The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws
Optimization and Control
2024-10-22 v2
Abstract
In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property.
Keywords
Cite
@article{arxiv.2403.20113,
title = {The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws},
author = {Long Hu and Guillaume Olive},
journal= {arXiv preprint arXiv:2403.20113},
year = {2024}
}