This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions on the boundary conditions on the other side, we previously established the optimal time for the null and the exact controllability for this system for a generic source term. In this work, we prove the null-controllability for any time greater than the optimal time and for any source term. Similar results for the exact controllability are also discussed.

中文翻译：

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一维空间中线性双曲系统的零可控性

本文致力于通过一侧的边界控制在一个空间维度上控制一般线性双曲系统。在另一边的边界条件的精确和通用假设下，我们先前为通用源项确定了零点的最佳时间以及该系统的确切可控性。在这项工作中，我们证明了大于最佳时间的任何时间以及任何源项的零可控性。还讨论了精确控制的相似结果。