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has been cited by the following article:

• TITLE: Sectorial Approach of the Gradient Observability of the Hyperbolic Semilinear Systems Intern and Boundary Cases

  AUTHORS: Adil Khazari, Ali Boutoulout

  KEYWORDS: Distributed Systems, Semilinear Hyperbolic Systems, Boundary Reconstruction, Regional Boundary Gradient Observability, Regional Gradient Observability, Gradient Observability, Fixed Point, Sectorial Operator

  JOURNAL NAME: Applied Mathematics, Vol.7 No.12, July 26, 2016

  ABSTRACT: The aim of this paper is to study the notion of the gradient observability on a subregion w of the evolution domain W and also we consider the case where the subregion of interest is a boundary part of the system evolution domain for the class of semilinear hyperbolic systems. We show, under some hypotheses, that the flux reconstruction is guaranteed by means of the sectorial approach combined with fixed point techniques. This leads to several interesting results which are performed through numerical examples and simulations.