Boundary stabilization of a microbeam model |
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Authors: | Patricio Guzmán |
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Affiliation: | Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaíso, Chile |
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Abstract: | In this paper, we study the boundary stabilization of the deflection of a clamped-free microbeam, which is modeled by a sixth-order hyperbolic equation. We design a boundary feedback control, simpler than the one designed in Vatankhah et al,2 that forces the energy associated to the deflection to decay exponentially to zero as the time goes to infinity. The rate in which the energy exponentially decays is explicitly given. |
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Keywords: | boundary stabilization exponential energy decay hyperbolic equation Lyapunov techniques microbeam model |
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