Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach

Adil  Khazari; Ali  Boutoulout

doi:10.4236/ica.2014.53019

Adil Khazari^*, Ali Boutoulout

Abstract: The aim of this work is to study the notion of the gradient observability on a subregion ω of the evolution domain Ω for a class of semilinear hyperbolic systems. We show, under some hypothesis, that the gradient reconstruction is achieved following sectorial approach combined with fixed point techniques. The obtained results lead to an algorithm which can be implemented numerically.

Keywords: Distributed Systems, Hyperbolic Systems, Gradient Reconstruction, Regional Observability, Fixed Point, Sectorial Operator

Cite this paper: Khazari, A. and Boutoulout, A. (2014) Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach. Intelligent Control and Automation, 5, 170-181. doi: 10.4236/ica.2014.53019.

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