Stability of Boundary Feedback Control Based on Weighted Lyapunov Function in Networks of Open Channels

2009 ◽  
Vol 35 (1) ◽  
pp. 97-102 ◽  
Author(s):  
Li-Hui CEN ◽  
Yu-Geng XI
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Open Channels ◽  
Boundary Feedback Control ◽  
Boundary Feedback

Boundary feedback control in networks of open channels

Automatica ◽  
2003 ◽  
Vol 39 (8) ◽  
pp. 1365-1376 ◽  
Author(s):  
J. de Halleux ◽  
C. Prieur ◽  
J.-M. Coron ◽  
B. d'Andréa-Novel ◽  
G. Bastin
Keyword(s):  
Feedback Control ◽  
Open Channels ◽  
Boundary Feedback Control ◽  
Boundary Feedback

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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