Geodesic
Iterative procedures of improvement in control problems for finite number of functionals
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 16-26

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

Two classes of optimal control problems are considered on the basis of finite number of functionals. The problem of improvement of admissible controls is solved by reduction to the system of integral equations with respect to functional parameters of variation. Necessary condition of optimality is connected with the inconsistency of the introduced system of relations. An improving iteration consists of solving special optimal control problems for the minimum of terminal state norm.
Keywords: optimal control problems, improving methods, finite number of functionals. 
E. V. Aksenyushkina. Iterative procedures of improvement in control problems for finite number of functionals. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 16-26. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a1/
@article{IIGUM_2011_4_2_a1,
     author = {E. V. Aksenyushkina},
     title = {Iterative procedures of improvement in control problems for finite number of functionals},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {16--26},
     year = {2011},
     volume = {4},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a1/}
}
TY  - JOUR
AU  - E. V. Aksenyushkina
TI  - Iterative procedures of improvement in control problems for finite number of functionals
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2011
SP  - 16
EP  - 26
VL  - 4
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a1/
LA  - ru
ID  - IIGUM_2011_4_2_a1
ER  - 
%0 Journal Article
%A E. V. Aksenyushkina
%T Iterative procedures of improvement in control problems for finite number of functionals
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2011
%P 16-26
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a1/
%G ru
%F IIGUM_2011_4_2_a1

[1] T. K. Vinogradova, V. F. Demyanov, “K neobkhodimym usloviyam v minimaksnykh zadachakh teorii upravleniya”, Zhurn. vychisl. matematiki i mat. fiziki, 14:1 (1974), 233–236 | MR | Zbl

[2] V. F. Demyanov, V. N. Malozemov, Vvedenie v minimaks, Nauka, M., 1972, 368 pp. | MR

[3] A. F. Izmailov, M. F. Solodov, Chislennye metody optimizatsii, Fizmatlit, M., 2003, 304 pp. | MR

[4] V. K. Sivtsova, “O dostatochnosti uslovii optimalnosti v negladkikh zadachakh teorii upravleniya”, Vestn. LGU. Ser.: Matematika, mekhanika, astronomiya, 1985, no. 8, 27–32 | MR | Zbl

[5] V. A. Srochko, Iteratsionnye metody resheniya zadach optimalnogo upravleniya, Fizmatlit, M., 2000, 160 pp.