Geodesic
The pursuit problem in $n$-person differential games
Sbornik. Mathematics, Tome 63 (1989) no. 1, pp. 35-45 
N. L. Grigorenko. The pursuit problem in $n$-person differential games. Sbornik. Mathematics, Tome 63 (1989) no. 1, pp. 35-45. http://geodesic.mathdoc.fr/item/SM_1989_63_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions are obtained for solvability of the problem of pursuit of two evader objects by several controlled objects. The differential game with three pursuers and two evaders having simple motions and the same maximal velocity is solved. Bibliography: 9 titles.

[1] Pontryagin L. S., “O lineinykh differentsialnykh igrakh I”, DAN SSSR, 174:6, 1278–1280 | Zbl

[2] Pontryagin L. S., “Lineinye differentsialnye igry presledovaniya”, Mat. sb., 112(154) (1980), 307–330 | MR | Zbl

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

[4] Mischenko E. F., Nikolskii M. S, Satimov N. Yu., “Zadacha ukloneniya ot vstrechi v differentsialnykh igrakh mnogikh lits”, Trudy MIAN, 143 (1977), 105–128 | MR | Zbl

[5] Petrosyan L. A., Shiryaev V. D., “Gruppovoe presledovanie odnim presledovatelem neskolkikh presleduemykh”, Vestnik LGU, 1980, no. 13, 50–57 | MR | Zbl

[6] Ivanov M. N., Maslov E. P., “O sravnenii dvukh metodov presledovaniya v zadache o poocherednoi vstreche”, Avtomat. i telemekh., 1983, no. 7, 38–43 | Zbl

[7] Grigorenko N. L., “Presledovanie neskolkimi upravlyaemymi ob'ektami dvukh ubegayuschikh”, DAN SSSR, 282:6 (1985), 1051–1054 | MR | Zbl

[8] Grigorenko N. L., Differentsialnye igry presledovaniya neskolkimi ob'ektami, Izd-vo MGU, M., 1983

[9] Varga D., Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977, S. 64–90 | MR