Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: De Iuliis, Vittorio, Pepe, Pierdomenico
Institutions: San Raffaele University of Rome, University of L'Aquila
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214049887
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