Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 673052, 13 pages
http://dx.doi.org/10.5402/2011/673052
Research Article

Strategic Sensors and Regional Exponential Observability

Department of Mathematics, College of Education, Tikrit University, Salah Aldeen, Iraq

Received 27 April 2011; Accepted 29 May 2011

Academic Editor: C.-H. Lien

Copyright © 2011 Raheam A. Mansor Al-Saphory. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of this paper is to introduce the concept of regional exponential observability in connection with the strategic sensors. Then, we give characterization of such sensors in order that regional exponential observability can be achieved. The obtained results are applied to two-dimensional systems, and various cases of sensors are considered. We also show that there exists a dynamical system for diffusion system which is not exponentially observable in the usual sense but it may be regionally exponentially observable.