Boundary Exponential Gradient Reduced Order Detectability in Neumann Conditions

Mrooj A. Al-Bayati; Ahlam Y. Al-Shaya; Raheam A. Al-Saphory

doi:10.24996/ijs.2024.65.1.27

Authors

Mrooj A. Al-Bayati General Directorate of Salahaddin Province Education, Ministry of Education, Salahaddin, Iraq
Ahlam Y. Al-Shaya Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Salahaddin, Iraq
Raheam A. Al-Saphory Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Salahaddin, Iraq https://orcid.org/0000-0003-0253-7058

DOI:

https://doi.org/10.24996/ijs.2024.65.1.27

Keywords:

Strategic sensors, 〖〖∂Θ〗^*〗_EGRO-detectability, estimator, Neumann conditions

Abstract

This work, aims to study and examine the description f the gradient reduced order-strategic sensors of type boundary exponential (-strategic sensors) for completion gradient order-detectability of type boundary exponential (-detectability). Thus, this concept is linked to an estimator in distributed parameter systems (DPS_S) in Neumann problem. So,we present numerous consequences regarding to diverse kinds of information, region and conditions of boundary region to allow existence of -detectable systems. In addition,we have estimated at the junction interface that the interior solution isharmonizedwith the exterior solution for -detectable and, we give the relationship between this concept and sensors structures. Finally,we demonstrate some applications with many circumstances f sensor positions.