Interval optimal control problem in a Hilbert space
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 531-537
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An optimal control problem for a system involving an interval parameter is considered. The concepts of a universal optimal state and a universal optimal control are introduced. The existence and uniqueness of a universal solution to the interval optimal control problem is proved, and an algorithm for its determination is presented. The interval optimal control problem for a system described by the boundary value problem for a second-order ordinary differential equation is solved as an example.
@article{ZVMMF_2013_53_4_a3,
author = {Victoria Olegovna O},
title = {Interval optimal control problem in a {Hilbert} space},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {531--537},
publisher = {mathdoc},
volume = {53},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a3/}
}
TY - JOUR AU - Victoria Olegovna O TI - Interval optimal control problem in a Hilbert space JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 531 EP - 537 VL - 53 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a3/ LA - ru ID - ZVMMF_2013_53_4_a3 ER -
Victoria Olegovna O. Interval optimal control problem in a Hilbert space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 531-537. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a3/