Necessary optimality conditions for singular controls
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1506-1511 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A definition of singular controls with respect to components is given that includes, in particular, the conventional definition. On the basis of this definition, new necessary optimiality conditions for singular controls with respect to components are derived for the processes governed by systems of ordinary differential equations.
@article{ZVMMF_2007_47_9_a5,
     author = {Sh. Sh. Yusubov},
     title = {Necessary optimality conditions for singular controls},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1506--1511},
     year = {2007},
     volume = {47},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a5/}
}
TY  - JOUR
AU  - Sh. Sh. Yusubov
TI  - Necessary optimality conditions for singular controls
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 1506
EP  - 1511
VL  - 47
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a5/
LA  - ru
ID  - ZVMMF_2007_47_9_a5
ER  - 
%0 Journal Article
%A Sh. Sh. Yusubov
%T Necessary optimality conditions for singular controls
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1506-1511
%V 47
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a5/
%G ru
%F ZVMMF_2007_47_9_a5
Sh. Sh. Yusubov. Necessary optimality conditions for singular controls. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1506-1511. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a5/

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

[2] Rozonoer L. I., “Printsip maksimuma L. S. Pontryagina v teorii optimalnykh sistem. II”, Avtomatika i telemekhan., 1959, no. 11, 1441–1458

[3] Gabasov R., “K teorii neobkhodimykh uslovii optimalnosti osobykh upravlenii”, Dokl. AN SSSR, 183:2 (1968), 300–302 | Zbl

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

[5] Gabasov R., Kirillova F. M., Mansimov K. B., Neobkhodimye usloviya optimalnosti vtorogo poryadka (obzor), Preprint No 30(155), Bel. gos. un-t, Minsk, 1982, 47 pp. | MR

[6] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR

[7] Yusubov Sh. Sh., Neobkhodimye usloviya optimalnosti dlya nekotorykh sistem, Preprint 15, BGU, Baku, 2006, 33 pp.