Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls
Optimization and Control
2019-02-22 v2 Analysis of PDEs
Abstract
In this article we study the minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems when all the controls are acting on the same side of the boundary. We establish an explicit and easy-to-compute formula for this time with respect to all the coupling parameters of the system. The proof relies on the introduction of a canonical -decomposition and the compactness-uniqueness method.
Keywords
Cite
@article{arxiv.1901.06005,
title = {Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls},
author = {Long Hu and Guillaume Olive},
journal= {arXiv preprint arXiv:1901.06005},
year = {2019}
}
Comments
Added reference [Wec82], comparison with it (in particular, Appendix B). Added counterexample if the assumption of [Rus78] is not satisfied (Appendix C). Added Figures. Corrected typos