Voir la notice de l'article provenant de la source Math-Net.Ru
@article{DVMG_2021_21_1_a7, author = {R. O. Mastaliev}, title = {First order necessary optimal conditions in {Gursat-Darboux} stochastic systems}, journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal}, pages = {89--104}, publisher = {mathdoc}, volume = {21}, number = {1}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DVMG_2021_21_1_a7/} }
TY - JOUR AU - R. O. Mastaliev TI - First order necessary optimal conditions in Gursat-Darboux stochastic systems JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2021 SP - 89 EP - 104 VL - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2021_21_1_a7/ LA - ru ID - DVMG_2021_21_1_a7 ER -
R. O. Mastaliev. First order necessary optimal conditions in Gursat-Darboux stochastic systems. Dalʹnevostočnyj matematičeskij žurnal, Tome 21 (2021) no. 1, pp. 89-104. http://geodesic.mathdoc.fr/item/DVMG_2021_21_1_a7/
[1] A. I. Egorov, “Ob optimalnom upravlenii protsessami v nekotorykh sistemakh raspredelennymi parametrami”, Avtomatika i telemekhanika, 25:5 (1964), 613–623 | Zbl
[2] A. I. Egorov, “Optimalnye protsessy v sistemakh s raspredelennymi parametrami i nekotorye zadachi teorii invariantnosti”, Izv. AN SSSR, Ser. matem., 29:6 (1965), 1205–1260 | Zbl
[3] V. I. Plotnikov, V. I. Sumin, “Optimizatsiya ob'ektov s raspredelennymi parametrami, opisyvaemykh sistemami Gursa – Darbu”, Zh. vychisl. matem. i matem. fiz., 12:1 (1972), 61–77
[4] S. S. Akhiev, K. T. Akhmedov, “Neobkhodimye usloviya optimalnosti dlya nekotorykh zadach teorii optimalnogo upravleniya”, Dokl. AN Azerb. SSR, 28:5 (1972), 12–16 | MR | Zbl
[5] L. T. Aschepkov, O. V. Vasilev, “Ob optimalnosti osobykh upravlenii v sistemakh Gursa – Darbu”, Zhurn. vychisl. mat. i mat. fiziki, 15:5 (1975), 1157–1167 | MR
[6] L. T. Aschepkov, O. V. Vasilev, I. L. Kovalenok, “Usilennoe uslovie optimalnosti osobykh upravlenii v sisteme Gursa – Darbu”, Differents. uravneniya, 6 (1980), 1054–1059 | MR
[7] V. A. Srochko, “Usloviya optimalnosti dlya odnogo klassa sistem s raspredelennymi parametrami”, Sib. mat. zhurnal, 2 (1984), 56–65
[8] T. K. Melikov, Issledovanie osobykh protsessov v nekotorykh optimalnykh sistemakh, Avtoref. dis. kand. fiz.-mat. nauk, Baku, 1976, 17 pp.
[9] T. K. Melikov, Osobye v klassicheskom smysle upravleniya v sistemakh Gursa – Darbu, Elm, Baku, 2003, 96 pp.
[10] K. B. Mansimov, Neobkhodimye usloviya optimalnosti osobykh protsessov v zadachakh optimalnogo upravleniya, Avtoref. diss. d-ra fiz.-mat. nauk, Baku, 1994, 43 pp.
[11] K. B. Mansimov, Kachestvennaya teoriya optimalnogo upravleniya sistemami Gursa-Darbu, Elm, Baku, 2010, 360 pp.
[12] Yu. M. Ermolev, V. P. Gulenko, T. I. Tsarenko, Konechno-raznostnyi metod v zadachakh optimalnogo upravleniya, Naukova Dumka, Kiev, 1978, 164 pp. | MR
[13] A. N. Tikhonov, A. A. Samarskii, Uravneniya matematicheskoi fiziki, Nauka, M., 1977, 736 pp. | MR
[14] V. V. Rachinskii, Vvedenie v obschuyu teoriyu dinamiki sorbtsii i khromatografii, Nauka, M., 1964, 136 pp.
[15] M. Kh. Bikchentaev, “K optimalnomu upravleniyu sistemami s raspredelennymi parametrami pri sluchainykh vozdeistviyakh”, Izv.AN SSSR. Tekhn. kibernetika, 3 (1969), 158–167
[16] L. E. Shaikhet, “Ob optimalnom upravlenii odnim klassom stokhasticheskikh differentsialnykh uravnenii v chastnykh proizvodnykh”, Matem. zametki, 31:6 (1982), 933–936 | MR
[17] L. E. Shaikhet, “O neobkhodimom uslovii optimalnosti upravleniya stokhasticheskimi differentsialnymi uravneniyami giperbolicheskogo tipa”, Teoriya sluchainykh protsessov, v. 12, Kiev, 1984, 96–101
[18] L. E. Shaikhet, “Optimalnoe upravlenie nekotorymi giperbolicheskimi i integralnymi uravneniyami”, Teoriya sluchainykh protsessov, v. 15, Kiev, 1987, 110–116 | Zbl
[19] L. E. Shaikhet, “About an unsolved optimal control problem for stochastic partial differential equation”, XVI International Confrence: Dynamical systems modeliling and stability investigation (Kiev, Ukraine, 29-31 May, 2013), 2013, 332–334 | MR
[20] J. Yeh, “Wiener measure in a space of functions of two variables”, Trans. Amer. Math. Soc., 95 (1960), 433–450 | DOI | MR | Zbl
[21] V. I. Plotnikov, V. I. Sumin, “Problema ustoichivosti nelineinykh sistem Gursa – Darbu”, Differents. uravneniya, 8:5 (1972), 845–-856 | MR | Zbl
[22] L. L. Ponomarenko, “Stokhasticheskaya beskonechnomernaya zadacha Gursa”, Matematicheskii analiz i teoriya veroyatnostei, Kiev, 1978, 140-143 | Zbl
[23] V. M. Alekseev, V. M. Tikhomirov, S. V. Fomin, Optimalnoe upravlenie, Nauka, M., 1979, 429 pp. | MR
[24] R. Gabasov, F. M. Kirillova, Printsip maksimuma v teorii optimalnogo upravleniya, URSS, M., 2011, 272 pp.
[25] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mischenko, Matematicheskaya teoriya optimalnykh protsessov, Nauka, M., 1983, 392 pp. | MR
[26] V. A. Srochko, Vychislitelnye metody optimalnogo upravleniya, Izd-vo IGU, Irkutsk, 1982, 110 pp.
[27] R. Gabasov, F. M. Kirillova, Osobye optimalnye upravleniya, Knizhnyi dom “Librokom”, M., 2013, 256 pp.