A problem of guaranteed closed-loop guidance by a~fixed time for a~linear control system with incomplete information. Program solvability criterion
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 168-177
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The method of open-loop control packages is applied to identify solvability conditions in a problem of guaranteed closed-loop guidance of a linear partially observed control system to one of convex target sets by a specified time. The set of admissible initial states is assumed to be finite. The task is reduced to a problem of open-loop guidance of an extended control system, and solvability conditions for this system are described in terms of finite-dimensional convex optimization problems.
Keywords:
control, incomplete information, linear systems.
@article{TIMM_2014_20_4_a14,
author = {A. V. Kryazhimskii and N. V. Strelkovskii},
title = {A problem of guaranteed closed-loop guidance by a~fixed time for a~linear control system with incomplete information. {Program} solvability criterion},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {168--177},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a14/}
}
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A. V. Kryazhimskii; N. V. Strelkovskii. A problem of guaranteed closed-loop guidance by a~fixed time for a~linear control system with incomplete information. Program solvability criterion. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 168-177. http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a14/