Raheam Al-Saphory | Searcharxiv

arXiv2020

Regional boundary gradient strategic sensors in Neumann conditions

The main idea of this paper is to explore and present the original results related to the notion of regional boundary gradient strategic sensors in distributed parameter system for Neumann problem. Thus, this systems is described by parabolic state space partial differential equations where the dynamic is governed by strongly continuous semi-group in Hilbert space. In addition, we give the sufficient conditions which are guaranteed the characterizations for such sensors in order that regional boundary approximately gradient observability can be achieved and proved. The obtained results are applied to two-dimensional circular in a part of considered system domain with various cases of sensors locations are tackled and studied.

math.OC↗

arXiv2020

Sufficient Conditions for Observability in Electrocardiography Problem

The aim of this paper, is to study electrical cardiography problem. Thus, we construct the state space system of this model as mathematical model. Moreover, we present some definitions and results which is described some concepts of linear control system analysis related to this problem. More precisely, the sufficient conditions which characterize the observability notion of linear dynamical controlled system are presented and discussed. Finally, we prove that, the electrical cardiography model is completely observable system over finite time.

eess.SY↗