Author(s)

Hayat Zouiten, Ali Boutoulout, Fatima Zahrae EL Alaoui

TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco.

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.

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

Zouiten, H. , Boutoulout, A. and Alaoui, F. (2017) Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach. Intelligent Control and Automation, 8, 15-28. doi: 10.4236/ica.2017.81002.