On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 20-29
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A efficient method is introduced for solving the problems of optimal control of thermal processes with phase transitions. The following statement is formulated and proved: the time of computing the components of the gradient of the objective function by means of the proposed method does not exceed the time of computing two values of the function.
Keywords:
optimal control, fast automatic differentiation, Stefan problem.
Mots-clés : gradient, adjoint problem
Mots-clés : gradient, adjoint problem
@article{TIMM_2015_21_4_a2,
author = {A. F. Albu and V. I. Zubov},
title = {On the efficiency of solving optimal control problems by means of {Fast} {Automatic} {Differentiation} technique},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {20--29},
publisher = {mathdoc},
volume = {21},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a2/}
}
TY - JOUR AU - A. F. Albu AU - V. I. Zubov TI - On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique JO - Trudy Instituta matematiki i mehaniki PY - 2015 SP - 20 EP - 29 VL - 21 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a2/ LA - ru ID - TIMM_2015_21_4_a2 ER -
%0 Journal Article %A A. F. Albu %A V. I. Zubov %T On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique %J Trudy Instituta matematiki i mehaniki %D 2015 %P 20-29 %V 21 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a2/ %G ru %F TIMM_2015_21_4_a2
A. F. Albu; V. I. Zubov. On the efficiency of solving optimal control problems by means of Fast Automatic Differentiation technique. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 20-29. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a2/