Geodesic
Existance of Optimal Control in One Regularited Problem with Phase Distriction
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 2, pp. 71-84 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper there are considered the theorem of existing solution of system of differential equations that is the mathematical model of chemical reactor. There are carrying out normalization of functional and proving the theorem of existence of optimal controller in normalization problem.
Keywords: optimal control, chemical reactor, functional, differential equations.
Mots-clés : existence solution 
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K. S. Musabekov. Existance of Optimal Control in One Regularited Problem with Phase Distriction. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 2, pp. 71-84. http://geodesic.mathdoc.fr/item/VNGU_2010_10_2_a6/

[1] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V. i dr., Matematicheskaya teoriya optimalnykh protsessov, Nauka, M., 1969

[2] Plotnikov V. I., “Neobkhodimye i dostatochnye usloviya optimalnosti i usloviya edinstvennosti optimiziruyuschikh funktsii dlya upravlyaemykh sistem obschego vida”, Izv. AN SSSR. Ser. mat., 36:6 (1972), 652–679 | MR | Zbl

[3] Lions Zh. L., Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972 | MR

[4] Egorov A. I., Optimalnoe upravlenie teplovymi i diffuzionnymi protsessami, Nauka, M., 1978 | MR

[5] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR

[6] Fursikov A. V., Optimalnoe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya, Nauchnaya kniga, Novosibirsk, 1999

[7] Bellman R., Dinamicheskoe programmirovanie, Izd-vo inostr. lit., M., 1960 | MR

[8] Krylov I. F., Chernousko F. L., “O metode posledovatelnykh priblizhenii dlya resheniya zadach optimalnogo upravleniya”, Zhurn. vych. mat. i mat. fiziki, 2:6 (1962), 1132–1139 | MR | Zbl

[9] Lyubushin A. A., Chernousko F. L., “Metod posledovatelnykh priblizhenii dlya rascheta optimalnogo upravleniya”, Izv. AN SSSR. Tekhn. kibern., 1983, no. 2, 147–159 | Zbl

[10] Lukyanov A. T., Serovaiskii S. Ya., “Metod posledovatelnykh priblizhenii v zadache optimalnogo upravleniya odnoi nelineinoi parabolicheskoi sistemoi”, Zhurn. vych. mat. i mat. fiziki, 24:11 (1984), 1638–1648 | MR

[11] Musabekov K. S., “Ob odnom metode resheniya zadachi optimalnogo upravleniya protsessom v khimicheskom reaktore”, Matematicheskie modeli upravleniya, Upravlyaemye sistemy, 28, Novosibirsk, 1988, 21–33 | MR | Zbl

[12] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967 | MR

[13] Belonosov V. S., Zelenyak T. I., Nelokalnye problemy v teorii nelineinykh parabolicheskikh uravnenii, Novosibirsk, 1975

[14] Musabekov K. S., “Teoremy suschestvovaniya resheniya v odnoi zadache optimalnogo upravleniya khimicheskim reaktorom”, Upravlyaemye protsessy i optimizatsiya, Upravlyaemye sistemy, 22, Novosibirsk, 1982, 30–50 | MR | Zbl

[15] Lerei Zh., Shauder Yu., “Topologiya i funktsionalnye uravneniya”, Uspekhi mat. nauk, 1:3–4 (1946), 71–95 | MR

[16] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[17] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979 | MR

[18] Georgakis C., Aris R., Amundson N. R., “Studies in the Control of Tubular Reactors”, Chemical Engineering Sience, 32:11 (1977), 1359–1387 | DOI