PreprintCC BY 4.0arXiv
Comment on "Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality"
Abstract
This comment revisits Lemma 1 in [1], which plays a central role in the event-triggered stabilization analysis developed therein. We identify technical gaps in the proof of the lemma and provide a corrected argument. In particular, careful treatment of the exponentially decaying term shows that its decay rate must be retained in the resulting convergence estimate. The statement of the original lemma, with the exponential decay rate determined by the minimum of the characteristic decay rate and the decay rate of this term, remains valid.
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BibTeX
@misc{jonker2026comment,
title = {{Comment on "Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality"}},
author = {Luke Jonker and Kexue Zhang},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30885},
eprint = {2608.30885},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30885},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Comment on "Event-Triggered Stabilization of Linear Time-Delay Systems via Halanay-Type Inequality"
AU - Luke Jonker
AU - Kexue Zhang
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30885
UR - https://arxiv.org/abs/2608.30885
AB - This comment revisits Lemma 1 in [1], which plays a central role in the event-triggered stabilization analysis developed therein. We identify technical gaps in the proof of the lemma and provide a corrected argument. In particular, careful treatment of the exponentially decaying term shows that its decay rate must be retained in the resulting convergence estimate. The statement of the original lemma, with the exponential decay rate determined by the minimum of the characteristic decay rate and the decay rate of this term, remains valid.
ER -