In this paper, we consider a one-dimensional system governed by two partial differential equations. Such a system models phenomena in engineering, such as vibrations in beams or deformation of elastic bodies with porosity. By using the HUM method, we prove that the system is boundary exactly controllable in the usual energy space. We will also determine the minimum time allowed by the method for the controllability to occur.

中文翻译：

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多孔弹性Timoshenko系统的边界精确可控性

在本文中，我们考虑由两个偏微分方程控制的一维系统。这样的系统模拟工程中的现象，例如梁中的振动或具有孔隙率的弹性体的变形。通过使用HUM方法，我们证明了系统在通常的能量空间中是边界精确可控的。我们还将确定该方法允许发生可控性的最短时间。