The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 3, pp. 432-443 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_3_a5,
     author = {A. I. Kalinin and K. V. Sem\"enov},
     title = {The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {432--443},
     year = {2004},
     volume = {44},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a5/}
}
TY  - JOUR
AU  - A. I. Kalinin
AU  - K. V. Semënov
TI  - The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 432
EP  - 443
VL  - 44
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a5/
LA  - ru
ID  - ZVMMF_2004_44_3_a5
ER  - 
%0 Journal Article
%A A. I. Kalinin
%A K. V. Semënov
%T The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 432-443
%V 44
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a5/
%G ru
%F ZVMMF_2004_44_3_a5
A. I. Kalinin; K. V. Semënov. The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 3, pp. 432-443. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a5/

[1] Vasileva A. B., Dmitriev M. G., “Singulyarnye vozmuscheniya v zadachakh optimalnogo upravleniya”, Itogi nauki i tekhn. Ser. Matem. analiz, 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 N. 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. AH CSSR, 293:1 (1987), 22–26 | MR | Zbl

[6] Kalinin A. I., Asimptoticheskie metody optimizatsii vozmuschennykh dinamicheskikh sistem, Ekoperspektiva, Minsk, 2000

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

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

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

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