Khazari, A. and Boutoulout, A. and El Alaoui, F.Z. (2018) Regional boundary gradient observability of semilinear hyperbolic systems via HUM approach. IMA Journal of Mathematical Control and Information, 35 (1). pp. 75-92.

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In this work we introduce and characterize the notion of regional boundary gradient observability for distributed parameter systems governed by semilinear hyperbolic ones. This original concept is interested in the reconstruction of the initial gradient state and initial gradient speed only on a subregion Γ of the boundary ∂Ω of the evolving system domain Ω. Then we give definition and some properties, we show that under some hypothesis, the regional boundary gradient observability is guaranteed. We show by means of Hilbert Uniqueness Method combined with fixed point techniques that it is possible to reconstruct such initial gradient state and initial gradient speed on a desired subregion Γ without the knowledge of the initial state and speed. This approach leads to an algorithm which has implemented numerically, the simulations are discussed and illustrated by an example which led to a successful results. © 2016 The authors. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Control engineering; Mathematical techniques, Boundary reconstruction; Distributed systems; Fixed points; Hilbert uniqueness method; Hyperbolic system; Regional gradients, Observability
Subjects: Engineering
Divisions: SCIENTIFIC PRODUCTION > Engineering
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:47

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