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Uniform Stabilization of a Hybrid System of Elasticity with Variable Coefficients

Naji Yebari, Driss Aouragh

Abstract


In the case of a hinged beam we study the boundary feedback stabilization of the well known Scole model with variable coefficients. We show that there is a sequence of generalized eigenfunctions which forms a Riesz basis for the state Hilbert space. The spectrum determined growth condition, the exponential stability and an asymptotic expression of the spectrum are established. We use a finite difference method to study numerically the spectrum of these boundary operators. Numerical results are also illustrated. This paper generalize the results in [7].

Keywords


Beams, linear elasticity, asymptotic analysis, Stabilization of systems by feedback.

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