Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2020_3_a1, author = {N. A. Mamadaliev}, title = {The pursuit problem for linear games with integral constraints on players' controls}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {12--28}, publisher = {mathdoc}, number = {3}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2020_3_a1/} }
TY - JOUR AU - N. A. Mamadaliev TI - The pursuit problem for linear games with integral constraints on players' controls JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2020 SP - 12 EP - 28 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2020_3_a1/ LA - ru ID - IVM_2020_3_a1 ER -
N. A. Mamadaliev. The pursuit problem for linear games with integral constraints on players' controls. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 12-28. http://geodesic.mathdoc.fr/item/IVM_2020_3_a1/
[1] Aizeks R., Differentsialnye igry, Mir, M., 1967
[2] Berkovitz L. D., “Differential games of survival”, J. Math. Anal. Appl., 129:2 (1988), 493–504 | DOI | MR | Zbl
[3] Berkovitz L. D., “Characterizations of the differential games”, Appl. Math. Optimiz., 17:2 (1988), 177–183 | DOI | MR | Zbl
[4] Fleming W. H., “The convergence problem for differential games”, J. Math. Anal. Appl., 3:1 (1961), 102–116 | DOI | MR | Zbl
[5] Friedman A., Differential games, New York, 1966 | MR
[6] Krasovskii N.N., Subbotin A.I., “Differentsialnaya igra navedeniya”, Differents. uravneniya, 6:4 (1970), 579–591 | MR
[7] Krasovskii N.N., Igrovye zadachi o vstreche dvizhenii, Nauka, M., 1970
[8] Krasovskii N.N., Upravlenie dinamicheskoi sistemoi, Nauka, M., 1985
[9] Krasovskii N.N., Subbotin A.I., “Alternativa dlya igrovoi zadachi sblizheniya”, Prikl. matem. i mekhan., 34:6 (1970), 1005–1022
[10] Krasovskii N.N., Subbotin A.I., Pozitsionnye differentsialnye igry, Nauka, M., 1974 | MR
[11] Kurzhanskii A.B., “Differentsialnye igry sblizheniya v sistemakh s zapazdyvaniem”, Differents. uravneniya, 7:8 (1971), 1398–1409 | MR
[12] Kryazhimskii A.V., Osipov Yu.S., “Differentsialno-raznostnaya igra sblizheniya s funktsionalnym tselovym mnozhestvom”, Prikl. matem. i mekhan., 37:1 (1973), 3–13 | MR | Zbl
[13] Subbotin A.I., Minimaksnye neravenstva i uravneniya Gamiltona–Yakobi, Nauka, M., 1991
[14] Subbotin A.I., “Obobschenie osnovnogo uravneniya teorii differentsialnykh igr”, DAN SSSR, 254:2 (1980), 293–297 | MR | Zbl
[15] Subbotin A.I., Subbotina N.N., “Neobkhodimye i dostatochnye usloviya dlya kusochno-gladkoi differentsialnoi igry”, DAN SSSR, 243:4 (1978), 862–865 | MR | Zbl
[16] Subbotin A.I., Chentsov A.G., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981 | MR
[17] Tarasev A.M., Ushakov V.N., “Algoritm postroeniya stabilnogo mosta v lineinoi zadache sblizheniya s vypukloi tselyu”, Issledov. zadach minimaksnogo upravleniya, Izd-vo UNTs AN, Sverdlovsk, 1985, 82–90 | MR
[18] Ushakov V.N., “Ekstremalnye strategii v differentsialnykh igrakh s integralnymi ogranicheniyami”, Prikl. matem. i mekhan., 36:1 (1972), 15–22
[19] Pontryagin L.C., “Lineinye differentsialnye igry presledovaniya”, Matem. sb., 112:3 (1980), 307–330 | MR | Zbl
[20] Pontryagin L.S., “O lineinykh differentsialnykh igrakh I”, DAN SSSR, 174:6 (1967), 1278–1280 | Zbl
[21] Mischenko E.F., Catimov N.Yu., “Alternirovannyi integral v lineinykh differentsialnykh igrakh s nelineinymi upravleniyami”, Differents. uravneniya, 10:12 (1974), 2173–2178
[22] Pontryagin L.S., Izbrannye nauchnye trudy, v. 2, Nauka, M., 1988
[23] Pontryagin L.S., “K teorii differentsialnykh igr”, UMN, 21:4 (1966), 219–274 | MR | Zbl
[24] Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V. i dr., Matematicheskaya teoriya optimalnykh protsessov, Nauka, M., 1969 | MR
[25] Mischenko E.F., Pontryagin L.C., “Lineinye differentsialnye igry”, DAN SSSR, 174:1 (1967), 27–29
[26] Azamov A., Samatov B.T., “O modifitsirovannom tretem metode v zadachakh presledovaniya”, Ne-klassicheskie zadachi matematicheskoi fiziki, FAN, Tashkent, 1985, 174–184 | MR
[27] Grigorenko H.L., Matematicheskie metody upravleniya neskolkimi dinamicheskimi protsessami, Izd-vo MGU, M., 1990
[28] Mamadaliev N.A., “O zadachakh presledovaniya v lineinykh differentsialnykh igrakh pri nalichii zapazdyvanii”, Izv. vuzov. Matem., 2010, no. 6, 16–22 | Zbl
[29] Nikolskii M.S., Pervyi pryamoi metod L.C. Pontryagina v differentsialnykh igrakh, Izd-vo MGU, M., 1984
[30] Nikolskii M.S., “Lineinye differentsialnye igry presledovaniya pri nalichii zapazdyvanii”, Differents. uravneniya, 8:2 (1972), 260–267 | MR
[31] Nikolskii M.S., “Lineinye differentsialnye igry presledovaniya pri nalichii zapazdyvanii”, DAN SSSR, 197:5 (1971), 1018–1021
[32] Nikolskii M.S., “O zadache presledovaniya pri razlichnykh ogranicheniyakh na upravleniya dogonyayuschego i ubegayuschego”, Teor. optim. reshenii, Izd-e in-ta kibernetiki, Kiev, 1975, 59–66
[33] Chikrii A.A., Pittsyk M.V., Shishkina N.B., “Pervyi pryamoi metod L.S.Pontryagina i nekotorye effektivnye sposoby presledovaniya”, Kibernetika, 1986, no. 5, 75–81
[34] Chikrii A.A., Chikrii G.Ts., “Gruppovoe presledovanie v differentsialno-raznostnykh igrakh”, Differents. uravneniya, 20:5 (1984), 802–810 | MR
[35] Chikrii A.A., “Garantirovannyi rezultat v igrovykh zadachakh upravleniya dvizheniem”, Tr. IMM UrO RAN, 16, no. 5, 2010, 223–232
[36] Chikrii A.A., Konfliktno upravlyaemye protsessy, Naukov. dumka, Kiev, 1992
[37] Satimov N.Yu., “K zadache presledovaniya v lineinykh differentsialnykh igrakh”, Differents. uravneniya, 9:11 (1973), 2000–2009 | MR | Zbl
[38] Azamov A., “Dvoistvennost lineinykh differentsialnykh igr presledovaniya”, DAN SSSR, 263:4 (1982), 777–780 | MR | Zbl
[39] Azamov A., Matematicheskie trudy, “Universitet”, Tashkent, 2017
[40] Azamov A., “O vtorom metode Pontryagina v lineinykh differentsialnykh igrakh presledovaniya”, Matem. sb., 118:3 (1982), 422–430 | MR | Zbl
[41] Azamov A., “Ob alternative dlya igr presledovaniya na beskonechnom intervale vremeni”, Prikl. matem. i mekhan., 50:4 (1986), 561–570 | MR
[42] Azamov A., “Poluustoichivost i dvoistvennost v teorii alternirovannogo integrala Pontryagina”, DAN SSSR, 299:2 (1988), 265–286 | MR
[43] Pshenichnyi B.N., “Lineinye differentsialnye igry”, Avtomatika i telemekhanika, 1968, no. 1, 65–78
[44] Satimov N.Yu., “Ob odnom metode presledovaniya v lineinykh differentsialnykh igrakh”, DAN RUz, 1981, no. 6, 7–8
[45] Satimov N.Yu., Karabaev E.O., “Ob odnom metode resheniya zadachi presledovaniya”, DAN RUz, 1986, no. 3, 7–9 | Zbl
[46] Satimov N.Yu., “O zadache presledovaniya v kvazilineinykh differentsialnykh igrakh mnogikh lits”, Neklassicheskie zadachi matematicheskoi fiziki, FAN, Tashkent, 1985, 154–174
[47] Fazylov A.Z., O strukture diskretnykh i nepreryvnykh igr, Diss. ... kand. fiz.-matem. nauk, Tashkent, 1981, 94 pp.
[48] Yugai L.P., O zadache ukloneniya v differentsialnykh igrakh mnogikh lits, Diss. ... kand. fiz.-matem. nauk, Tashkent, 1978, 137 pp.
[49] Kurzhanskii A.B., Osipov Yu.S., “K zadache programmnogo presledovaniya v lineinykh sistemakh”, Izv. AN, Tekhn. kibernetika, 1970, no. 3, 18–29 | Zbl
[50] Krasovskii N.N., Osipov Yu.S., “Lineinye differentsialno-raznostnye igry”, DAN SSSR, 197:4 (1971), 777–780
[51] Ostapenko V.V., Yakovleva A.P., “Zadacha ukloneniya ot vstrechi pri zapazdyvayuschem argumente”, Avtomatika i telemekhanika, 1981, no. 8, 10–14 | Zbl
[52] Osipov Yu.S., “Differentsialnye igry sistem s posledeistviem”, DAN SSSR, 196:4 (1971), 779–782 | Zbl
[53] Bellman R., Kuk K., Differentsialno-raznostnye uravneniya, Nauka, M., 1967
[54] Rezvan V., Absolyutnaya ustoichivost avtomaticheskikh sistem s zapazdyvaniem, Nauka, M., 1983
[55] Halanay A., Differential Equations, Stability, Oscillations. Time Lags, Akad. Press, New York, 1966 | MR
[56] Myshkis A.D., Lineinye differentsialnye uravneniya s zapazdyvayuschim argumentom, Nauka, M., 1972 | MR
[57] Kheil Dzh., Teoriya funktsialno-differentsialnykh uravnenii, Mir, M., 1984
[58] Varga Dzh., Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977
[59] Kolmogorov A.N., Fomin S.V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972