Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach
Jun-Min Wang, Bao-Zhu Guo, Boumediène Chentouf (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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...