Geodesic
Using the stability defect for the construction of control in the differential game
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 155-162 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper presents the conflict-controlled system on finite time interval. The stability property is considered which is the basic notion in the theory of positional differential games. 
@article{VUU_2008_2_a51,
     author = {V. N. Ushakov and S. A. Brykalov and Ya. A. Latushkin},
     title = {Using the stability defect for the construction of control in the differential game},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {155--162},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a51/}
}
TY  - JOUR
AU  - V. N. Ushakov
AU  - S. A. Brykalov
AU  - Ya. A. Latushkin
TI  - Using the stability defect for the construction of control in the differential game
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 155
EP  - 162
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_2_a51/
LA  - ru
ID  - VUU_2008_2_a51
ER  - 
%0 Journal Article
%A V. N. Ushakov
%A S. A. Brykalov
%A Ya. A. Latushkin
%T Using the stability defect for the construction of control in the differential game
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 155-162
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2008_2_a51/
%G ru
%F VUU_2008_2_a51
V. N. Ushakov; S. A. Brykalov; Ya. A. Latushkin. Using the stability defect for the construction of control in the differential game. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 155-162. http://geodesic.mathdoc.fr/item/VUU_2008_2_a51/

[1] Krasovskii N. N., “Igrovye zadachi dinamiki”, Izv. AN SSSR. Tekhn. kibernetika, 1969, no. 5, 3–12 | MR

[2] Krasovskii N. N., Igrovye zadachi o vstreche dvizhenii, Nauka, M., 1970 | MR

[3] Krasovskii N. N., Subbotin A. I., “O strukture differentsialnykh igr”, Dokl. AN SSSR, 190:3 (1969), 523–526 | MR

[4] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974 | MR | Zbl

[5] Krasovskii N. N., “K zadache unifikatsii differentsialnykh igr”, Dokl. AN SSSR, 226:6 (1976), 1260–1263 | MR

[6] Krasovskii N. N., “Unifikatsiya differentsialnykh igr”, Igrovye zadachi upravleniya, Trudy Instituta matematiki i mekhaniki UNTs AN SSSR, 24, Sverdlovsk, 1977, 32–45 | MR

[7] Tarasev A. M., Ushakov V. N., O postroenii stabilnykh mostov v minimaks- noi igre sblizheniya ukloneniya, Dep. v VINITI. No 2454-83, Sverdlovsk, 1983, 61 pp.

[8] Guseinov H. G., Subbotin A. I., and Ushakov V. N., “Derivatives for Multivalued Mappings with Applications to Game Theoretical Problems of Control”, Problems Control Inform. Theory, 14:6 (1985), 405–419 | MR

[9] Subbotin A. I., Generalized Solutions of First-Order PDEs. The Dynamical Optimization Perspective, System Control: Foundation Appl., Birkhäuser, Boston, 1995, 312 pp. | MR

[10] Ushakov V. N., Latushkin Ya. A., “Defekt stabilnosti mnozhestv v prostranstve pozitsii igry”, Trudy MIRAN, 24, M., 2008