Algorithm for solving a linear optimal control problem with minimax performance index
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1756-1765 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The optimal control problem for a linear system with direct constraints imposed on the control and terminal constraints imposed on the trajectory is investigated. The quality of the control is evaluated by a terminal minimax criterion. A two-stage algorithm for solving the problem is described, and a numerical example is given. The applicability of the algorithm's second stage to the correction of the solution under variations in the parameters of the original problem is discussed.
@article{ZVMMF_2005_45_10_a1,
     author = {M. Aidene and I. L. Vorob'\"ev and B. Oukacha},
     title = {Algorithm for solving a linear optimal control problem with minimax performance index},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1756--1765},
     year = {2005},
     volume = {45},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a1/}
}
TY  - JOUR
AU  - M. Aidene
AU  - I. L. Vorob'ëv
AU  - B. Oukacha
TI  - Algorithm for solving a linear optimal control problem with minimax performance index
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 1756
EP  - 1765
VL  - 45
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a1/
LA  - ru
ID  - ZVMMF_2005_45_10_a1
ER  - 
%0 Journal Article
%A M. Aidene
%A I. L. Vorob'ëv
%A B. Oukacha
%T Algorithm for solving a linear optimal control problem with minimax performance index
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 1756-1765
%V 45
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a1/
%G ru
%F ZVMMF_2005_45_10_a1
M. Aidene; I. L. Vorob'ëv; B. Oukacha. Algorithm for solving a linear optimal control problem with minimax performance index. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 10, pp. 1756-1765. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_10_a1/

[1] Aiden M., “Algoritm resheniya minimaksnykh zadach optimalnogo upravleniya”, Dokl. AN BSSR, 30:1 (1986), 24–27 | MR

[2] Gabasov R., Adaptive method of solving linear programming problems, Preprint Univ. Karlsruhe, Inst. Statistic and Math., 1994

[3] Gabasov P., Kirillova F. M., Metody lineinogo programmirovaniya, v. 2, Izd-vo BGU, Minsk, 1978, 239 pp. ; т. 3, 1980, 369 с. | Zbl

[4] Gabasov R., Kirillova F. M., Kostyukova O. I., Raketskii V. M., Konstruktivnye metody optimizatsii, v. 4, Universitetskoe, Minsk, 1987 | MR | Zbl