On the iterative realization of nonanticipating multivalued mappings

A. G. Chentsov

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2000), pp. 66-76.

Bibliographie

[1] Chentsov A. G., “O strukture odnoi igrovoi zadachi sblizheniya”, DAN SSSR, 224:6 (1975), 1272–1275 | MR | Zbl

[2] Chentsov A. G., “K igrovoi zadache navedeniya”, DAN SSSR, 226:1 (1976), 73–76 | MR | Zbl

[3] Chentsov A. G., Metod programmnykh iteratsii dlya differentsialnoi igry sblizheniya-ukloneniya, Dep. v VINITI 04.06.79, No 1933–79, In-t matem i mekhan. Uralsk. nauch. tsentra AN SSSR, Sverdlovsk, 1979, 102 pp.

[4] Subbotin A. I., Chentsov A. G., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981, 287 pp. | MR

[5] Krasovskii N. N., Igrovye zadachi o vstreche dvizhenii, Nauka, M., 1970, 420 pp. | MR

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

[7] Krasovskii N. N., Upravlenie dinamicheskoi sistemoi. Zadacha o minimume garantirovannogo rezultata, Nauka, M., 1985, 518 pp. | MR

[8] Chentsov A. G., “K igrovoi zadache navedeniya s informatsionnoi pamyatyu”, DAN SSSR, 227:2 (1976), 306–308 | MR | Zbl

[9] Chentsov A. G., O differentsialnykh igrakh s ogranicheniem na chislo korrektsii, I, Dep. v VINITI 15.12.80, No 5272-80, In-t matem i mekhan. Uralsk. nauch. tsentra AN SSSR, Sverdlovsk, 1980, 59 pp. | MR | Zbl

[10] Chentsov A. G., O differentsialnykh igrakh s ogranicheniem na chislo korrektsii, II, Dep. v VINITI 22.12.80, No 5406-80, In-t matem i mekhan. Uralsk. nauch. tsentra AN SSSR, Sverdlovsk, 1980, 55 pp. | MR | Zbl

[11] Dyatlov V. P., Chentsov A. G., “Monotonnye iteratsii mnozhestv i ikh prilozheniya k igrovym zadacham upravleniya”, Kibernetika, 1987, no. 2, 92–99 | MR | Zbl

[12] Chentsov A. G., O zadache upravleniya s ogranichennym chislom pereklyuchenii, Dep. v VINITI 10.07.87, No 4942-B87, Uralsk. politekhn. in-t, Sverdlovsk, 1987, 44 pp.

[13] Rolschikov V. E., Chentsov A. G., Nekotorye svoistva monotonnykh operatorov i ikh primenenie v zadachakh marshrutizatsii, Dep. v VINITI 01.12.92, No 3409-V92, Uralsk. politekhn. in-t, Ekaterinburg, 1992, 49 pp.

[14] Maltsev A. P., Rolschikov V. E., Chentsov A. G., “K voprosu ob optimalnoi marshrutizatsii v usloviyakh neadditivnoi funktsii zatrat”, Marshrutno-raspredelitelnye zadachi, UGTU-UPI, Ekaterinburg, 1995, 54–63

[15] Subbotin A. I., Chentsov A. G., “Iteratsionnaya protsedura dlya postroeniya minimaksnykh i vyazkostnykh reshenii uravnenii Gamiltona–Yakobi”, Dokl. RAN, 348:6 (1996), 736–739 | MR | Zbl

[16] Neve Zh., Matematicheskie osnovy teorii veroyatnostei, Mir, M., 1969, 309 pp. | MR | Zbl

[17] Chentsov A. G., Konechno-additivnye mery i relaksatsii ekstremalnykh zadach, Nauka, Ekaterinburg, 1993, 232 pp.

[18] Chentsov A. G., Asymptotic attainability, Kluwer Acad. Publ., Dordrecht–Boston–London, 1997, 322 pp. | MR | Zbl

[19] Danford N., Shvarts Dzh. T., Lineinye operatory. Obschaya teoriya, Ch. 1, In. lit., M., 1962, 895 pp.

[20] Kelli Dzh. L., Obschaya topologiya, Nauka, M., 1981, 431 pp. | MR

[21] Engelking R., Obschaya topologiya, Mir, M., 1986, 751 pp. | MR

[22] Aleksandryan R. A., Mirzakhanyan E. A., Obschaya topologiya, Vyssh. shkola, M., 1979, 336 pp. | Zbl

[23] Kuratovskii K., Topologiya, T. I, Mir, M., 1966, 786 pp. | MR

[24] Varga Dzh., Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977, 622 pp. | MR

[25] Roxin E., “Axiomatic approach in differential games”, J. Optimiz. Theory Appl., 3:3 (1969), 153–163 | DOI | MR | Zbl

[26] Krasovskii N. N., Chentsov A. G., “On the designing of differential games, I”, Probl. Control Inform. Theory, 6:5–6 (1977), 381–395 | MR

[27] Krasovskii N. N., Chentsov A. G., “On the designing of differential games, II”, Probl. Control Inform. Theory, 9:1 (1979), 3–11 | MR

[28] Chentsov A. G., Selektory mnogoznachnykh kvazistrategii v differentsialnykh igrakh, Dep. v VINITI 26.09.78, No 3101-78, In-t matem. i mekhan. Uralsk. nauch. tsentra AN SSSR, Sverdlovsk, 1978, 21 pp.