Open AccessSensors and boundary gradient observability of hyperbolic systems
Author(s) -
El Hassan Zerrik,
S. Benhadid,
S. Rekkab
Publication year - 2013
Publication title -
international journal of management and information technology
Language(s) - English
Resource type - Journals
ISSN - 2278-5612
DOI - 10.24297/ijmit.v4i3.768
Subject(s) - observability , uniqueness , boundary (topology) , domain (mathematical analysis) , mathematics , extension (predicate logic) , mathematical analysis , boundary value problem , hilbert space , hyperbolic partial differential equation , computer science , partial differential equation , programming language
The aim of this paper is to study regional gradient observability in a boundary subregion of evolution domain of hyperbolic system. We establish necessary conditions for the sensor structure in order to obtain regional boundary gradient observability. A reconstruction method based on extension of the Hilbert uniqueness method [7] is also developed and leads to a numerical approach successfully illustrated with numerical examples and simulations.