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Boutoulout, A., Bourray, H. and Baddi, M. (2011) Regional Observability with Constraints of the Gradient. International Journal of Pure and Applied Mathematical, 73, 235-253.

has been cited by the following article:

• TITLE: Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach

  AUTHORS: Hayat Zouiten, Ali Boutoulout, Fatima Zahrae EL Alaoui

  KEYWORDS: Distributed Systems, Parabolic Systems, Regional Enlarged Observability, Gradient Reconstruction, HUM Approach

  JOURNAL NAME: Intelligent Control and Automation, Vol.8 No.1, December 30, 2016

  ABSTRACT: This paper is focused on studying an important concept of the system analysis, which is the regional enlarged observability or constrained observability of the gradient for distributed parabolic systems evolving in the spatial domain Ω We will explore an approach based on the Hilbert Uniqueness Method (HUM), which can reconstruct the initial gradient state between two prescribed functions f1 and f2 only in a critical subregion ω of Ω without the knowledge of the state. Finally, the obtained results are illustrated by numerical simulations.