Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2166-2177
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A. R. Danilin. Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2166-2177. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a5/
@article{ZVMMF_2006_46_12_a5,
author = {A. R. Danilin},
title = {Asymptotic behavior of the optimal cost functional for a~rapidly stabilizing indirect control in the singular case},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2166--2177},
year = {2006},
volume = {46},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a5/}
}
TY - JOUR
AU - A. R. Danilin
TI - Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2006
SP - 2166
EP - 2177
VL - 46
IS - 12
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a5/
LA - ru
ID - ZVMMF_2006_46_12_a5
ER -
%0 Journal Article
%A A. R. Danilin
%T Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 2166-2177
%V 46
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a5/
%G ru
%F ZVMMF_2006_46_12_a5
The optimal control problem for a linear system with fast and slow variables in the form of indirect control with a convex terminal cost functional and a smooth geometric constraint on the control is studied. An asymptotic expansion of the cost functional up to any power of a small parameter is constructed.
