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@article{IVM_2011_10_a3, author = {I. V. Grebennikova}, title = {Solution approximation in a~minimax control problem for a~singularly perturbed system with delay}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {28--39}, publisher = {mathdoc}, number = {10}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2011_10_a3/} }
TY - JOUR AU - I. V. Grebennikova TI - Solution approximation in a~minimax control problem for a~singularly perturbed system with delay JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 28 EP - 39 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_10_a3/ LA - ru ID - IVM_2011_10_a3 ER -
I. V. Grebennikova. Solution approximation in a~minimax control problem for a~singularly perturbed system with delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 28-39. http://geodesic.mathdoc.fr/item/IVM_2011_10_a3/
[1] Dmitriev M. G., Kurina G. A., “Singulyarnye vozmuscheniya v zadachakh upravleniya”, Avtomatika i telemekhanika, 2006, no. 1, 3–51 | MR | Zbl
[2] Kokotovic P. V., Khalil H. K., O'Reilly J., Singular perturbation methods in control: analysis and design, SIAM, 1999 | MR | Zbl
[3] Kalinin A. I., Asimptoticheskie metody optimizatsii vozmuschennykh dinamicheskikh sistem, Ekoperspektiva, Minsk, 2000
[4] Kolmanovskii V. B., Nosov V. R., Ustoichivost i periodicheskie rezhimy reguliruemykh sistem s posledeistviem, Nauka, M., 1981 | MR
[5] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968 | MR
[6] Kurzhanskii A. B., Upravlenie i nablyudenie v usloviyakh neopredelennosti, Nauka, M., 1977 | MR | Zbl
[7] Grebennikova I. V., “Ob iteratsionnom metode postroeniya optimalnogo upravleniya singulyarno vozmuschennymi sistemami s zapazdyvaniem”, Izv. Saratovsk. un-ta. Ser. Matem. Mekhan. Informatika, 9:3 (2009), 14–22 | MR
[8] Kremlev A. G., “Asimptoticheskie svoistva ansamblya traektorii singulyarno vozmuschennoi sistemy v zadache optimalnogo upravleniya”, Avtomatika i telemekhanika, 1993, no. 9, 61–78 | MR | Zbl
[9] Kremlev A. G., “Ob optimalnom upravlenii ansamblem traektorii singulyarno vozmuschennoi kvazilineinoi sistemy”, Differents. uravneniya, 30:11 (1994), 1892–1904 | MR | Zbl
[10] Kremlev A. G., Grebennikova I. V., “Ob asimptotike optimalnogo upravleniya singulyarno vozmuschennoi sistemoi s zapazdyvaniem”, Matematika. Informatsionnye tekhnologii. Obrazovanie, Materialy nauchno-prakt. konf., Izd-vo GOU OGU, Orenburg, 2006, 36–38
[11] Grebennikova I. V., Kremlev A. G., “O nachalnoi approksimatsii minimaksnoi zadachi upravleniya singulyarno vozmuschennoi sistemoi s zapazdyvaniem”, Kachestvo nauki – kachestvo zhizni, Materialy nauchno-prakt. konf., Izd-vo TGTU, Tambov, 2007, 89–92
[12] Rokafellar R., Vypuklyi analiz, Mir, M., 1973
[13] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR
[14] Kirillova F. M., Churakova S. V., “Otnositelnaya upravlyaemost lineinykh dinamicheskikh sistem s zapazdyvaniem”, DAN SSSR, 174:6 (1967), 1260–1263 | MR | Zbl
[15] Kremlev A. G., Grebennikova I. V., “Ob asimptotike ansamblya traektorii upravlyaemoi singulyarno vozmuschennoi sistemy s zapazdyvaniem”, Novosti nauchnoi mysli–2006, Materialy nauchno-prakt. konf., Izd-vo Nauka i obrazovanie, Dnepropetrovsk, 2006, 65–69
[16] Natanson I. P., Teoriya funktsii veschestvennoi peremennoi, Nauka, M., 1974 | MR