On optimality conditions for the guaranteed result in control problems for time-delay systems
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 158-169
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For control problems under disturbance of dynamical systems described by differential equations with discrete and distributed time delays and with initial data satisfying the Lipschitz property, the corresponding Lipschitzness of the optimal guaranteed result functional is established and inequalities for its directional derivatives are obtained.
Keywords:
optimal control, differential games, time-delay systems.
@article{TIMM_2009_15_3_a11,
author = {N. Yu. Lukoyanov},
title = {On optimality conditions for the guaranteed result in control problems for time-delay systems},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {158--169},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a11/}
}
TY - JOUR AU - N. Yu. Lukoyanov TI - On optimality conditions for the guaranteed result in control problems for time-delay systems JO - Trudy Instituta matematiki i mehaniki PY - 2009 SP - 158 EP - 169 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a11/ LA - ru ID - TIMM_2009_15_3_a11 ER -
%0 Journal Article %A N. Yu. Lukoyanov %T On optimality conditions for the guaranteed result in control problems for time-delay systems %J Trudy Instituta matematiki i mehaniki %D 2009 %P 158-169 %V 15 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a11/ %G ru %F TIMM_2009_15_3_a11
N. Yu. Lukoyanov. On optimality conditions for the guaranteed result in control problems for time-delay systems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 158-169. http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a11/