@article{ZVMMF_1999_39_4_a5,
author = {O. I. Kostyukova},
title = {An algorithm for solving optimal control problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {573--587},
year = {1999},
volume = {39},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a5/}
}
O. I. Kostyukova. An algorithm for solving optimal control problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 4, pp. 573-587. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a5/
[1] Malanowski K., Maurer H., “Sensitivity analysis for parametric control problems with control-state constraints”, Comput. Optimizat. Applic., 5 (1996), 253–283 | MR | Zbl
[2] Mayne D., Michalska H., “Receding horizon control of nonlinear systems”, IEEE Trans. Automat. Control, 35:4 (1990), 814–824 | DOI | MR | Zbl
[3] Balashevich H. B., Gabasov P., Kirillova F. M., “Regulyator dlya skolzyaschei optimizatsii dinamicheskikh sistem upravleniya”, Zh. vychisl. matem. i matem. fiz., 34:4 (1994), 612–622 | MR
[4] Dubovitskii A. Ya., Dubovitskii V. A., “Kriterii suschestvovaniya soderzhatelnogo printsipa maksimuma v zadachakh s fazovymi ogranicheniyami”, Differents. ur-niya, 31:10 (1995), 1634–1640 | MR
[5] Dikusar V. V., Milyutin A. A., Kachestvennye i chislennye metody v printsipe maksimuma, Nauka, M., 1989 | MR | Zbl
[6] Gornov A. Yu., Zholudev A. I., Tyatyushkin A. I., Erinchek N. M., “Chislennye metody optimizatsii upravleniya sistem s fazovymi ogranicheniyami”, Upravlenie i optimizatsiya, In-t prikl. matem. RAN DVO, Vladivostok, 1991, 58–79
[7] Harti R. F., Surech S. P., “A survey of the maximum principles for optimal control problems with state constraints”, SIAM Rev., 37:2 (1995), 181–218 | DOI | MR
[8] Gabasov P., Kirillova F. M., Konstruktivnye metody optimizatsii, Universitetskoe, Minsk, 1984
[9] Arutynov A., Aseev S., “Investigation of the degeneracy phenomenon of the maximum principle for optimal control ploblems with state constraints”, SIAM J. Control Optimizat., 35:1 (1996), 930–952 | MR
[10] Kurzhanskii A. B., Osipov Yu. S., “K zadache ob upravlenii s ogranichennymi fazovymi koordinatami”, Prikl. matem. i mekhan., 32 (1968), 194–202 | MR | Zbl
[11] Kostyukova O. I., Prischepova S. V., “Konechnyi algoritm resheniya zadachi optimalnogo upravleniya s fazovymi ogranicheniyami v diskretnye momenty vremeni”, Zh. vychisl. matem. i matem. fiz., 38:2 (1998), 189–206 | MR | Zbl
[12] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR
[13] Kostyukova O. I., “Issledovanie reshenii semeistva lineinykh zadach optimalnogo upravleniya, zavisyaschikh ot parametra”, Differents. ur-niya, 34:2 (1998), 194–203 | MR
[14] Gabasov R., Kirillova F. M., Kostyukova O. I., “Sintez optimalnykh upravlenii tipa obratnoi svyazi po sostoyaniyu v lineinoi zadache navedeniya”, Differents. ur-niya, 34:1 (1998), 7–17 | MR | Zbl