IJPAM: Volume 90, No. 4 (2014)

REGIONAL QUADRATIC PROBLEM FOR DISTRIBUTED
BILINEAR SYSTEMS WITH BOUNDED CONTROLS

Maawiya Ould Sidi$^1$, Sid Ahmed Ould Beinane$^2$
$^{1,2}$Departement of Mathematics
College of Sciences
Al Jouf University
Sakakah, KINGDOM OF SAUDI ARABIA


Abstract. In this paper, we establish the approximate controllability of a class of distributed bilinear systems evolving in a spatial domain $\Omega$. A bounded feedback control is used to drive a dynamical system from an initial state to a desired one in finite time, only on a subregion $\omega$ of the system domain. Our purpose is to prove that an regional optimal control exists, and characterized as a solution to an optimality system. Numerical approach is given and successfully illustrated by simulations.

Received: September 20, 2013

AMS Subject Classification: 93B05, 93B52, 49K35

Key Words and Phrases: distributed systems, bilinear systems, quadratic problems, regional bounded control, simulations

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DOI: 10.12732/ijpam.v90i4.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 4