In this article we study the minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems when all the controls are acting on the same side of the boundary. We establish an explicit and easy-to-compute formula for this time with respect to all the coupling parameters of the system. The proof relies on the introduction of a canonical UL–decomposition and the compactness-uniqueness method.

中文翻译：

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一面边界控制一维一阶线性双曲系统精确控制的最短时间

在本文中，我们研究了当所有控制都作用于边界的同一侧时一维一阶线性双曲系统精确控制的最短时间。这次，我们针对系统的所有耦合参数建立了一个明确且易于计算的公式。证明依赖于规范的UL分解和紧凑唯一性方法的引入。