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

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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https://hal.archives-ouvertes.fr/hal-01982662
Contributor : Guillaume Olive <>
Submitted on : Wednesday, February 20, 2019 - 9:28:40 PM
Last modification on : Saturday, February 23, 2019 - 1:12:04 AM

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  • HAL Id : hal-01982662, version 2

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Long Hu, Guillaume Olive. Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. 2019. ⟨hal-01982662v2⟩

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