Geodesic
About one problem of a pulse meeting
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 42-45 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the game problem of a pulse meeting in the given moment of time, in the case when the first player chooses group of pulse managements, for choice of each of which it is possible to spend the set quantity of resources in control process. On choice of control of the second player geometrical restriction is imposed. Sufficient conditions of possibility of the termination of game from preset startstate are found and corresponding pulse controls are constructed.
Keywords: game problem, pulse meeting, attainability domain, stable bridge. 
@article{VUU_2008_3_a4,
     author = {V. I. Ukhobotov and O. V. Zaitseva},
     title = {About one problem of a~pulse meeting},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {42--45},
     year = {2008},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_3_a4/}
}
TY  - JOUR
AU  - V. I. Ukhobotov
AU  - O. V. Zaitseva
TI  - About one problem of a pulse meeting
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 42
EP  - 45
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_3_a4/
LA  - ru
ID  - VUU_2008_3_a4
ER  - 
%0 Journal Article
%A V. I. Ukhobotov
%A O. V. Zaitseva
%T About one problem of a pulse meeting
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 42-45
%N 3
%U http://geodesic.mathdoc.fr/item/VUU_2008_3_a4/
%G ru
%F VUU_2008_3_a4
V. I. Ukhobotov; O. V. Zaitseva. About one problem of a pulse meeting. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 42-45. http://geodesic.mathdoc.fr/item/VUU_2008_3_a4/

[1] Krasovskii N. N., “Ob odnoi zadache presledovaniya”, PMM, 27:2 (1963), 244–254 | MR

[2] Subbotina N. N., Subbotin A. I., “Alternativa dlya differentsialnoi igry sblizheniya-ukloneniya pri ogranicheniyakh na impulsy upravlenii igrokov”, PMM, 39:3 (1975), 397–406 | MR | Zbl

[3] Ukhobotov V. I., “Lineinaya differentsialnaya igra s ogranicheniyami na impulsy upravlenii”, PMM, 52:3 (1988), 355–362 | MR | Zbl

[4] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1980, 319 pp.

[5] Ukhobotov V. I., Metod odnomernogo proektirovaniya v lineinykh differentsialnykh igrakh s integralnymi ogranicheniyami: Ucheb. posobie, Chelyab. gos. un-t, Chelyabinsk, 2005, 124 pp.