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A. M. Micheletti, “Perturbazione dello Sopettro di un Elliptic di Tipo Variazionale in Relazione ad uma Variazione del Campo,” (in Italian), Ricerche di Matematica, Vol. XXV Fasc II, 1976.

has been cited by the following article:

• TITLE: Sensors and Regional Gradient Observability of Hyperbolic Systems

  AUTHORS: Samir Benhadid, Soraya Rekkab, El Hassane Zerrik

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

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.1, February 28, 2012

  ABSTRACT: 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.