Open AccessOn Regional Boundary Gradient Strategic Sensors In Diffusion Systems
Author(s) -
Raheam A. Al-Saphory,
Ahlam Y. Al-Shaya
Publication year - 2021
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v20i.8953
Subject(s) - observability , boundary (topology) , semigroup , mathematics , hilbert space , diffusion , distributed parameter system , ordinary differential equation , partial differential equation , mathematical analysis , control theory (sociology) , differential equation , computer science , control (management) , artificial intelligence , physics , thermodynamics
This paper is aimed at investigating and introducing the main results regarding the concept of Regional Boundary Gradient Strategic Sensors (RBGS-sensors the in Diffusion Distributed Parameter Systems (DDP-Systems . Hence, such a method is characterized by Parabolic Differential Equations (PDEs in which the behavior of the dynamic is created by a Semigroup ( of Strongly Continuous type (SCSG in a Hilbert Space (HS) . Additionally , the grantee conditions which ensure the description for such sensors are given respectively to together with the Regional Boundary Gradient Observability (RBG-Observability can be studied and achieved . Finally , the results gotten are applied to different situations with altered sensors positions are undertaken and examined.