Geodesic
Necessary optimality conditions for systems with impulse control
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 233-237
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An optimal control problem for systems with impulse controls is considered. Necessary optimality conditions for singular controls in the sense of the Pontryagin maximum principle are obtained. 
@article{ZVMMF_2005_45_2_a5,
     author = {Sh. Sh. Yusubov},
     title = {Necessary optimality conditions for systems with impulse control},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {233--237},
     year = {2005},
     volume = {45},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a5/}
}
TY  - JOUR
AU  - Sh. Sh. Yusubov
TI  - Necessary optimality conditions for systems with impulse control
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 233
EP  - 237
VL  - 45
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a5/
LA  - ru
ID  - ZVMMF_2005_45_2_a5
ER  - 
%0 Journal Article
%A Sh. Sh. Yusubov
%T Necessary optimality conditions for systems with impulse control
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 233-237
%V 45
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a5/
%G ru
%F ZVMMF_2005_45_2_a5
Sh. Sh. Yusubov. Necessary optimality conditions for systems with impulse control. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 233-237. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a5/

[1] Velichenko V. V., “Optimalnoe upravlenie sostavnymi sistemami”, Dokl. AN SSSR, 176:4 (1967), 754–756 | Zbl

[2] Medvedev V. L., Rozova V. N., “Optimalnoe upravlenie stupenchatymi sistemami”, Avtomatika i telemekhan., 1972, no. 3, 15–23 | Zbl

[3] Kharatishvili G. L., “Printsip maksimuma v optimalnykh zadachakh s pereklyucheniem”, Tr. In-ta sistem upravleniya AN GSSR, 19, no. 1, Metsniereba, Tbilisi, 1980, 5–17 | MR

[4] Zakharov G. K., “Optimizatsiya stupenchatykh sistem upravleniya”, Avtomatika i telemekhan., 1981, no. 8, 5–9 | Zbl

[5] Boltyanskii V. G., “Zadacha optimizatsii so smenoi fazovogo prostranstva”, Differents. ur-niya, 19:3 (1983), 518–521 | MR

[6] Nikolskii M. S., “Ob odnoi variatsionnoi zadache s peremennoi strukturoi”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibernetika, 1987, no. 1, 36–41 | MR

[7] Samoilenko A. M., Perestyuk N. A., Differentsialnye uravneniya s impulsnym vozdeistviem, Vischa shkola, Kiev, 1987

[8] Aschepkov L. T., Optimalnoe upravlenie razryvnymi sistemami, Nauka, Novosibirsk, 1987

[9] Yusubov Sh. Sh., Neobkhodimye usloviya optimalnosti dlya nekotorykh sistem s impulsnym vozdeistviem, Preprint No 20, BGU, Baku, 2000, 31 pp.

[10] Gabasov R., Kirillova F. M., Osobye optimalnye upravleniya, Nauka, M., 1973 | MR

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

[12] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1980 | MR

[13] Kaganovich S. L., “Ob induktsionnom metode issledovaniya osobykh ekstremalei”, Avtomatika i telemekhan., 1976, no. 11, 28–39 | MR | Zbl