Abstract
In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss class as well as the exact controllability are also addressed.
Original language | English |
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Pages (from-to) | 12-34 |
Number of pages | 23 |
Journal | ESAIM - Control, Optimisation and Calculus of Variations |
Volume | 12 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2006 |
Keywords
- Exact controllability
- Exponential stability
- Riesz basis
- Sandwich beam
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Computational Mathematics