A system of |$N$| Korteweg–de Vries equations coupled by the boundary conditions is considered in this paper. The configuration studied here is the one called star-shaped network, where the boundary inputs can act on a central node and on the |$N$| external nodes. In the literature, there is a recent result proving the exact controllability of this system by using |$(N+1)$| controls. We succeed to remove the input acting on the central node and consequently we obtain the exact controllability with |$N$| inputs.

中文翻译：

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星形网络上Korteweg-de Vries方程的边界可控性

的系统| $ N $ | 本文考虑了边界条件耦合的Korteweg-de Vries方程。此处研究的配置是一种称为星形网络的配置，其中边界输入可以作用在中央节点和| $ N $ |上。外部节点。在文献中，有最近的结果通过使用| $（N + 1）$ |证明了该系统的确切可控性。控件。我们成功删除了作用在中央节点上的输入，因此我们获得了| $ N $ |的精确可控性。输入。