Boundary feedback exponential stabilization of a Timoshenko beam with both ends free
Author:
- 10 March 2005
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 78 (4) , 286-297
Abstract
In the present paper we consider the boundary feedback stabilization of a Timoshenko beam with both ends free. We propose boundary feedback control law that makes the closed loop system dissipative. Using asymptotic analysis techniques, we give explicit asymptotic formula of eigenvalues of the closed loop system, and prove the Riesz basis property of eigenvectors and generalized eigenvectors. By a detailed analysis of spectrum of the closed loop system, we show that the closed system is exponentially stable.Keywords
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