Quasiinversion, Regularization and the Observability Problem

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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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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