Error estimate for approximations of an optimal stabilizing control in a~delay system
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 38-47
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The method of averaging approximations is used for solving the problem of optimal stabilization of a delay system of differential equations. The exact solution is approximated by solutions of optimal stabilization problems for systems of ordinary differential equations. The rate of convergence of approximating controls to an optimal control is found.
Keywords:
delay differential equations, optimal stabilization, functional state space, finite-dimensional approximations.
@article{TIMM_2012_18_2_a3,
author = {D. S. Bykov and Yu. F. Dolgii},
title = {Error estimate for approximations of an optimal stabilizing control in a~delay system},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {38--47},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a3/}
}
TY - JOUR AU - D. S. Bykov AU - Yu. F. Dolgii TI - Error estimate for approximations of an optimal stabilizing control in a~delay system JO - Trudy Instituta matematiki i mehaniki PY - 2012 SP - 38 EP - 47 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a3/ LA - ru ID - TIMM_2012_18_2_a3 ER -
%0 Journal Article %A D. S. Bykov %A Yu. F. Dolgii %T Error estimate for approximations of an optimal stabilizing control in a~delay system %J Trudy Instituta matematiki i mehaniki %D 2012 %P 38-47 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a3/ %G ru %F TIMM_2012_18_2_a3
D. S. Bykov; Yu. F. Dolgii. Error estimate for approximations of an optimal stabilizing control in a~delay system. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 2, pp. 38-47. http://geodesic.mathdoc.fr/item/TIMM_2012_18_2_a3/