Geodesic
Control optimization in a hyperbolic linear system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 8-23 
A. I. Tyatyushkin. Control optimization in a hyperbolic linear system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 8-23. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a2/
@article{ZVMMF_2012_52_1_a2,
     author = {A. I. Tyatyushkin},
     title = {Control optimization in a hyperbolic linear system},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {8--23},
     year = {2012},
     volume = {52},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a2/}
}
TY  - JOUR
AU  - A. I. Tyatyushkin
TI  - Control optimization in a hyperbolic linear system
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2012
SP  - 8
EP  - 23
VL  - 52
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a2/
LA  - ru
ID  - ZVMMF_2012_52_1_a2
ER  - 
%0 Journal Article
%A A. I. Tyatyushkin
%T Control optimization in a hyperbolic linear system
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 8-23
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a2/
%G ru
%F ZVMMF_2012_52_1_a2

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

An optimal control problem is considered for a distributed-parameter Goursat–Darboux system with controlled boundary conditions. For the numerical solution of the problem, an algorithm based on separability and minimax theorems is constructed, which reduces the problem to finding the maximum of a concave functional defined in the class of one-variable functions.

[1] Tikhonov A.N., Samarskii A.A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972

[2] Gabasov R., Kirillova F.M., Kachestvennaya teoriya optimalnykh protsessov, Nauka, M., 1971

[3] Plotnikov V.I., Sumin V.I., “Problemy ustoichivosti nelineinykh sistem Gursa–Darbu”, Differents. ur-niya, 8:5 (1972), 845–856 | MR | Zbl

[4] Vasilev O.V., Tyatyushkin A.I., “K vychisleniyu optimalnogo programmnogo upravleniya v odnoi zadache s raspredelennymi parametrami”, Zh. vychisl. matem. i matem. fiz., 15:4 (1975), 1047–1053 | MR | Zbl

[5] Erfurth H., Benker H., “Zur Optimizierung Spezieller Systeme mit verteilten Parametern”, Wiss. Z. Techn. Hochschule Chem. Leuna, Merseburg, 11:3 (1969), 282–284 | MR | Zbl