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
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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.
@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
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/