Asymptotic representation of a~solution to a~singular perturbation linear time-optimal problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 67-79
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A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. An asymptotic expansion of the optimal time up to the second order of smallness is constructed and validated.
Keywords:
optimal control, time-optimal control problem, asymptotic expansion, singular perturbation problems, small parameter.
@article{TIMM_2012_18_2_a6,
author = {A. R. Danilin and O. O. Kovrizhnykh},
title = {Asymptotic representation of a~solution to a~singular perturbation linear time-optimal problem},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {67--79},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a6/}
}
TY - JOUR AU - A. R. Danilin AU - O. O. Kovrizhnykh TI - Asymptotic representation of a~solution to a~singular perturbation linear time-optimal problem JO - Trudy Instituta matematiki i mehaniki PY - 2012 SP - 67 EP - 79 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a6/ LA - ru ID - TIMM_2012_18_2_a6 ER -
%0 Journal Article %A A. R. Danilin %A O. O. Kovrizhnykh %T Asymptotic representation of a~solution to a~singular perturbation linear time-optimal problem %J Trudy Instituta matematiki i mehaniki %D 2012 %P 67-79 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a6/ %G ru %F TIMM_2012_18_2_a6
A. R. Danilin; O. O. Kovrizhnykh. Asymptotic representation of a~solution to a~singular perturbation linear time-optimal problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 67-79. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a6/