IJPAM: Volume 26, No. 3 (2006)

BOUNDARY TARGET IN PARABOLIC
SYSTEMS APPROACH AND SIMULATIONS

H. Bourray$^1$, A. Boutoulout$^2$, E. Zerrik$^3$, L. Badraoui$^4$
$^{1,2,3}$Department of Mathematics and Informatics
Faculty of Sciences
Moulay Ismail University
P.O. 11201, Zitoune, Meknes, MOROCCO
$^1$e-mail: hbourrayh@yahoo.fr
$^2$e-mail: boutoul@fsmek.ac.ma
$^3$e-mail: zerrik@fsmek.ac.ma
$^4$Royal Naval School
Casablanca, MOROCCO
e-mail: badraoui@emi.ac.ma


Abstract.In this paper we examine the boundary target control problem, so we establish a sequence of controls which converge to the optimal control, also we give an important numerical approach that leads to the computation of a such control. This method, based on an extension of the internal regional controllability, is successfully tested through computer simulations leading to some conjectures.

Received: November 15, 2005

AMS Subject Classification: 26A33

Key Words and Phrases: parabolic systems, regional boundary controllability, boundary strategic actuator

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 26
Issue: 3