Regional Boundary Asymptotic Gradient Full-Order Observer in Distributed Parabolic Systems

Authors

  • Raheam Al-Saphory Tikrit University
  • Zinah A. Khalid Tikrit University, Tikrit, Iraq

DOI:

https://doi.org/10.24297/jam.v18i.8543

Keywords:

RBG-Strategic Sensors, RBAG-Detectability, RBAGFO-Observers, Diffusion System

Abstract

The purpose of this paper is to explore the concept of the regional boundary asymptotic gradient full order observer (RBAGFO-observer) in connection with the characterizations of sensors structures. Then, we present various results related to different types of measurements, domains and boundary conditions for distributed parameter systems (DPSS) in parabolic systems problem.  The considered approach of this work is derived from Luenberger observer theory which is enable to estimate asymptotically the state gradient of the original system on a sub-region of the domain boundary  in order that the RBAGFO-observability notion to be achieved. We also show that there exists a dynamical system for the considered system is not BAGFO-observer in the usual sense, but it may be regional RBAGFO-observer.

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Author Biographies

Raheam Al-Saphory, Tikrit University

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

Zinah A. Khalid, Tikrit University, Tikrit, Iraq

Department of Mathematics, College of Education for Pure Sciences

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Published

2020-01-14

How to Cite

Al-Saphory, R., & A. Khalid, Z. (2020). Regional Boundary Asymptotic Gradient Full-Order Observer in Distributed Parabolic Systems. JOURNAL OF ADVANCES IN MATHEMATICS, 18, 28–45. https://doi.org/10.24297/jam.v18i.8543

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