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.

中文翻译：

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微束模型的边界稳定

在本文中，我们研究了由六阶双曲方程建模的无夹钳微梁挠度的边界稳定。我们设计了一种边界反馈控制，它比Vatankhah等人[ ^2]中设计的边界反馈控制要简单，该控制迫使与偏转相关的能量随着时间到达无穷大而指数衰减至零。明确给出了能量呈指数衰减的速率。