scholarly journals Regional boundary controllability of the gradient of semi-linear parabolic systems

2021 ◽  
Keyword(s):  
Parabolic Systems ◽  
Boundary Controllability ◽  
Regional Boundary

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

2020 ◽  
Vol 18 ◽  
pp. 28-45
Author(s):  
Raheam Al-Saphory ◽  
Zinah A. Khalid
Keyword(s):  
Dynamical System ◽  
Boundary Conditions ◽  
Domain Boundary ◽  
Original System ◽  
Parabolic Systems ◽  
Distributed Parameter ◽  
Usual Sense ◽  
Luenberger Observer ◽  
Different Types ◽  
Regional Boundary

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.

scholarly journals On the boundary controllability of non-scalar parabolic systems

2009 ◽  
Vol 347 (13-14) ◽  
pp. 763-766 ◽  
Author(s):  
Enrique Fernández-Cara ◽  
Manuel González-Burgos ◽  
Luz de Teresa
Keyword(s):  
Parabolic Systems ◽  
Boundary Controllability
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