Geodesic
A study of the generalized Pontryagin test example from the theory of differential games
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 2, pp. 211-217 Cet article a éte moissonné depuis la source Math-Net.Ru

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A generalization of L.S.Pontryagin's test example from the theory of differential games is considered. The study is based on Pontryagin's first direct method, which was developed for the constructive solution of the performance problem in linear pursuit-evasion differential games.
Keywords: differential games, Pontryagin's test example, Pontryagin's first direct method. 
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M. S. Nikol'skii. A study of the generalized Pontryagin test example from the theory of differential games. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 2, pp. 211-217. http://geodesic.mathdoc.fr/item/TIMM_2016_22_2_a22/

[1] Pontryagin L.S., “K teorii differentsialnykh igr”, Uspekhi mat. nauk, 21:4 (1966), 219–274 | MR | Zbl

[2] Pontryagin L.S., Mischenko E.F., “Lineinye differentsialnye igry”, Dokl. AN SSSR, 174:1 (1967), 27–29 | Zbl

[3] Pontryagin L.S., “O lineinykh differentsialnykh igrakh. 1”, Dokl. AN SSSR, 174:6 (1967), 1278–1280 | Zbl

[4] Pontryagin L.S., “O lineinykh differentsialnykh igrakh. 2”, Dokl. AN SSSR, 175:4 (1967), 764–766 | Zbl

[5] Pontryagin L.S., “Lineinye differentsialnye igry presledovaniya”, Mat. sb. Novaya seriya, 112:3 (1980), 307–330 | MR | Zbl

[6] Pontryagin L.S., “Lineinaya differentsialnaya igra ubeganiya”, Tr. MIAN, 112 (1971), 30–63 | Zbl

[7] Nikolskii M.S., Pervyi pryamoi metod L.S. Pontryagina v differentsialnykh igrakh, ucheb. posob., Izd-vo Mosk. un-ta, M., 1984, 65 pp.

[8] Aizeks R., Differentsialnye igry, Mir, M., 1967, 480 pp. | MR

[9] Pshenichnyi B.N., “Lineinye differentsialnye igry”, Avtomatika i telemekhanika, 1968, no. 1, 65–78 | MR

[10] Krasovskii N.N., Subbotin A.I., Pozitsionnye differentsialnye igry, Nauka, M., 1974, 456 pp. | MR

[11] Blagodatskikh V.I., Vvedenie v optimalnoe upravlenie. Lineinaya teoriya, Vyssh. shk., M., 2001, 239 pp.

[12] Gantmakher F.R., Teoriya matrits, Fizmatlit, M., 2004, 560 pp.

[13] Arnold V.I., Obyknovennye differentsialnye uravneniya, Izd-vo Udm. GU, Izhevsk, 2000, 368 pp. | MR

[14] Kolmogorov A.N., Fomin S.V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1976, 544 pp. | MR