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Kurzhanski, A.B. & Sivergina, I.F. (1992). Quasiinversion, Regularization and the Observability Problem. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-92-014
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Abstract
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.
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 02:02 |
| Last Modified: | 27 Aug 2021 17:14 |
| URI: | https://pure.iiasa.ac.at/3684 |
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