Sensors and boundary gradient observability of hyperbolic systems

Authors

  • el hassan zerrik MACS Team, Dept. of Mathematics Faculty of Sciences. University Moulay Ismail. Meknes, Morocco
  • S. Benhadid Mathematics Department, Faculty of Exact Sciences. University Constantine1, Algeria
  • S. Rekkab Mathematics Department, Faculty of Exact Sciences. University Constantine1, Algeria

DOI:

https://doi.org/10.24297/ijmit.v4i3.768

Keywords:

Distributed hyperbolic systems, regional gradient observability, gradient strategic sensor, gradi- ent reconstruction

Abstract

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.

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Published

2013-07-25

How to Cite

zerrik, el hassan, Benhadid, S., & Rekkab, S. (2013). Sensors and boundary gradient observability of hyperbolic systems. INTERNATIONAL JOURNAL OF MANAGEMENT &Amp; INFORMATION TECHNOLOGY, 4(3), 295–316. https://doi.org/10.24297/ijmit.v4i3.768

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Articles