Mots-clés : classification
@article{IIGUM_2023_46_a1,
author = {Natalia M. Dmitruk and Maria A. Hatavets},
title = {A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {19--34},
year = {2023},
volume = {46},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2023_46_a1/}
}
TY - JOUR AU - Natalia M. Dmitruk AU - Maria A. Hatavets TI - A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2023 SP - 19 EP - 34 VL - 46 UR - http://geodesic.mathdoc.fr/item/IIGUM_2023_46_a1/ LA - ru ID - IIGUM_2023_46_a1 ER -
%0 Journal Article %A Natalia M. Dmitruk %A Maria A. Hatavets %T A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems %J The Bulletin of Irkutsk State University. Series Mathematics %D 2023 %P 19-34 %V 46 %U http://geodesic.mathdoc.fr/item/IIGUM_2023_46_a1/ %G ru %F IIGUM_2023_46_a1
Natalia M. Dmitruk; Maria A. Hatavets. A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems. The Bulletin of Irkutsk State University. Series Mathematics, Tome 46 (2023), pp. 19-34. http://geodesic.mathdoc.fr/item/IIGUM_2023_46_a1/
[1] Balashevich N.V., Gabasov R., Kirillova F.M., “Numerical methods for open-loop and closed-loop optimization of linear control systems”, Comp. math. and math. physics, 40:6 (2000), 799–819 | MR | Zbl
[2] V'jugin V., Matematicheskie osnovy teorii mashinnogo obuchenija i prognozirovanija, MCCME Publ, M., 2013, 390 pp.
[3] Gabasov R., Dmitruk N.M., Kirillova F.M., “Optimization of the multidimensional control systems with parallelepiped constraints”, Automation and Remote Control, 63 (2002), 345–366 | DOI | MR | MR | Zbl
[4] Kirillova F.M., Dmitruk N.M., Gabasov R., “Sintez optimal'nyh sistem — optimal'noe upravlenie v real'nom vremeni”, Dinamika sistem i processy upravlenija, Ekaterinburg, 2015, 208–219
[5] Srochko V.A., Aksenyushkina E.V., Antonik V.G., “Resolution of a Linear-quadratic Optimal Control Problem Based on Finite-dimensional Models”, The Bulletin of Irkutsk State University. Series Mathematics, 37 (2021), 3–16 (in Russian) | DOI | MR | Zbl
[6] Srochko V.A., Aksenyushkina E.V., “Parametric Regularization of a Linearquadratic Problem on a Set of Piecewise Linear Controls”, The Bulletin of Irkutsk State University. Series Mathematics, 41 (2022), 57–68 (in Russian) | DOI | MR | Zbl
[7] Chernikov S.N., “Linejnye neravenstva”, Itogi nauki i tehniki, M., 1968, 137–187
[8] Borrelli F., Constrained optimal control of linear and hybrid systems, Springer, 2003 | DOI | MR | Zbl
[9] M. Hertneck et al., “Learning an approximate model predictive controller with guarantees”, IEEE Control Systems Letters, 2:3 (2018), 543–548 | DOI | MR
[10] Hou Z. S., Wang Z., “From model-based control to data-driven control: Survey, classification and perspective”, Information Sciences, 235 (2013), 3–35 | DOI | MR | Zbl