Quasiinversion, Regularization and the Observability Problem

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3711 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3711 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3711 archive 351 disk0/00/00/36/84 2016-01-15 02:02:12 2021-08-27 17:14:17 2016-01-15 02:02:12 monograph show 2 Kurzhanski A.B. AL0216 Sivergina I.F. Quasiinversion, Regularization and the Observability Problem pub iis_met prog_sds This paper deals with the problem of estimating the initial state of a distributed field on the basis of measurements generated by sensors. The original ill-posed problem is regularized here through an auxiliary "guaranteed estimation" problem. This yields a stable numerical procedure and also allows to establish a unified "systems-theoretic" framework for treating regularizers in general. Particularly the important point is that for finite dimensional sensor outputs a necessary condition for the existence of a stable numerical solution is the observability property which ensures existence of solution in the absence of measurement noise. 1992-01 published WP-92-014 WP-92-014 10 2088 public working_paper IIASA, Laxenburg, Austria 30 FALSE info:eu-repo/semantics/book