This paper deals with the problem of model
reduction by moment matching for linear differential inclusions.
The problem is formally formulated and the notions of moment-
set, perturbed moment trajectory, approximate reduced order
model and robust reduced order model are introduced. Two
sets of results are presented. The first part of the paper deals
with robustness of the reduced order models with respect to
input perturbations. Exploiting this result an enhanced model
reduction scheme for linear differential equations is presented.
In the second part of the paper we focus on the problem of
model reduction by moment matching for time-varying systems
driven by time-varying signal generators. Finally, these two sets
of results are used to solve the problem of model reduction
for linear differential inclusions. The results are illustrated by
means of numerical examples.