The asymptotics of the optimal value of the performance functional in a~linear optimal control problem in the regular case
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 55-65
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An optimal control problem is investigated for a linear system with fast and slow variables, a convex terminal performance functional depending on the slow variables, and smooth geometric constraints on the control. Sufficient regularity conditions are presented for the asymptotics of a solution of this problem, and a complete asymptotic expansion of the optimal value of the performance functional in powers of a small parameter is constructed.
@article{TIMM_2007_13_2_a4,
author = {A. R. Danilin and Yu. V. Parysheva},
title = {The asymptotics of the optimal value of the performance functional in a~linear optimal control problem in the regular case},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {55--65},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a4/}
}
TY - JOUR AU - A. R. Danilin AU - Yu. V. Parysheva TI - The asymptotics of the optimal value of the performance functional in a~linear optimal control problem in the regular case JO - Trudy Instituta matematiki i mehaniki PY - 2007 SP - 55 EP - 65 VL - 13 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a4/ LA - ru ID - TIMM_2007_13_2_a4 ER -
%0 Journal Article %A A. R. Danilin %A Yu. V. Parysheva %T The asymptotics of the optimal value of the performance functional in a~linear optimal control problem in the regular case %J Trudy Instituta matematiki i mehaniki %D 2007 %P 55-65 %V 13 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a4/ %G ru %F TIMM_2007_13_2_a4
A. R. Danilin; Yu. V. Parysheva. The asymptotics of the optimal value of the performance functional in a~linear optimal control problem in the regular case. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 55-65. http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a4/