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Regional Boundary Observability of Parabolic Linear Systems with Constraints on the Gradient

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Abstract

We investigate regional boundary observability of parabolic linear systems with constraints on the gradient. The Hilbert uniqueness method is used to reconstruct the initial gradient state between two prescribed functions \(f_{1}\) and \(f_{2}\) on a part \(\Gamma \) of the boundary \(\partial \Omega \) of the whole domain \(\Omega \) without the knowledge of the state. The obtained results are illustrated by numerical simulations performed through an example which led to successful results.

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Authors and Affiliations

  1. TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco

    Hayat Zouiten, Ali Boutoulout & Fatima-Zahrae EL Alaoui

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  1. Hayat Zouiten
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  2. Ali Boutoulout
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  3. Fatima-Zahrae EL Alaoui
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Correspondence to Hayat Zouiten.

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Zouiten, H., Boutoulout, A. & Alaoui, FZ.E. Regional Boundary Observability of Parabolic Linear Systems with Constraints on the Gradient. J Control Autom Electr Syst 29, 271–279 (2018). https://doi.org/10.1007/s40313-018-0372-0

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  • DOI: https://doi.org/10.1007/s40313-018-0372-0

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