Geodesic
Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 1, pp. 54-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. I. Kalinin. Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 1, pp. 54-64. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_1_a6/

[1] Vasileva A. B., Dmitriev M. G., “Singulyarnye vozmuscheniya v zadachakh optimalnogo upravleniya”, Matem. analiz, Itogi nauki i tekhn., 20, VINITI, M., 1982, 3–77 | MR

[2] Kokotovic P. V., Khalil H. K., Singular perturbations in systems and control, New York, 1986 | MR

[3] Kalinin A. I., “Asimptotika reshenii vozmuschennykh zadach optimalnogo upravleniya”, Izv. RAN. Tekhn. kibernetika, 1994, no. 3, 104–114 | MR | Zbl

[4] Rakitskii Yu. V., Ustinov S. M., Chernorutskii I. G., Chislennye metody resheniya zhestkikh sistem, Nauka, M., 1979 | MR

[5] Gabasov R., Kalinin A. I., Kirillova F. M., “Algoritm optimizatsii kvazilineinoi sistemy upravleniya”, Dokl. AN SSSR, 293:1 (1987), 22–26 | MR | Zbl

[6] Kalinin A. I., “Metod asimptoticheskogo resheniya singulyarno vozmuschennoi lineinoi zadachi terminalnogo upravleniya”, Zh. vychisl. matem. i matem. fiz., 30:3 (1990), 366–378 | MR

[7] Blis G. A., Lektsii po variatsionnomu ischisleniyu, Izd-vo inostr. lit., M., 1950

[8] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., Matematicheskaya teoriya optimalnykh protsessov, Nauka, M., 1983 | MR | Zbl

[9] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR

[10] Kostyukova O. M., Optimizatsiya lineinykh dinamicheskikh sistem s fazovymi ogranicheniyami, Preprint No 29(379), In-t matem. AN BSSR, Minsk, 1989 | MR

[11] Gabasov R., Kirillova F. M., Konstruktivnye metody optimizatsii. Ch. 2. Zadachi upravleniya, Universitetskoe, Minsk, 1984 | MR