Pleiades Publishing
Doklady Mathematics
,  volume 98 ,  issue 3 ,  pages 603-606

Application of the Variational Method for Solving Inverse Problems of Optimal Control

Publication type: Journal Article
Publication date: 2018-11-01
Pleiades Publishing
scimago Q2
wos Q3
SJR: 0.389
CiteScore: 1.1
Impact factor: 0.6
ISSN: 10645624, 15318362
General Mathematics
Abstract
For optimal control problems, a new approach based on the search for an extremum of a special functional is proposed. The differential problem is reformulated as an ill-posed variational inverse problem. Taking into account ill-posedness leads to a stable numerical minimization procedure. The method developed has a high degree of generality, since it allows one to find special controls. Several examples of interest concerning the solution of classical optimal control problems are considered.
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Ternovskii V. V., Khapaev () M. M., Khapaeva T. M. Application of the Variational Method for Solving Inverse Problems of Optimal Control // Doklady Mathematics. 2018. Vol. 98. No. 3. pp. 603-606.
GOST all authors (up to 50) Copy
Ternovskii V. V., Khapaev () M. M., Khapaeva T. M. Application of the Variational Method for Solving Inverse Problems of Optimal Control // Doklady Mathematics. 2018. Vol. 98. No. 3. pp. 603-606.
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RIS Copy
TY - JOUR
DO - 10.1134/S1064562418070219
UR - https://doi.org/10.1134/S1064562418070219
TI - Application of the Variational Method for Solving Inverse Problems of Optimal Control
T2 - Doklady Mathematics
AU - Ternovskii, V V
AU - Khapaev (), M M
AU - Khapaeva, T M
PY - 2018
DA - 2018/11/01
PB - Pleiades Publishing
SP - 603-606
IS - 3
VL - 98
SN - 1064-5624
SN - 1531-8362
ER -
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BibTex (up to 50 authors) Copy
@article{2018_Ternovskii,
author = {V V Ternovskii and M M Khapaev () and T M Khapaeva},
title = {Application of the Variational Method for Solving Inverse Problems of Optimal Control},
journal = {Doklady Mathematics},
year = {2018},
volume = {98},
publisher = {Pleiades Publishing},
month = {nov},
url = {https://doi.org/10.1134/S1064562418070219},
number = {3},
pages = {603--606},
doi = {10.1134/S1064562418070219}
}
MLA
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Ternovskii, V. V., et al. “Application of the Variational Method for Solving Inverse Problems of Optimal Control.” Doklady Mathematics, vol. 98, no. 3, Nov. 2018, pp. 603-606. https://doi.org/10.1134/S1064562418070219.