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We consider a boundary feedback stabilization problem of the plate equation in a square, in the case where the geometric condition of Ammari-Tucsnak (6) is not satisfied. We prove a polynomial decay for regular initial data. Moreover, we prove an exponential stability result for some subspace of the energy space. Finally, we give a precise estimate on the analyticity of reachable functions where we have an exponential stability.

Polynomial and Analytic Boundary Feedback Stabilization of Square Plate