TITLE:
Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach
AUTHORS:
Adil Khazari, Ali Boutoulout
KEYWORDS:
Distributed Systems, Hyperbolic Systems, Gradient Reconstruction, Regional Observability, Fixed Point, Sectorial Operator
JOURNAL NAME:
Intelligent Control and Automation,
Vol.5 No.3,
August
8,
2014
ABSTRACT: The aim of this
work is to study the notion of the gradient observability on a subregionω of the evolution
domainΩ for a class of
semilinear hyperbolic systems. We show, under some hypothesis, that the
gradient reconstruction is achieved following sectorial approach combined with
fixed point techniques. The obtained results lead to an algorithm which can be
implemented numerically.