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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2977 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2977 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2977 archive 351 disk0/00/00/29/38 2016-01-15 01:57:37 2021-08-27 17:12:54 2016-01-15 01:57:37 monograph show 2 Kurzhanski A.B. AL0216 Khapalov A.Y. AL0841 On the Guaranteed State Estimation Problem for Parabolic Systems pub iis_met prog_sds This report deals with the problem of guaranteed estimation of the state of a distributed system on the basis of available measurements. The disturbances in the initial distribution, in the system inputs and in the available observations are assumed to be unknown 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 may then be specified, which coincides, in the case of quadratic integral constraints, with the regularizator introduced by A.N. Tikhonov for treating ill-posed inverse problems of mathematical physics. 1987-12 published WP-87-114 WP-87-114 10 2088 2028 public working_paper IIASA, Laxenburg, Austria 16 FALSE info:eu-repo/semantics/book