@article{ZVMMF_1998_38_6_a3,
author = {V. M. Aleksandrov},
title = {A numerical method for solving a linear time-optimal control problem},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {918--931},
year = {1998},
volume = {38},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a3/}
}
TY - JOUR AU - V. M. Aleksandrov TI - A numerical method for solving a linear time-optimal control problem JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1998 SP - 918 EP - 931 VL - 38 IS - 6 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a3/ LA - ru ID - ZVMMF_1998_38_6_a3 ER -
V. M. Aleksandrov. A numerical method for solving a linear time-optimal control problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 6, pp. 918-931. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a3/
[1] Neustadt L. W., “Synthesing time optimal control systems”, J. Math. Analys. and Appl., 1:3–4 (1960), 484–493 | DOI | MR | Zbl
[2] Krylov I. A., Chernousko F. L., “O metode posledovatelnykh priblizhenii dlya resheniya zadach optimalnogo upravleniya”, Zh. vychisl. matem. i matem. fiz., 2:6 (1962), 1132–1139 | Zbl
[3] Eaton J. H., “An iterative solution to time optimal control”, J. Math. Analys. and Appl., 5:2 (1962), 329–344 | DOI | MR | Zbl
[4] Demyanov V. F., “K postroeniyu optimalnoi programmy v lineinoi sisteme”, Avtomatika i telemekhan., 25:1 (1964), 3–11 | MR
[5] Kirin N. E., “K resheniyu obschei zadachi lineinogo bystrodeistviya”, Avtomatika i telemekhan., 25:1 (1964), 16–22 | MR
[6] Pshenichnyi B. N., “Chislennyi metod rascheta optimalnogo po bystrodeistviyu upravleniya dlya lineinykh sistem”, Zh. vychisl. matem. i matem. fiz., 4:1 (1964), 52–60
[7] Knudsen H. K., “An iterative procedure for computing time optimal control”, IEEE Trans. Automat. Control, 9:1 (1964), 23–30 | DOI | MR
[8] Gabasov P., Kirillova F. M., “Postroenie posledovatelnykh priblizhenii dlya nekotorykh zadach optimalnogo upravleniya”, Avtomatika i telemekhan., 27:2 (1966), 5–17 | MR
[9] Dubovitskii A. Ya., Rubtsov V. A., “Lineinye bystrodeistviya”, Zh. vychisl. matem. i matem. fiz., 8:5 (1968), 937–949 | Zbl
[10] Gindes V. B., “Odin metod posledovatelnykh priblizhenii dlya resheniya lineinykh zadach optimalnogo upravleniya”, Zh. vychisl. matem. i matem. fiz., 10:1 (1970), 216–223 | MR | Zbl
[11] Moiseev N. N., Chislennye metody v teorii optimalnykh sistem, Nauka, M., 1971
[12] Vasilev O. V., Tyatyushkin A. I., “K chislennomu resheniyu zadach lineinogo bystrodeistviya”, Differents. i integr. ur-niya, 2, Izd-vo Irkutskogo un-ta, Irkutsk, 1973, 57–69
[13] Miele A., “Recent advances in gradient algorithms for optimal control problems”, J. Optimizat. Theory and Appl., 17:5–6 (1975), 361–430 | DOI | MR | Zbl
[14] Chernousko F. L., Kolmanovskii V. B., “Vychislitelnye i priblizhennye metody optimalnogo upravleniya”, Matem. analiz., 14 (1977), 101–166
[15] Fedorenko R. P., Priblizhennoe reshenie zadach optimalnogo upravleniya, Nauka, M., 1978 | Zbl
[16] Grachev N. I., Evtushenko Yu. G., Paket programm dlya resheniya zadach optimalnogo upravleniya, VTs AN SSSR, M., 1978
[17] Lyubushin A. A., “O primenenii modifikatsii metoda posledovatelnykh priblizhenii dlya resheniya zadach optimalnogo upravleniya”, Zh. vychisl. matem. i matem. fiz., 22:1 (1982), 30–35 | MR | Zbl
[18] Dyurkovich E., “Chislennyi metod resheniya lineinykh zadach bystrodeistviya s otsenkoi tochnosti”, Dokl. AN SSSR, 265:4 (1982), 793–797 | MR | Zbl
[19] Aleksandrov V. M., “Priblizhennoe reshenie zadach optimalnogo upravleniya”, Probl. kibernetiki, 41, 1984, 143–206 | Zbl
[20] Aleksandrov V. M., “Reshenie zadach optimalnogo upravleniya na osnove metoda kvazioptimalnogo upravleniya”, Modeli i metody optimizatsii, 10, Nauka, Novosibirsk, 1988, 18–54