@article{ZVMMF_1997_37_1_a4,
author = {M. I. Sumin},
title = {Suboptimal control of distributed-parameter systems: {Minimizing} sequences and the value function},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {23--41},
year = {1997},
volume = {37},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a4/}
}
TY - JOUR AU - M. I. Sumin TI - Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1997 SP - 23 EP - 41 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a4/ LA - ru ID - ZVMMF_1997_37_1_a4 ER -
%0 Journal Article %A M. I. Sumin %T Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1997 %P 23-41 %V 37 %N 1 %U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a4/ %G ru %F ZVMMF_1997_37_1_a4
M. I. Sumin. Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 23-41. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a4/
[1] Yang L., Lektsii po variatsionnomu ischisleniyu i optimalnomu upravleniyu, Mir, M., 1974
[2] Filippov A. F., “O nekotorykh voprosakh teorii optimalnogo regulirovaniya”, Vestn. MGU. Ser. matem., mekhan., astron., fiz., khim., 1959, no. 2, 25–32 | Zbl
[3] Varga Dzh., Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977 | MR
[4] Fattorini H. O., “Relaxed controls in semilinear infinite dimensional systems”, Int. Ser. Numer. Math., 100 (1991), 115–128 | MR | Zbl
[5] Plotnikov B. I., Sumin M. I., “O postroenii minimiziruyuschikh posledovatelnostei v zadachakh upravleniya sistemami s raspredelennymi parametrami”, Zh. vychisl. matem. i matem. fiz., 22:1 (1982), 49–56 | MR | Zbl
[6] Sumin M. I., Zadachi optimalnogo upravleniya sosredotochennymi i raspredelennymi sistemami s differentsiruemymi i nedifferentsiruemymi funktsionalami i funktsiyami, zadayuschimi sistemy, Dis. ... kand. fiz.-matem. nauk, GGU, Gorkii, 1983
[7] Plotnikov B. I., Sumin M. I., “Ob usloviyakh na elementy minimiziruyuschikh posledovatelnostei zadach optimalnogo upravleniya”, Dokl. AN SSSR, 280:2 (1985), 292–296 | MR | Zbl
[8] Sumin M. I., “O dostatochnykh usloviyakh na elementy minimiziruyuschikh posledovatelnostei v zadachakh optimalnogo upravleniya”, Zh. vychisl. matem. i matem. fiz., 25:1 (1985), 23–31 | MR | Zbl
[9] Sumin M. I., “O minimiziruyuschikh posledovatelnostyakh v zadachakh optimalnogo upravleniya pri ogranichennykh fazovykh koordinatakh”, Differents. ur-niya, 22:10 (1986), 1719–1731 | MR
[10] Sumin M. I., “Optimalnoe upravlenie sistemami s priblizhenno izvestnymi iskhodnymi dannymi”, Zh. vychisl. matem. i matem. fiz., 27:2 (1987), 163–177 | MR | Zbl
[11] Sumin M. I., “O funktsionale nevyazki printsipa maksimuma v teorii optimalnogo upravleniya”, Zh. vychisl. matem. i matem. fiz., 30:8 (1990), 1133–1149 | MR
[12] Ekeland I., “On the variational principle”, J. Math. Analys. and Appl., 47:2 (1974), 324–353 | DOI | MR | Zbl
[13] Klark F., Optimizatsiya i negladkii analiz, Nauka, M., 1988 | MR | Zbl
[14] Mordukhovich B. Sh., Metody approksimatsii v zadachakh optimizatsii i upravleniya, Nauka, M., 1988 | MR | Zbl
[15] Fattorini H. O., “Convergence of suboptimal controls: the point target case”, SIAM J. Control and Optimizat., 28:2 (1990), 320–341 | DOI | MR | Zbl
[16] Fattorini H. O., Frankowska H., “Explicit convergence estimates for suboptimal controls. I; II”, Probl. Control and Inform. Theory, 19:1 (1990), 3–29 ; 2, 69–93 | MR | Zbl | MR | Zbl
[17] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1973
[18] Novozhenov M. M., Sumin V. I., Sumin M. I., Metody optimalnogo upravleniya sistemami matematicheskoi fiziki, Izd-vo GGU, Gorkii, 1986
[19] Sumin M. I., “Optimalnoe upravlenie ob'ektami, opisyvaemymi kvazilineinymi ellipticheskimi uravneniyami”, Differents. ur-niya, 25:8 (1989), 1406–1416 | MR
[20] Rockafellar R. T., “Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming”, Math. Program. Study, 17 (1982), 28–66 | MR | Zbl
[21] Clarke F. H., Loewen P. D., “The value function in optimal control: sensitivity, controllability and time-optimality”, SIAM J. Control and Optimizat., 24:2 (1986), 243–263 | DOI | MR | Zbl