh. prikl. matem. i mekhan., 51:2 (1987), 209–215 | MR
[7] Tynyanskii N. T., Zhukovskii V. I., “Differentsialnye igry s nenulevoi summoi (nekooperativnaya teoriya)”, Itogi nauki i tekhn. Matem. analiz, 15, VINITI, M., 1977, 199–266
[8] Tynyanskii N. T., Zhukovskii V. I., “Differentsialnye igry s nenulevoi summoi (kooperativnaya teoriya)”, Itogi nauki i tekhn. Matem. analiz, 17, VINITI, M., 1979, 3–35 | MR
[9] Konurbaev E. M., “Metody poiska effektivnykh ravnovesnykh situatsii v differentsialnykh igrakh mnogikh lits”, Zh. vychisl. matem. i matem. fiz., 25:8 (1985), 1260–1262 | MR
[10] Prokopev V. A., “O suschestvovanii ustoichivykh reshenii v odnom klasse kooperativnykh differentsialnykh igr”, Neantagonistich. differents. igry i ikh prilozh., Vses. zaochnyi mashinostroit. in-t, M., 1986, 98–101
[11] Rekasius Z., Schmitendorf W. E., “On the noninferity of Nash equilibrium situation”, IEEE Trans. Automate Control, 6:2 (1971), 170–171 | DOI | MR
[12] Mamedov M. B., Vychislenie tseny nekotorykh pozitsionnykh differentsialnykh igr i o suschestvovanii Pareto-optimalnoi situatsii ravnovesiya, Dep. v VINITI, No 4011-V88
[13] Mamedov M. B., “O Pareto-optimalnosti situatsii ravnovesiya po Neshu v konfliktno-upravlyaemykh dinamicheskikh sistemakh”, Zh. vychisl. matem. i matem. fiz., 30:7 (1990), 984–996 | MR
[14] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1984 | MR
[15] Krasovskii N. N., Upravlenie dinamicheskoi sistemoi, Nauka, M., 1985 | MR
[16] Subbotin A. I., Chentsov A. G., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981 | MR
[17] Blagodatskikh V. I., Filippov A. F., “Differentsialnoe vklyuchenie i optimalnoe upravlenie”, Topologiya, obyknovennye differents. ur-niya, dinamich. sistemy, Nauka, M., 1985
[18] Borisovich Yu. G., Gelman B. D. i dr., Vvedenie v teoriyu mnogoznachnykh otobrazhenii, Izd-vo VGU, Voronezh, 1986 | Zbl
[19] Li E. B., Markus L., Osnovy teorii optimalnogo upravleniya, Nauka, M., 1972 | MR
[20] Podinovskii V. V., Nogin V. D., Pareto-optimalnye resheniya mnogokriterialnykh zadach, Nauka, M., 1982 | MR
[21] Subbotin A. I., “Vychislenie tseny differentsialnoi igry sblizheniya prostykh dvizhenii na ogranichennom promezhutke vremeni”, Upravlenie s garantirovannym rezultatom, UNTs AN SSSR, Sverdlovsk, 1987, 71–76