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PreprintarXiv licencearXiv

A Candidate Counterexample to a Conjecture on ISS for Time-Delay Systems

  • Vittorio De Iuliis
  • Pierdomenico Pepe
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Abstract

We present a candidate counterexample to a conjecture stating that the existence of a Lyapunov-Krasovskii functional with a pointwise dissipation rate is sufficient for the input-to-state stability of time-delay systems. The counterexample has been derived through interactions with large language models.

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Cite

BibTeXRIS
BibTeX
@misc{iuliis2026candidate,
  title = {{A Candidate Counterexample to a Conjecture on ISS for Time-Delay Systems}},
  author = {Vittorio De Iuliis and Pierdomenico Pepe},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22491},
  eprint = {2609.22491},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22491},
}
RIS
TY  - UNPB
TI  - A Candidate Counterexample to a Conjecture on ISS for Time-Delay Systems
AU  - Vittorio De Iuliis
AU  - Pierdomenico Pepe
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.22491
UR  - https://arxiv.org/abs/2609.22491
AB  - We present a candidate counterexample to a conjecture stating that the existence of a Lyapunov-Krasovskii functional with a pointwise dissipation rate is sufficient for the input-to-state stability of time-delay systems. The counterexample has been derived through interactions with large language models.
ER  -