Heat exchange enhancement by extremum seeking boundary feedback control in 3D magnetohydrodynamic channel flow

2010 ◽  
Author(s):  
Lixiang Luo ◽  
Eugenio Schuster
Keyword(s):  
Heat Exchange ◽  
Feedback Control ◽  
Channel Flow ◽  
Extremum Seeking ◽  
Boundary Feedback Control ◽  
Boundary Feedback ◽  
Exchange Enhancement ◽  
Magnetohydrodynamic Channel

scholarly journals Riesz basis property of Timoshenko beams with boundary feedback control

2003 ◽  
Vol 2003 (28) ◽  
pp. 1807-1820 ◽  
Author(s):  
De-Xing Feng ◽  
Gen-Qi Xu ◽  
Siu-Pang Yung
Keyword(s):  
Feedback Control ◽  
Riesz Basis ◽  
Closed Loop ◽  
Loop System ◽  
Beam Equation ◽  
Closed Loop System ◽  
Boundary Feedback Control ◽  
Riesz Basis Property ◽  
Boundary Feedback ◽  
Generalized Eigenvectors

A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space.

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