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Regional Constrained Observability for Distributed Hyperbolic Systems |
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PP: 219-227 |
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doi:10.18576/amis/110127
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Author(s) |
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Abel-Ilah Saaof,
Adil Khazari,
Ali Boutoulout,
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Abstract |
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| The aim of this paper is to develop the question of the regional constrained observability for distributed hyperbolic system
evolving in spatial domain W. It consists in the reconstruction of the initial conditions, in a subregion w of W, knowing that the initial
position is between two prescribed functions in w and also the initial speed is between two others functions also prescribed in w. We
give some definitions and proprieties concerning this concept and then we describe two approaches for solving this problem. The first is
based on subdifferential technics and the second uses the Lagrangian multiplier method. This last approach leads to an algorithm for the
reconstruction of the initial conditions. The obtained results are illustrated by numerical simulations which lead to some conjectures. |
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