Decentralized optimal control of dynamical systems under uncertainty
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1209-1227
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The problem of optimal control of a group of interconnected dynamical objects under uncertainty is considered. The cases are examined in which the centralized control of the group of objects is impossible due to delay in the channel for information exchange between the group members. Optimal self-control algorithms in real time for each dynamical object are proposed. Various types of a priori and current information about the behavior of the group members and about uncertainties in the system are examined. The proposed methods supplement the earlier developed optimal control methods for an individual dynamical system and the methods of decentralized optimal control of deterministic objects. The results are illustrated with examples.
@article{ZVMMF_2011_51_7_a3,
author = {R. Gabasov and N. M. Dmitruk and F. M. Kirillova},
title = {Decentralized optimal control of dynamical systems under uncertainty},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1209--1227},
publisher = {mathdoc},
volume = {51},
number = {7},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a3/}
}
TY - JOUR AU - R. Gabasov AU - N. M. Dmitruk AU - F. M. Kirillova TI - Decentralized optimal control of dynamical systems under uncertainty JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 1209 EP - 1227 VL - 51 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a3/ LA - ru ID - ZVMMF_2011_51_7_a3 ER -
%0 Journal Article %A R. Gabasov %A N. M. Dmitruk %A F. M. Kirillova %T Decentralized optimal control of dynamical systems under uncertainty %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 1209-1227 %V 51 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a3/ %G ru %F ZVMMF_2011_51_7_a3
R. Gabasov; N. M. Dmitruk; F. M. Kirillova. Decentralized optimal control of dynamical systems under uncertainty. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 7, pp. 1209-1227. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_7_a3/