paper

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

arXiv:2609.22491

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.

8 pages, 1 figure