The method of modified Lagrange function for optimal control problem
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 27-44

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

The method for optimal control problem is considered. This method is known as the method of modified Lagrange function. The convergence of this method is proved.
Keywords: optimal control, Lagrange function, modified Lagrange function, method
Mots-clés : convergence.
A. S. Antipin. The method of modified Lagrange function for optimal control problem. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 27-44. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a2/
@article{IIGUM_2011_4_2_a2,
     author = {A. S. Antipin},
     title = {The method of modified {Lagrange} function for optimal control problem},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {27--44},
     year = {2011},
     volume = {4},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a2/}
}
TY  - JOUR
AU  - A. S. Antipin
TI  - The method of modified Lagrange function for optimal control problem
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2011
SP  - 27
EP  - 44
VL  - 4
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a2/
LA  - ru
ID  - IIGUM_2011_4_2_a2
ER  - 
%0 Journal Article
%A A. S. Antipin
%T The method of modified Lagrange function for optimal control problem
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2011
%P 27-44
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a2/
%G ru
%F IIGUM_2011_4_2_a2

[1] A. S. Antipin, “Ravnovesnoe programmirovanie: proksimalnye metody”, Zhurn. vychisl. matematiki i mat. fiziki, 37:11 (1997), 1327–1339 | MR | Zbl

[2] A. S. Antipin, “Ravnovesnoe programmirovanie: metody gradientnogo tipa”, Avtomatika i telemekhanika, 1997, no. 8, 1337–1347 | MR | Zbl

[3] A. S. Antipin, “Ekstraproksimalnyi metod resheniya ravnovesnykh i igrovykh zadach (so svyazannymi peremennymi)”, Zhurn. vychisl. matematiki i mat. fiziki, 45:11 (2005), 1974–1995 | MR

[4] O. V. Vasilev, A. V. Arguchintsev, Metody optimizatsii v zadachakh i uprazhneniyakh, Fizmatlit, M., 1999, 208 pp. | Zbl

[5] F. P. Vasilev, Metody optimizatsii, Faktorial Press, M., 2002, 824 pp.

[6] E. G. Golshtein, N. V. Tretyakov, Modifitsirovannye funktsii Lagranzha, Nauka, M., 1989, 400 pp. | MR

[7] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, Fizmatlit, M., 2009, 572 pp.

[8] B. T. Polyak, Vvedenie v optimizatsiyu, Nauka, M., 1983, 384 pp. | MR

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