eprintid: 14137
rev_number: 6
eprint_status: archive
userid: 5
dir: disk0/00/01/41/37
datestamp: 2016-12-13 10:21:32
lastmod: 2021-08-27 17:41:43
status_changed: 2016-12-13 10:21:32
type: book_section
metadata_visibility: show
item_issues_count: 1
creators_name: Kurzhanski, A.B.
creators_name: Hapalov, A.Yu.
creators_id: AL0216
title: On the State Estimation Problem for Distributed Systems
ispublished: pub
divisions: prog_ado
abstract: This report deals with the problem of guaranteed estimation of the state of a distri-buted system on the basis of available measurements. The disturbances in the initial dis-tribution, in the system inputs and in the available observations are assumed to be unk-nown in advance. No statistical information on these is given and it is only the restrictions on the possible realizations of these functions that are taken to be available. The inverse problem which arises here therefore reduces to the description of the “informational set” of all solutions that are consistent with the system equation, the available measurement and the constraints on the uncertainties. A minimax guaranteed estimate U° (θ, ·) similar to the “Chebyshev center” of a given set may then be specified, which coincides, in the case of quadratic integral constraints, with the regularization introduced by A.N. Tikhonov for treating ill-posed inverse problems of mathematical physics, [4].
date: 1986
date_type: published
publisher: Springer Berlin Heidelberg
id_number: 10.1007/BFb0007551
creators_browse_id: 2088
full_text_status: none
series: Lecture Notes in Control and Information Sciences
volume: 83
place_of_pub: Germany
pagerange: 102-113
refereed: TRUE
isbn: 978-3-540-39856-1
issn: 0170-8643
book_title: Analysis and Optimization of Systems
editors_name: Bensoussan, A.
editors_name: Lions, J.L.
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/bookPart
citation:   Kurzhanski, A.B. <https://pure.iiasa.ac.at/view/iiasa/2088.html> & Hapalov, A.Yu.  (1986).  On the State Estimation Problem for Distributed Systems.    In:  Analysis and Optimization of Systems. Eds. Bensoussan, A. & Lions, J.L., pp. 102-113 Germany: Springer Berlin Heidelberg.  ISBN 978-3-540-39856-1 10.1007/BFb0007551 <https://doi.org/10.1007/BFb0007551>.