Data-driven representation of continuous-time linear time-invariant behaviors via Hankel integral operators

arXiv cs.SY2026-11-09 13:000 views

arXiv:2611.09530v1 Announce Type: cross Abstract: We present a data-driven representation of the finite-horizon behavior of deterministic controllable continuous-time LTI systems. We first introduce a notion of persistency of excitation for continuous-time signals that does not require the signal to be differentiable. We then show that, when the input is persistently exciting in this sense, the closure of the range of a Hankel integral operator built from a single input-output trajectory equals the behavior of the system over a finite time horizon. This result provides a nonparametric representation of system trajectories directly in terms of measured data, without requiring an explicit parametric model of the system.

Source：https://arxiv.org/abs/2611.09530

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