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Regional boundary observability: a numerical approach

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Zerrik E. H., Bourray H., Boutoulout A.
International Journal of Applied Mathematics and Computer Science
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2002
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tom 12
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nr 2
143-151
EN
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.
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A new approach to the constrained controllability problem

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Boutoulout A., Ezzahri L., Bourray H.
Applicationes Mathematicae
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2014
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tom 41
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nr 2-3
221-228
EN
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.
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