Geodesic
A game problem with asymptotic impulse control
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 3-14
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider a game problem of maximin of cost function defined on the product of attraction sets of players' dynamic systems terminal positions. These sets are constructed using the extension in the class of finitely additive measures.
Keywords: impulse control, finitely additive measures, extension
Mots-clés : maximin. 
@article{VUU_2011_3_a0,
     author = {A. P. Baklanov},
     title = {A game problem with asymptotic impulse control},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {3--14},
     year = {2011},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a0/}
}
TY  - JOUR
AU  - A. P. Baklanov
TI  - A game problem with asymptotic impulse control
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2011
SP  - 3
EP  - 14
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VUU_2011_3_a0/
LA  - ru
ID  - VUU_2011_3_a0
ER  - 
%0 Journal Article
%A A. P. Baklanov
%T A game problem with asymptotic impulse control
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2011
%P 3-14
%N 3
%U http://geodesic.mathdoc.fr/item/VUU_2011_3_a0/
%G ru
%F VUU_2011_3_a0
A. P. Baklanov. A game problem with asymptotic impulse control. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 3-14. http://geodesic.mathdoc.fr/item/VUU_2011_3_a0/

[1] Elyasberg P. E., Vvedenie v teoriyu poleta iskusstvennykh sputnikov Zemli, Nauka, M., 1965, 540 pp.

[2] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968, 476 pp. | MR

[3] Chentsov A. G., Finitely additive measures and relaxations of extremal problems, Plenum Publishing Corporation, New York–London–Moscow, 1996, 244 pp. | MR | Zbl

[4] Chentsov A. G., Asymptotic attainability, Kluwer Academic Publishers, Dordrecht–Boston–London, 1997, 322 pp. | MR | Zbl

[5] Chentsov A. G., Morina S. I., Extensions and Relaxations, Kluwer Academic Publishers, Dordrecht–Boston–London, 2002, 408 pp. | MR | Zbl

[6] Chentsov A. G., “Finitely additive measures and extensions of abstract control problems”, Journal of Mathematical Sciences, 133:2 (2006), 1045–1206 | DOI | MR | Zbl

[7] Skvortsova A. V., Chentsov A. G., “O postroenii asimptoticheskogo analoga puchka traektorii lineinoi sistemy s odnoimpulsnym upravleniem”, Differentsialnye uravneniya, 40:12 (2004), 1645–1657 | MR | Zbl

[8] Chentsov A. G., “O predstavlenii maksimina v igrovoi zadache s ogranicheniyami asimptoticheskogo kharaktera”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye Nauki, 2010, no. 3, 104–119

[9] Chentsov A. G., Shapar Yu. V., “Konechno-additivnye mery i rasshireniya igrovykh zadach s ogranicheniyami asimptoticheskogo kharaktera”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye Nauki, 2010, no. 1, 89–111 | MR

[10] Chentsov A. G., Elementy konechno-additivnoi teorii mery, v. 1, RIO UGTU-UPI, Ekaterinburg, 2008, 389 pp.

[11] Burbaki N., Obschaya topologiya. Osnovnye struktury, Nauka, M., 1968, 272 pp. | MR

[12] Kelli Dzh. L., Obschaya topologiya, Nauka, M., 1968, 385 pp. | MR

[13] Danford N., Shvarts Dzh. T., Lineinye operatory. Obschaya teoriya, Izd-vo inostr. lit., M., 1962, 895 pp. | MR

[14] Chentsov A. G., Konechno-additivnye mery i relaksatsii ekstremalnykh zadach, Nauka, Ekaterinburg, 1993, 232 pp.

[15] Joside K., Hewitt E. H., “Finitely additive measures”, Trans. Amer. Soc., 72 (1952), 46–66 | DOI | MR