Boundary stabilization of a microbeam model
Patricio Guzmán · Mathematical Methods in the Applied Sciences · 2020
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,2that 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.