  In data-driven analysis and control, the so-called Fundamental Lemma by
Willems et al. has gained a lot of interest in recent years. Using behavioural
system theory, the Fundamental Lemma shows that the full system behaviour of a
Linear Time-Invariant (LTI) system can be characterised by a single sequence of
data of the system, as long as the input is persistently exciting. In this
work, we aim to generalize this LTI result to Linear Parameter-Varying (LPV)
systems. Based on the behavioural framework for LPV systems, we prove that one
can obtain a result similar to Willems'. This implies that the result is also
applicable to nonlinear system behaviour that can be captured with an LPV
representation. We show the applicability of our result by connecting it to
earlier works on data-driven analysis and control for LPV systems.
