Regional Boundary Gradient Detectability in Distributed Parameter Systems

Raheam Al Saphory; Mrooj Al Bayati

doi:10.24297/jam.v14i2.7478

Authors

Raheam Al Saphory Tikrit University, Iraq
Mrooj Al Bayati Tikrit University, Iraq

DOI:

https://doi.org/10.24297/jam.v14i2.7478

Keywords:

Strategic sensors, observer, detectability, Infinite dimensional systems, Hilbert space

Abstract

The aim of this paper is study and explore the notion of the regional boundary gradient detectability in connection with the choice of strategic gradient sensors on sub-region of the considered system domain boundary. More precisely, the principal reason behind introducing this notion is that the possibility to design a dynamic system (may be called regional boundary gradient observer) which enable to estimate the unknown system state gradient. Then for linear infinite dimensional systems in a Hilbert space, we give various new results related with different measurements. In addition, we provided a description of the regional boundary exponential gradient strategic sensors for completion the regional boundary exponential gradient observability and regional boundary exponential gradient detectability. Finally, we present and illustrate the some applications of sensors structures which relate by regional boundary exponential gradient detectability in diffusion distributed parameter systems.

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Author Biographies

Raheam Al Saphory, Tikrit University, Iraq

Department of Mathematics, College of Education for Pure Sciences,Tikrit University, Iraq

Mrooj Al Bayati, Tikrit University, Iraq

Department of Mathematics, College of Education for Mathematics, Tikrit University, Iraq

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