scholarly journals Maximal L-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

2021 ◽  
Vol 294 ◽  
pp. 60-87
Author(s):  
Irena Lasiecka ◽  
Buddhika Priyasad ◽  
Roberto Triggiani
Keyword(s):  
Feedback Control ◽  
Evolution Equation ◽  
Closed Loop ◽  
Control Problems ◽  
Boundary Feedback Control ◽  
Boundary Feedback ◽  
Abstract Evolution Equation

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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