A method for the asymptotic solution of singularly perturbed linear terminal control problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 366-378
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Terminal control of a singularly perturbed linear system, with constraints on the right endpoint of the trajectory is considered. The asymptotic behaviour of the solution is analysed and on that basis an algorithm is proposed for the asymptotic allocation of optimal control switching points. A computational procedure is outlined which utilizes the asymptotic approximations to obtain an exact solution for any given value of the small parameter.
@article{ZVMMF_1990_30_3_a2,
author = {A. I. Kalinin},
title = {A~method for the asymptotic solution of singularly perturbed linear terminal control problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {366--378},
publisher = {mathdoc},
volume = {30},
number = {3},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a2/}
}
TY - JOUR AU - A. I. Kalinin TI - A method for the asymptotic solution of singularly perturbed linear terminal control problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 366 EP - 378 VL - 30 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a2/ LA - ru ID - ZVMMF_1990_30_3_a2 ER -
%0 Journal Article %A A. I. Kalinin %T A method for the asymptotic solution of singularly perturbed linear terminal control problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 366-378 %V 30 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a2/ %G ru %F ZVMMF_1990_30_3_a2
A. I. Kalinin. A method for the asymptotic solution of singularly perturbed linear terminal control problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 3, pp. 366-378. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_3_a2/