Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2115-2125
Voir la notice de l'article provenant de la source Math-Net.Ru
The optimization of a transient process in a linear singularly perturbed system is considered. The goal is to find a (multidimensional) control of minimal intensity. An algorithm for constructing asymptotic approximations to the solution of the problem is proposed. The main advantage of the algorithm is that the original problem decomposes into optimal control problems of lower dimension.
@article{ZVMMF_2011_51_12_a0,
author = {A. I. Kalinin},
title = {Asymptotic solution method for the control of the minimal force for a~linear singularly perturbed system},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2115--2125},
publisher = {mathdoc},
volume = {51},
number = {12},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a0/}
}
TY - JOUR AU - A. I. Kalinin TI - Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 2115 EP - 2125 VL - 51 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a0/ LA - ru ID - ZVMMF_2011_51_12_a0 ER -
%0 Journal Article %A A. I. Kalinin %T Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 2115-2125 %V 51 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a0/ %G ru %F ZVMMF_2011_51_12_a0
A. I. Kalinin. Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2115-2125. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a0/