Optimality conditions of the maximum principle type in bilinear control problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 12, pp. 2054-2064
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The optimization of a bilinear functional related to a linear state system with a modular control constraint is considered. Exact formulas for the functional increment are used to obtain sufficient conditions for the optimality of extremal controls that supplement the maximum principle. These conditions are represented in the form of inequalities and equalities for one-variable functions on a time interval. The optimization of a quadratic functional with the help of a matrix conjugate function is reduced to the bilinear case.
@article{ZVMMF_2016_56_12_a5,
author = {V. G. Antonik and V. A. Srochko},
title = {Optimality conditions of the maximum principle type in bilinear control problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2054--2064},
publisher = {mathdoc},
volume = {56},
number = {12},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a5/}
}
TY - JOUR AU - V. G. Antonik AU - V. A. Srochko TI - Optimality conditions of the maximum principle type in bilinear control problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 2054 EP - 2064 VL - 56 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a5/ LA - ru ID - ZVMMF_2016_56_12_a5 ER -
%0 Journal Article %A V. G. Antonik %A V. A. Srochko %T Optimality conditions of the maximum principle type in bilinear control problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 2054-2064 %V 56 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a5/ %G ru %F ZVMMF_2016_56_12_a5
V. G. Antonik; V. A. Srochko. Optimality conditions of the maximum principle type in bilinear control problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 12, pp. 2054-2064. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a5/