IJPAM: Volume 73, No. 2 (2011)
CONSTRAINTS OF THE GRADIENT




Faculty of Sciences
Moulay Ismaïl University
Meknes, MOROCCO
Abstract. The aim of this paper is to explore the concept of observability
with constraints of the gradient for distributed parabolic system
evolving in spatial domain . It consists in the
reconstruction of the initial state gradient and must be between
two prescribed functions in a subregion
of
. We
give definitions and some properties of this kind of regional
observability and we describe two approaches to solve this problem
where the first is based on subdifferential techniques and the
second uses the lagrangian multiplier method. This last approach
leads to an algorithm which is performed by example and
simulation.
Received: October 26, 2011
AMS Subject Classification: 93B07, 93C20
Key Words and Phrases: distributed systems, parabolic systems, regional observability, gradient reconstruction
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 73
Issue: 2