Flux reconstruction for hyperbolic systems: Sensors and simulations

Adil  Khazari; Ali  Boutoulout

doi:10.3934/eect.2015.4.177

Article Contents

2015, Volume 4, Issue 2: 177-192. Doi: 10.3934/eect.2015.4.177

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Flux reconstruction for hyperbolic systems: Sensors and simulations

Adil Khazari^1, and
Ali Boutoulout^1,

1.
TSI Team, MACS Laboratory, Moulay Ismail University, Faculty of Sciences, PB 11201, Zitoune-Meknes

Received: March 31, 2014

Revised: September 30, 2014

Published: May 2015

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Abstract

This paper aims to establish necessary conditions for sensors structure (number and location) in order to obtain regional boundary gradient observability for hyperbolic system. The obtained results are applied to a two-dimensional diffusion process considering various types of sensors. Also, we will explore an approach that can reconstruct the gradient on a part $\Gamma$ of the boundary $\partial\Omega$ of the evolution domain $\Omega$. The simulations illustrate the established results and lead to some conjectures.

Keywords:

Distributed systems,
hyperbolic systems,
regional boundary gradient observability,
regional boundary reconstruction,
strategic sensor.

Mathematics Subject Classification: Primary: 93B07; Secondary: 37N35.

Citation:

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References

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