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PreprintarXiv licencearXiv

Minimal control time of some 1D first-order linear hyperbolic systems with row rank deficient boundary coupling matrix

Abstract

The minimal control time of one-dimensional first-order linear hyperbolic systems is by now well-known when the boundary coupling matrix is full row rank. The goal of this article is to characterize the minimal control time for a class of systems with row rank deficient boundary coupling matrices.

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BibTeX
@misc{hu2026minimal,
  title = {{Minimal control time of some 1D first-order linear hyperbolic systems with row rank deficient boundary coupling matrix}},
  author = {Long Hu and Guillaume Olive and Zengzhi Xin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00140},
  eprint = {2610.00140},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00140},
}
RIS
TY  - UNPB
TI  - Minimal control time of some 1D first-order linear hyperbolic systems with row rank deficient boundary coupling matrix
AU  - Long Hu
AU  - Guillaume Olive
AU  - Zengzhi Xin
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.00140
UR  - https://arxiv.org/abs/2610.00140
AB  - The minimal control time of one-dimensional first-order linear hyperbolic systems is by now well-known when the boundary coupling matrix is full row rank. The goal of this article is to characterize the minimal control time for a class of systems with row rank deficient boundary coupling matrices.
ER  -