Regional gradient observability for distributed semilinear parabolic systems
type: Item
instance of: scholarly article
title: Regional gradient observability for distributed semilinear parabolic systems
zbMATH Open document ID: 1264.35133
author: Hamid Bourray
author: Ali Boutoulout
author: Fatima Zahrae El Alaoui
published in: Journal of Dynamical and Control Systems
publication date: 2013-02-14T00:00:00Z
review text: The regional gradient observability for distributed semilinear parabolic systems is examined. The authors develop the regional gradient observability notion of linear systems to solve the problem related to a semilinear one. The first reconstruction approach discussed in the paper is based on the Hilbert uniqueness method and the second one uses sectorial properties of the considered operators and the fixed point techniques. In the both approaches, the obtained algorithms are performed through numerical examples and simulation.
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 6136290
zbMATH Keywords: gradient reconstruction
zbMATH Keywords: fixed point
zbMATH Keywords: Hilbert uniqueness method
reviewed by: Vyacheslav I. Maksimov
MaRDI profile type: Publication
full work available at URL: s10883-012-9138-3
OpenAlex ID: W2062842856
cites work: Detection and spy sensors in discrete distributed systems
cites work: Regional observability of distributed systems
cites work: Q3072572
cites work: Wavelet and error estimation of surface heat flux
cites work: Infinite dimensional linear systems theory
cites work: Geometric theory of semilinear parabolic equations
cites work: Local Controllability for a “Swimming” Model
cites work: Constrained controllability of semilinear systems.
cites work: Q5601627
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q3044214
cites work: Regional flux reconstruction for parabolic systems
cites work: Regional observability for semilinear distributed parabolic systems
cites work: Exact controllability for the semilinear wave equation
DOI: 10.1007/S10883-012-9138-3
description: scientific article; zbMATH DE number 6136290