TY - JOUR
T1 - Boundary feedback stabilization of a three-layer sandwich beam
T2 - Riesz basis approach
AU - Wang, Jun Min
AU - Guo, Bao Zhu
AU - Chentouf, Boumediène
PY - 2006/1
Y1 - 2006/1
N2 - 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.
AB - 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.
KW - Exact controllability
KW - Exponential stability
KW - Riesz basis
KW - Sandwich beam
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U2 - 10.1051/cocv:2005030
DO - 10.1051/cocv:2005030
M3 - Article
AN - SCOPUS:33645769269
SN - 1292-8119
VL - 12
SP - 12
EP - 34
JO - ESAIM - Control, Optimisation and Calculus of Variations
JF - ESAIM - Control, Optimisation and Calculus of Variations
IS - 1
ER -