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arXiv · 1901.06005

Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls

Long Hu·Guillaume Olive
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Abstract

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.

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Long Hu, Guillaume Olive. 2019-01-17. Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. https://doi.org/10.1016/j.matpur.2021.02.009

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