Null controllability and finite-time stabilization in minimal time of one-dimensional first-order $2 \times 2$ linear hyperbolic systems - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2020

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

Guillaume Olive
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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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Dates and versions

hal-02983321 , version 1 (29-10-2020)

Identifiers

  • HAL Id : hal-02983321 , version 1

Cite

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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