Geodesic
An asymptotic method for a singularly perturbed linear-quadratic optimal control problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 9, pp. 1473-1483 
A. I. Kalinin. An asymptotic method for a singularly perturbed linear-quadratic optimal control problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 9, pp. 1473-1483. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a4/
@article{ZVMMF_1998_38_9_a4,
     author = {A. I. Kalinin},
     title = {An asymptotic method for a singularly perturbed linear-quadratic optimal control problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1473--1483},
     year = {1998},
     volume = {38},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a4/}
}
TY  - JOUR
AU  - A. I. Kalinin
TI  - An asymptotic method for a singularly perturbed linear-quadratic optimal control problem
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 1473
EP  - 1483
VL  - 38
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a4/
LA  - ru
ID  - ZVMMF_1998_38_9_a4
ER  - 
%0 Journal Article
%A A. I. Kalinin
%T An asymptotic method for a singularly perturbed linear-quadratic optimal control problem
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 1473-1483
%V 38
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_9_a4/
%G ru
%F ZVMMF_1998_38_9_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

[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

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

[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

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

[7] Carlson D. A., Haurie A., Infinite horizon optimal control, Lect. Notes in Econom. and Math. Systems, 290, 1987 | Zbl

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

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