Control optimization in a hyperbolic linear system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 8-23
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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.
@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/}
}
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/
[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