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Regional boundary obsevability: A numerical approach

Zerrik E. H., Bourray H., Boutoulout A.

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 2

143-151

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 by simulations.

Sensor Characterization for Regional Boundary Observability

Zerrik E. H., Badraoui L.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 2

345-356

The purpose of this paper is to report some original results on regional boundary observation and boundary strategic sensors. Characterization of such sensors is related to their spatial structure and location, and aims at achieving regional boundary observability for parabolic systems. An application to a two-dimensional diffusion process and various illustrative examples are demonstrated.