Author(s)

Samir Benhadid, Soraya Rekkab, El Hassane Zerrik

MACS Team, Department of Mathematics Faculty of Sciences, University Moulay Ismail, Meknes, Morocco.
Mathematics Department, Faculty of Exact Sciences, University Mentouri, Constantine, Algeria.

This paper presents a method to deal with an extension of regional gradient observability developed for parabolic system [1,2] to hyperbolic one. This concerns the reconstruction of the state gradient only on a subregion of the system domain. Then necessary conditions for sensors structure are established in order to obtain regional gradient observability. An approach is developed which allows the reconstruction of the system state gradient on a given subregion. The obtained results are illustrated by numerical examples and simulations.

Distributed Systems; Hyperbolic Systems; Observability; Regional Gradient Observability; Sensors; Gradient Reconstruction

Benhadid, S. , Rekkab, S. and Zerrik, E. (2012) Sensors and Regional Gradient Observability of Hyperbolic Systems. Intelligent Control and Automation, 3, 78-89. doi: 10.4236/ica.2012.31010.