Uniform stabilization of a multilayer Rao-Nakra sandwich beam
We consider the problem of boundary feedback stabilization of a multilayer Rao-Nakra sandwich beam. We show that the eigenfunctions of the decoupled system form a Riesz basis. This allows us to deduce that the decoupled system is exponentially stable. Since the coupling terms are compact, the exponential stability of the coupled system follows from the strong stability of the coupled system, which is proved using a unique continuation result for the overdetermined homogenous system in the case of zero feedback.
Applied Mathematics | Control Theory | Physical Sciences and Mathematics
Recommended Repository Citation
Ozer, Ahmet Ozkan and Hansen, Scott. (2013). Uniform stabilization of a multilayer Rao-Nakra sandwich beam. Evolution Equations & Control Theory, 2 (4).
Available at: https://digitalcommons.wku.edu/math_fac_pub/41