Moscow University Computational Mathematics and Cybernetics
,  volume 34 ,  issue 2 ,  pages 97-99

Solution of optimal control problems by a variational method

Publication type: Journal Article
Publication date: 2010-05-27
SJR: —
CiteScore: —
Impact factor: —
ISSN: 02786419, 19348428
Computational Mathematics
Control and Optimization
Human-Computer Interaction
Abstract
An algorithm for numerically solving optimal control problems by methods applied to ill-posed problems is discussed. The stable algorithms for solving such problems on compact sets developed by Academician A.N. Tikhonov in the twentieth century can be applied to problems of optimal control. The special feature of optimal control problems is the discontinuity of a control function. This difficulty is overcome by introducing a moving computational grid. The step size of the grid is determined by solving the speed problem.

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Ternovskii V. V., Khapaev () M. M. Solution of optimal control problems by a variational method // Moscow University Computational Mathematics and Cybernetics. 2010. Vol. 34. No. 2. pp. 97-99.
GOST all authors (up to 50) Copy
Ternovskii V. V., Khapaev () M. M. Solution of optimal control problems by a variational method // Moscow University Computational Mathematics and Cybernetics. 2010. Vol. 34. No. 2. pp. 97-99.
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RIS Copy
TY - JOUR
DO - 10.3103/S0278641910020081
UR - https://doi.org/10.3103/S0278641910020081
TI - Solution of optimal control problems by a variational method
T2 - Moscow University Computational Mathematics and Cybernetics
AU - Ternovskii, V V
AU - Khapaev (), M M
PY - 2010
DA - 2010/05/27
PB - Allerton Press
SP - 97-99
IS - 2
VL - 34
SN - 0278-6419
SN - 1934-8428
ER -
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@article{2010_Ternovskii,
author = {V V Ternovskii and M M Khapaev ()},
title = {Solution of optimal control problems by a variational method},
journal = {Moscow University Computational Mathematics and Cybernetics},
year = {2010},
volume = {34},
publisher = {Allerton Press},
month = {may},
url = {https://doi.org/10.3103/S0278641910020081},
number = {2},
pages = {97--99},
doi = {10.3103/S0278641910020081}
}
MLA
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MLA Copy
Ternovskii, V. V., and M M Khapaev (). “Solution of optimal control problems by a variational method.” Moscow University Computational Mathematics and Cybernetics, vol. 34, no. 2, May. 2010, pp. 97-99. https://doi.org/10.3103/S0278641910020081.