Gradient observability for diffusion systems

El Hassane Zerrik; Hamid Bourray

International Journal of Applied Mathematics and Computer Science (2003)

  • Volume: 13, Issue: 2, page 139-150
  • ISSN: 1641-876X

Abstract

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The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm illustrated by simulations.

How to cite

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Zerrik, El Hassane, and Bourray, Hamid. "Gradient observability for diffusion systems." International Journal of Applied Mathematics and Computer Science 13.2 (2003): 139-150. <http://eudml.org/doc/207629>.

@article{Zerrik2003,
abstract = {The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm illustrated by simulations.},
author = {Zerrik, El Hassane, Bourray, Hamid},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {gradient reconstruction; gradient strategic sensor; regional gradient observability; observability; diffusion system},
language = {eng},
number = {2},
pages = {139-150},
title = {Gradient observability for diffusion systems},
url = {http://eudml.org/doc/207629},
volume = {13},
year = {2003},
}

TY - JOUR
AU - Zerrik, El Hassane
AU - Bourray, Hamid
TI - Gradient observability for diffusion systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2003
VL - 13
IS - 2
SP - 139
EP - 150
AB - The aim of this paper is to study regional gradient observability for a diffusion system and the reconstruction of the state gradient without the knowledge of the state. First, we give definitions and characterizations of these new concepts and establish necessary conditions for the sensor structure in order to obtain regional gradient observability. We also explore an approach which allows for a regional gradient reconstruction. The developed method is original and leads to a numerical algorithm illustrated by simulations.
LA - eng
KW - gradient reconstruction; gradient strategic sensor; regional gradient observability; observability; diffusion system
UR - http://eudml.org/doc/207629
ER -

References

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