  It is known that in general, \emph{frozen equivalent} (Linear
Parameter-Varying) LPV models, \emph{i.e.}, LPV models which have the same
input-output behavior for each constant scheduling signal, might exhibit
different input-output behavior for non-constant scheduling signals. In this
paper, we provide an analytic error bound on the difference between the
input-output behaviors of two LPV models which are frozen equivalent. This
error bound turns out to be a function of both the speed of the change of the
scheduling signal and the discrepancy between the coherent bases of the two LPV
models. In particular, the difference between the outputs of the two models can
be made arbitrarily small by choosing a scheduling signal which changes slowly
enough. An illustrative example is presented to show that the choice of the
scheduling signal can reduce the difference between the input-output behaviors
of frozen-equivalent LPV models.
