Boundary Feedback Stabilization of a Three - Layer Sandwich Beam : Riesz Basis Approach
نویسندگان
چکیده
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. Mathematics Subject Classification. 93C20, 93D15, 35D10, 47B06. Received June 1, 2004. Accepted February 3, 2005.
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