Boutoulout, A. and Bourray, H. and El Alaoui, F.Z. (2012) Regional gradient observability for distributed semilinear parabolic systems. Journal of Dynamical and Control Systems, 18 (2). pp. 159-179.

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Abstract

In this paper, we extend the notion of regional observability of the gradient for linear systems to a class of semilinear parabolic systems. To reconstruct the gradient in the subregion of the system evolution domain, we begin with the first approach which combines the extension of the HUM method and the fixed point techniques. The analytical case is then tackled using sectorial property of the considered dynamic operator and converted to a fixed point problem. The two approaches lead to algorithms which are successfully implemented numerically and illustrated with examples and simulations. © 2012 Springer Science+Business Media, Inc.

Item Type: Article
Uncontrolled Keywords: Distributed systems; Dynamic operators; Fixed points; Fixed-point problem; Parabolic system; Regional gradients; Semilinear; System evolution, Linear systems, Observability
Subjects: Engineering
Divisions: SCIENTIFIC PRODUCTION > Engineering
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:47
URI: http://eprints.umi.ac.ma/id/eprint/3344

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