Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MGTA_2012_4_4_a6, author = {Igor I. Shevchenko}, title = {Guaranteed strategies with memory for alternative pursuit}, journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a}, pages = {114--128}, publisher = {mathdoc}, volume = {4}, number = {4}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_4_a6/} }
Igor I. Shevchenko. Guaranteed strategies with memory for alternative pursuit. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 4, pp. 114-128. http://geodesic.mathdoc.fr/item/MGTA_2012_4_4_a6/
[1] Abramyants T. G., Maslov E. P., Rubinovich E. Ya., “Prosteishaya differentsialnaya igra poocherednogo presledovaniya”, Avtomatika i telemekhanika, 1980, no. 8, 5–15 | MR | Zbl
[2] Aizeks R., Differentsialnye igry, Mir, M., 1967 | MR
[3] Kamneva L. V., “Dostatochnye usloviya stabilnosti dlya funktsii tseny differentsialnoi igry v terminakh singulyarnykh tochek”, Prikladnaya matematika i mekhanika, 67:3 (2003), 366–383 | MR | Zbl
[4] Krasovskii N. N., Kotelnikova A. N., “Unifikatsiya differentsialnykh igr, obobschennye resheniya uravnenii tipa Gamiltona–Yakobi, stokhasticheskii povodyr”, Differentsialnye uravneniya, 45:11 (2009), 1618–1633 | MR | Zbl
[5] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974 | MR | Zbl
[6] Malofeev O. A., Petrosyan L. A., “Igra prostogo presledovaniya s prepyatstviem”, Upravlyaemye sistemy, 1, 1971, 31–42
[7] Subbotin A. I., Obobschennye resheniya uravnenii v chastnykh proizvodnykh. Perspektivy dinamicheskoi optimizatsii, Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2003
[8] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985 | MR
[9] Shevchenko I. I., “Prosteishaya model poocherednogo presledovaniya”, Avtomatika i telemekhanika, 1982, no. 4, 40–42 | MR
[10] Shevchenko I. I., “Prosteishaya igra presledovaniya v pozitsiyakh, razdelennykh prepyatstviem”, Avtomatika i telemekhanika, 1989, no. 12, 39–48 | MR | Zbl
[11] Shevchenko I. I., Geometriya alternativnogo presledovaniya, Izd-vo Dalnevost. un-ta, Vladivostok, 2003
[12] Shevchenko I. I., “Reduktsiya differentsialnykh igr alternativnogo presledovaniya”, Izvestiya TINRO, 143 (2005), 374–392
[13] Bernhard P., “Singular Surfaces in Differential Games: An Introduction”, Differential Games and Applications, Springer Lecture Notes in Information and Control Sciences, 3, eds. P. Hargedorn, H. W. Knobloch, G. H. Olsder, Springer, Berlin, 1977, 1–33 | DOI | MR
[14] Breakwell J. V., Hagedorn P., “Point Capture of Two Evaders in Succession”, Journal of Optimization Theory and Applications, 27:1 (1979), 90–97 | DOI | MR
[15] Isbell J. R., “Pursuit Around a Hole”, Naval Research Quarterly, 14 (1967), 569–571 | DOI | Zbl