Null controllability and finite-time stabilization in minimal time of one-dimensional first-order $2 \times 2$ linear hyperbolic systems
Optimization and Control
2020-10-30 v1 Analysis of PDEs
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 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.
Keywords
Cite
@article{arxiv.2010.15664,
title = {Null controllability and finite-time stabilization in minimal time of one-dimensional first-order $2 \times 2$ linear hyperbolic systems},
author = {Long Hu and Guillaume Olive},
journal= {arXiv preprint arXiv:2010.15664},
year = {2020}
}
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