Exact Observability of Nonstationary Hyperbolic Systems with Scanning Finite-Dimensional Observations

Khapalov, A.Y. (1992). Exact Observability of Nonstationary Hyperbolic Systems with Scanning Finite-Dimensional Observations. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-92-074

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Abstract

The paper considers a problem of exact observability for nonstationary linear hyperbolic systems with nonstationary interior observations. Three types of scanning observations are considered and the existence of measurement curves and set-valued maps for sensors that ensure exact observability is established. The proposed method is based on a priori energy estimates of instantaneous type for solutions. It allows to obtain required measurement curves that are continuous in a fixed interval or measurement maps that are lower semi-continuous in the interval with respect to Lebesgue measure.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:01
Last Modified: 27 Aug 2021 17:14
URI: https://pure.iiasa.ac.at/3625

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