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Sensors and Regional Gradient Observability of Hyperbolic Systems

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Author(s): El Hassane Zerrik | Soraya Rekkab | Samir Benhadid

Journal: Advances in Molecular Imaging
ISSN 2161-6728

Volume: 03;
Issue: 01;
Start page: 78;
Date: 2012;
Original page

Keywords: Distributed Systems | Hyperbolic Systems | Observability | Regional Gradient Observability | Sensors | Gradient Reconstruction

ABSTRACT
This paper presents a method to deal with an extension of regional gradient observability developed for parabolic system [1,2] to hyperbolic one. This concerns the reconstruction of the state gradient only on a subregion of the system domain. Then necessary conditions for sensors structure are established in order to obtain regional gradient observability. An approach is developed which allows the reconstruction of the system state gradient on a given subregion. The obtained results are illustrated by numerical examples and simulations.

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