Regional boundary gradient observability of semilinear hyperbolic systems via HUM approach

2016 ◽  
pp. dnw036
Author(s):  
A. Khazari ◽  
A. Boutoulout ◽  
F. Z. El Alaoui
Keyword(s):  
Hyperbolic Systems ◽  
Semilinear Hyperbolic Systems ◽  
Regional Boundary ◽  
Boundary Gradient

scholarly journals Sensors and boundary gradient observability of hyperbolic systems

2013 ◽  
Vol 4 (3) ◽  
pp. 295-316
Author(s):  
El hassan Zerrik ◽  
S. Benhadid ◽  
S. Rekkab
Keyword(s):  
Necessary Conditions ◽  
Hyperbolic Systems ◽  
Numerical Approach ◽  
Reconstruction Method ◽  
Sensor Structure ◽  
Hilbert Uniqueness Method ◽  
Uniqueness Method ◽  
Regional Gradient ◽  
Regional Boundary ◽  
Boundary Gradient

The aim of this paper is to study regional gradient observability in a boundary subregion of evolution domain of hyperbolic system. We establish necessary conditions for the sensor structure in order to obtain regional boundary gradient observability. A reconstruction method based on extension of the Hilbert uniqueness method [7] is also developed and leads to a numerical approach successfully illustrated with numerical examples and simulations.

scholarly journals Semilinear hyperbolic systems violating the null condition

2014 ◽  
Vol 361 (1-2) ◽  
pp. 275-312 ◽  
Author(s):  
Soichiro Katayama ◽  
Toshiaki Matoba ◽  
Hideaki Sunagawa
Keyword(s):  
Hyperbolic Systems ◽  
Null Condition ◽  
Semilinear Hyperbolic Systems

scholarly journals On Regional Boundary Gradient Strategic Sensors In Diffusion Systems

2021 ◽  
Vol 20 ◽  
pp. 66-78
Author(s):  
Raheam Al-Saphory ◽  
Ahlam Y Al-Shaya
Keyword(s):  
Hilbert Space ◽  
Differential Equations ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Parabolic Differential Equations ◽  
Continuous Type ◽  
Diffusion Systems ◽  
Regional Boundary ◽  
Boundary Gradient

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.

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