Sufficient optimality conditions for a class of nonconvex control problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1670-1680
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The optimization of a bilinear-quadratic functional with respect to a linear phase system with a modulus control constraint is considered. Special representations of the cost functional are used to obtain sufficient optimality conditions for certain classes of extremal controls in the form of sign definiteness inequalities for functions of one and two variables. These conditions are as easy to implement numerically as verifying controls for extremeness.
@article{ZVMMF_2015_55_10_a5,
author = {E. V. Aksenyushkina and V. A. Srochko},
title = {Sufficient optimality conditions for a class of nonconvex control problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1670--1680},
publisher = {mathdoc},
volume = {55},
number = {10},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a5/}
}
TY - JOUR AU - E. V. Aksenyushkina AU - V. A. Srochko TI - Sufficient optimality conditions for a class of nonconvex control problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 1670 EP - 1680 VL - 55 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a5/ LA - ru ID - ZVMMF_2015_55_10_a5 ER -
%0 Journal Article %A E. V. Aksenyushkina %A V. A. Srochko %T Sufficient optimality conditions for a class of nonconvex control problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 1670-1680 %V 55 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a5/ %G ru %F ZVMMF_2015_55_10_a5
E. V. Aksenyushkina; V. A. Srochko. Sufficient optimality conditions for a class of nonconvex control problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 10, pp. 1670-1680. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_10_a5/