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Null controllability and finite-time stabilization in minimal time of one-dimensional first-order $2 \times 2$ linear hyperbolic systems

Abstract : The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order $2 \times 2$ linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.
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https://hal.archives-ouvertes.fr/hal-02983321
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Submitted on : Thursday, October 29, 2020 - 4:25:54 PM
Last modification on : Tuesday, November 10, 2020 - 3:05:21 AM
Long-term archiving on: : Saturday, January 30, 2021 - 6:29:16 PM

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  • HAL Id : hal-02983321, version 1

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Long Hu, Guillaume Olive. Null controllability and finite-time stabilization in minimal time of one-dimensional first-order $2 \times 2$ linear hyperbolic systems. 2020. ⟨hal-02983321⟩

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