Keywords: method of auxiliary models.
@article{TIMM_2013_19_1_a18,
author = {V. I. Maksimov},
title = {On the application of finite-dimensional controlled models in the problem of input reconstruction in a~linear delay system},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {196--204},
year = {2013},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a18/}
}
TY - JOUR AU - V. I. Maksimov TI - On the application of finite-dimensional controlled models in the problem of input reconstruction in a linear delay system JO - Trudy Instituta matematiki i mehaniki PY - 2013 SP - 196 EP - 204 VL - 19 IS - 1 UR - http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a18/ LA - ru ID - TIMM_2013_19_1_a18 ER -
%0 Journal Article %A V. I. Maksimov %T On the application of finite-dimensional controlled models in the problem of input reconstruction in a linear delay system %J Trudy Instituta matematiki i mehaniki %D 2013 %P 196-204 %V 19 %N 1 %U http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a18/ %G ru %F TIMM_2013_19_1_a18
V. I. Maksimov. On the application of finite-dimensional controlled models in the problem of input reconstruction in a linear delay system. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 196-204. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a18/
[1] Osipov Yu. S., Kryazhimskii A. V., Inverse problems for ordinary differential equations: Dynamical solutions, Gordon and Breach, Basel, 1995, 625 pp. | MR | Zbl
[2] Osipov Yu. S., Kryazhimskii A. V., Maksimov V. I., Metody dinamicheskogo vosstanovleniya vkhodov upravlyaemykh sistem, UrO RAN, Ekaterinburg, 2011, 292 pp.
[3] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974, 456 pp. | MR | Zbl
[4] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979, 285 pp. | MR
[5] Maksimov V. I., “Pozitsionnoe modelirovanie nekotorykh parametrov differentsialno-funktsionalnykh sistem”, Nekotorye metody pozitsionnogo i programmnogo upravleniya, Sb. nauch. tr., In-t matematiki i mekhaniki UNTs AN SSSR, Sverdlovsk, 1987, 84–106 | MR
[6] Osipov Yu. S., “On reconstruction of a parameter of dynamical system”, Proc. int. symp. “Functional-Differential Equations”, Kyoto, 1990, 309–317
[7] Maksimov V. I., “Metod funktsii Lyapunova v zadachakh rekonstruktsii vkhodov sistem s posledeistviem”, Sovremennaya matematika i ee prilozheniya, 26, 2005, 78–95
[8] Blizorukova M. S., “O modelirovanii vkhoda v sisteme s zapazdyvaniem”, Prikl. matematika i informatika, Sb. tr. fak-ta VMiK MGU im. M. V. Lomonosova, MAKS Press, M., 2000, 105–115
[9] Vasileva E. V., “Dinamicheskii metod nevyazki dlya differentsialnogo uravneniya s pamyatyu”, Problemy matematicheskoi fiziki, Sb. tr. fakulteta VMiK MGU im. M. V. Lomonosova, Dialog-MGU, M., 1998, 68–74
[10] Kadiyev A. M., Maksimov V. I., “Dynamical discrepancy method in an input reconstruction problem for a delay system”, Funct. Differ. Equ., 15:3–4 (2008), 219–237 | MR | Zbl
[11] Maksimov V., Pandolfi L., “On a dynamical identification of controls in nonlinear time-lag system”, IMA J. Math. Control Inform., 19:1–2 (2002), 173–184 | DOI | MR | Zbl
[12] Kryazhimskii A. V., Osipov Yu. S., “Differentsialno-raznostnaya igra sblizheniya s funktsionalnym tselevym mnozhestvom”, Prikl. matematika i mekhanika, 37:1 (1973), 3–13 | MR | Zbl
[13] Kryazhimskii A. V., Maksimov V. I., “Approksimatsiya lineinykh differentsialno-raznostnykh igr”, Prikl. matematika i mekhanika, 42:2 (1978), 202–209 | MR
[14] Maksimov V. I., “Approksimatsiya nelineinykh differentsialno-raznostnykh igr”, Tr. In-ta matematiki i mekhaniki, Sb. st., 30, Sverdlovsk, 1979, 49–65 | MR | Zbl
[15] Kryazhimskii A. V., “Differentsialno-raznostnaya igra ukloneniya ot funktsionalnoi tseli”, Izv. AN SSSR. Tekhn. kibernetika, 1973, no. 4, 71–79