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.
Highlights
In system theory, the observability is related to the possibility of reconstruction of the state from the knowledge of system dynamics and the output 1–4
The aim of this paper is to introduce the concept of regional exponential observability in connection with the strategic sensors
We 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
Summary
The observability is related to the possibility of reconstruction of the state from the knowledge of system dynamics and the output 1–4. The notion of regional analysis was extended by El Jai et al 5, 6. The study of this notion is motivated by certain concretereal problem, in thermic, mechanic environment 7–9. The concept of regional asymptotic analysis was introduced recently by Al-Saphory and El Jai in 10–12 , consisting in studying the behaviour of the system not in all the domain Ω but only on particular region ω of the domain. The purpose of this paper is to give some results related to the link between regional exponential observability and strategic sensors. Some notions concerning the exponential behaviour ω-strategic sensor, ω-detectability, and ω-observer.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
