Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 27 (2021), article no. 96

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 × 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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DOI : 10.1051/cocv/2021091
Classification : 35L40, 93B05, 93D15, 45D05
Keywords: Hyperbolic systems, Boundary controllability, Minimal control time, Backstepping method, Titchmarsh convolution theorem 
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Hu, Long; Olive, Guillaume. Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 27 (2021), article no. 96. doi: 10.1051/cocv/2021091

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