Voir la notice de l'article provenant de la source Math-Net.Ru
@article{CMFD_2022_68_3_a5, author = {E. P. Kubyshkin}, title = {Optimal control of the behavior of solutions to an initial-boundary value problem arising in the mechanics of discrete-continuum systems}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {488--508}, publisher = {mathdoc}, volume = {68}, number = {3}, year = {2022}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2022_68_3_a5/} }
TY - JOUR AU - E. P. Kubyshkin TI - Optimal control of the behavior of solutions to an initial-boundary value problem arising in the mechanics of discrete-continuum systems JO - Contemporary Mathematics. Fundamental Directions PY - 2022 SP - 488 EP - 508 VL - 68 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2022_68_3_a5/ LA - ru ID - CMFD_2022_68_3_a5 ER -
%0 Journal Article %A E. P. Kubyshkin %T Optimal control of the behavior of solutions to an initial-boundary value problem arising in the mechanics of discrete-continuum systems %J Contemporary Mathematics. Fundamental Directions %D 2022 %P 488-508 %V 68 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2022_68_3_a5/ %G ru %F CMFD_2022_68_3_a5
E. P. Kubyshkin. Optimal control of the behavior of solutions to an initial-boundary value problem arising in the mechanics of discrete-continuum systems. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 68 (2022) no. 3, pp. 488-508. http://geodesic.mathdoc.fr/item/CMFD_2022_68_3_a5/
[1] Andreichenko D. K., Andreichenko K. P., “K teorii stabilizatsii sputnikov s uprugimi sterzhnyami”, Izv. RAN. Teor. i sist. uprav., 2004, no. 6, 150–163 | MR | Zbl
[2] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, Nauka, M., 1966 | MR
[3] Berbyuk V. E., Dinamika i optimizatsiya robototekhnicheskikh sistem, Naukova dumka, Kiev, 1989
[4] Voititskii V. I., Zlobina M. Yu., Kubyshkin E. P., “O spektralnoi zadache, voznikayuschei v mekhanike manipulyatsionnykh robotov”, Model. i analiz inf. sist., 16:3 (2009), 22–28
[5] Garnikhina M. Yu., Kubyshkin E. P., “Optimalnoe upravlenie povorotom tverdogo tela s nasledstvenno vyazkouprugim sterzhnem”, Izv. RAN. Mekh. tv. tela, 2006, no. 5, 29–41
[6] Zelikin M. I., Manita L. A., “Nakoplenie pereklyuchenii upravleniya v zadachakh s raspredelennymi parametrami”, Sovrem. mat. Fundam. Napravl., 19, 2006, 78–113
[7] Zlochevskii S. I., Kubyshkin E. P., “O vliyanii kolebanii uprugikh elementov s raspredelennymi massami na orientatsiyu sputnika”, Kosm. issled., 25:4 (1987), 537–544
[8] Zlochevskii S. I., Kubyshkin E. P., “O stabilizatsii sputnika s gibkimi sterzhnyami”, Kosm. issled., 27:5 (1989), 643–651 | MR
[9] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nev. dialekt, SPb., 2004 | MR
[10] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968
[11] Krein M. G., Nudelman A. A., Problema momentov Markova i ekstremalnye zadachi, Nauka, M., 1973 | MR
[12] Kubyshkin E. P., “Optimalnoe upravlenie povorotom tverdogo tela s gibkim sterzhnem”, Prikl. mat. mekh., 56:2 (1992), 240–249 | MR | Zbl
[13] Kubyshkin E. P., “Optimalnoe upravlenie povorotom sistemy dvukh tel, soedinennykh uprugim sterzhnem”, Prikl. mat. mekh., 78:5 (2014), 656–670 | MR | Zbl
[14] Kubyshkin E. P., Solodovnikov P. A., “Ob odnom algoritme optimalnogo upravleniya povorotom tverdogo diska s uprugim sterzhnem”, Dinam. sist., 6:2 (2016), 95–108
[15] Kubyshkin E. P., Tryakhov M. S., “Optimalnoe upravlenie povedeniem reshenii nachalno-kraevoi zadachi, modeliruyuschei vraschenie tverdogo tela s uprugim sterzhnem”, Model. i analiz inf. sist., 21:5 (2014), 72–92
[16] Kubyshkin E. P., Khrebtyugova O. A., “Obobschennoe reshenie odnoi nachalno-kraevoi zadachi, voznikayuschei v mekhanike diskretno-kontinualnykh sistem”, Model. i analiz inf. sist., 2012, no. 1, 84–96
[17] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR
[18] Mikhlin S. G., Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1970 | MR
[19] Russkikh S. V., “Upravlyaemyi povorot kosmicheskogo apparata s uprugimi panelyami solnechnykh batarei”, Izv. vuzov. Ser. Mashinostr., 12 (2016), 97–105
[20] Chelomei V. N. (gl. red.) i dr., Vibratsii v tekhnike. Spravochnik, v. 1, Mashinostroenie, M., 1978
[21] Chernousko F. L., Bolotnik N. N., Gradetskii V. G., Manipulyatsionnye roboty, Nauka, M., 1989 | MR
[22] Gugat M., “Controllability of a slowly rotating Timoshenko beam”, ESAIM Control Optim. Calc. Var., 6 (2001), 333–360 | DOI | MR | Zbl
[23] Krabs W., Sklyar G. M., “On the stabilizability of a slowly rotating Timoshenko beam”, Z. Anal. Anwend., 19:1 (2000), 131–145 | DOI | MR | Zbl
[24] Krabs W., Sklyar G. M., Wozniak J., “On the set of reachable states in the problem of controllability of rotating Timoshenko beams”, J. Anal. Appl., 22:1 (2003), 215–228 | MR | Zbl
[25] Sakawa Y., Ito R., Fujii N., “Optimal control of rotation of a flexible arm”, Control Theory for Distributed Parameter Systems and Applications, 1983, 175–187 | DOI | MR | Zbl