Title :
Uniform stabilization of a hybrid system of elasticity
Author_Institution :
Dept. de Math., Nancy I Univ., France
Abstract :
We study the boundary feedback stabilisation of an Euler-Bernoulli beam with an endmass. It is shown that for Euler-Bernoulli beam equation with an endmass, the usual boundary feedback are largely sufficient for obtaining the uniform stabilisation when applied to the end without mass. In the case of a clamped beam, higher order boundary feedback are necessary and sufficient for obtaining the uniform stabilisation
Keywords :
closed loop systems; elasticity; feedback; perturbation techniques; stability; Euler-Bernoulli beam; boundary feedback stabilisation; clamped beam; closed loop systems; compact perturbation; elasticity; endmass; hybrid system; uniform decay; uniform stabilisation; Boundary conditions; Ear; Eigenvalues and eigenfunctions; Elasticity; Equations; Feedback; Hilbert space;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325420
