Currently displaying 1 – 5 of 5

Showing per page

Order by Relevance | Title | Year of publication

Gradient observability for diffusion systems

El Hassane ZerrikHamid Bourray — 2003

International Journal of Applied Mathematics and Computer Science

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...

A new approach to the constrained controllability problem

Ali BoutouloutLayla EzzahriHamid Bourray — 2014

Applicationes Mathematicae

We consider the problem of internal regional controllability with output constraints. It consists in steering a hyperbolic system to a final state between two prescribed functions only on a subregion of the evolution system domain. This problem is solved by characterizing the optimal control in terms of a subdifferential associated with the minimized functional.

Sensors and boundary state reconstruction of hyperbolic systems

El Hassan ZerrikHamid BourraySamir Ben Hadid — 2010

International Journal of Applied Mathematics and Computer Science

This paper deals with the problem of regional observability of hyperbolic systems in the case where the subregion of interest is a boundary part of the system evolution domain. We give a definition and establish characterizations in connection with the sensor structure. Then we show that it is possible to reconstruct the system state on a subregion of the boundary. The developed approach, based on the Hilbert uniqueness method (Lions, 1988), leads to a reconstruction algorithm. The obtained results...

Regional boundary observability: a numerical approach

El Hassane ZerrikHamid BourrayAli Boutoulout — 2002

International Journal of Applied Mathematics and Computer Science

In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which is illustrated...

Page 1

Download Results (CSV)