About an estimation problem of a linear system with delay of information
The Bulletin of Irkutsk State University. Series Mathematics, Tome 42 (2022), pp. 3-16
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The problem of guaranteed estimation with geometrically bounded initial states and integrally limited disturbances is considered under delay information in the measurement equation. At the additional assumptions the problem is reduced to the creation of the reachable set of a special system. A discrete multistage system is specified for which the information set converges in Hausdorff's metric to the corresponding information set of the continuous system when the diameter of partition is reduced. A numerical example is given.
Keywords:
guaranteed estimation, reachable set.
Mots-clés : information set
Mots-clés : information set
@article{IIGUM_2022_42_a0,
author = {B. I. Ananyev and P. A. Yurovskikh},
title = {About an estimation problem of a linear system with delay of information},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {3--16},
publisher = {mathdoc},
volume = {42},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2022_42_a0/}
}
TY - JOUR AU - B. I. Ananyev AU - P. A. Yurovskikh TI - About an estimation problem of a linear system with delay of information JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2022 SP - 3 EP - 16 VL - 42 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2022_42_a0/ LA - en ID - IIGUM_2022_42_a0 ER -
%0 Journal Article %A B. I. Ananyev %A P. A. Yurovskikh %T About an estimation problem of a linear system with delay of information %J The Bulletin of Irkutsk State University. Series Mathematics %D 2022 %P 3-16 %V 42 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2022_42_a0/ %G en %F IIGUM_2022_42_a0
B. I. Ananyev; P. A. Yurovskikh. About an estimation problem of a linear system with delay of information. The Bulletin of Irkutsk State University. Series Mathematics, Tome 42 (2022), pp. 3-16. http://geodesic.mathdoc.fr/item/IIGUM_2022_42_a0/