On the Energy Decay of a Nonhomogeneous Hybrid System of Elasticity
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In this paper, we study the boundary stabilizing feedback control problem of well-known Scole model that has nonhomogeneous spatial parameters. By using an abstract result of Riesz basis, we show that the closed-loop system is a Riesz spectral system. The asymptotic distribution of eigenvalues, the spectrum-determinded growth condition and the exponential stability are concluded.
KeywordsEuler-Bernoulli beam Boundary control Stabilization Riesz basis
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