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Regional Boundary Observability of Semilinear Hyperbolic Systems : HUM Approach |
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PP: 1-6 |
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Author(s) |
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Ali Boutoulout,
Hamid Bourray,
Fatima-Zahrae El Alaoui,
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Abstract |
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| This paper aims to study the notion of regional observability of a distributed parameter system governed by semilinear
hyperbolic equations. This original concept is interested in the reconstruction of the the state only on a subregion G of the boundary
of the system evolution domain śW. We give denition and some properties of this notion and we show that under some hypothesis,the
regional boundary observability is guaranted.We show by means of Hilbert Uniqueness Method (HUM) combined with fixed point
techniques that it is possible to reconstruct such a state on a desired subregion G .This approach leads to interesting results which are
performed through numerical example and simulations. |
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