@article{ISU_2012_12_4_a0,
author = {I. V. Grebennikova},
title = {The problem of optimal control for singularly perturbed system with delay with integral quadratic constraints},
journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
pages = {3--11},
year = {2012},
volume = {12},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a0/}
}
TY - JOUR AU - I. V. Grebennikova TI - The problem of optimal control for singularly perturbed system with delay with integral quadratic constraints JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2012 SP - 3 EP - 11 VL - 12 IS - 4 UR - http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a0/ LA - ru ID - ISU_2012_12_4_a0 ER -
%0 Journal Article %A I. V. Grebennikova %T The problem of optimal control for singularly perturbed system with delay with integral quadratic constraints %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2012 %P 3-11 %V 12 %N 4 %U http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a0/ %G ru %F ISU_2012_12_4_a0
I. V. Grebennikova. The problem of optimal control for singularly perturbed system with delay with integral quadratic constraints. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 3-11. http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a0/
[1] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968, 475 pp. | MR
[2] Kurzhanskii A. B., Upravlenie i nablyudenie v usloviyakh neopredelennosti, Nauka, M., 1977, 392 pp. | MR | Zbl
[3] Kremlëv A. G., “Asimptoticheskie svoistva ansamblya traektorii singulyarno vozmuschennoi sistemy v zadache optimalnogo upravleniya”, Avtomatika i telemekhanika, 1993, no. 9, 61–78 | MR | Zbl
[4] Grebennikova I. V., “Ob iteratsionnom metode postroeniya optimalnogo upravleniya singulyarno vozmuschennymi sistemami s zapazdyvaniem”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 9:3 (2009), 14–22
[5] Grebennikova I. V., “Approksimatsiya resheniya v minimaksnoi zadache upravleniya singulyarno vozmuschennoi sistemoi s zapazdyvaniem”, Izv. vuzov. Matematika, 2011, no. 10, 28–39 | MR | Zbl
[6] Grebennikova I. V., Kremlëv A. G., “Ob iteratsionnom metode postroeniya optimalnogo upravleniya singulyarno vozmuschennymi sistemami s zapazdyvaniem pri kvadratichnykh ogranicheniyakh”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 11:3, ch. 1 (2011), 8–15
[7] Kremlëv A. G., Grebennikova I. V., “Ob asimptotike ansamblya traektorii upravlyaemoi singulyarno vozmuschennoi sistemy s zapazdyvaniem”, Novosti nauchnoi mysli – 2006, Materialy nauch.-prakt. konf., v. 4, Dnepropetrovsk, 2006, 65–69
[8] Kremlëv A. G., “Iteratsionnyi metod resheniya zadach optimalnogo upravleniya singulyarno vozmuschennymi sistemami pri kvadratichnykh ogranicheniyakh”, Zhurn. vychislitelnoi mat. i mat. fiziki, 34:11 (1994), 1597–1616 | MR | Zbl
[9] Rokafellar R., Vypuklyi analiz, Mir, M., 1973, 492 pp.
[10] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973, 192 pp. | MR | Zbl
[11] Kirillova F. M., “Otnositelnaya upravlyaemost lineinykh dinamicheskikh sistem s zapazdyvaniem”, Doklady AN SSSR, 174:6 (1967), 1260–1263 | MR | Zbl
[12] Natanson I. P., Teoriya funktsii veschestvennoi peremennoi, Nauka, M., 1974, 468 pp. | MR