  In this paper, we present an interpolation framework for structure-preserving
model order reduction of parametric bilinear dynamical systems. We introduce a
general setting, covering a broad variety of different structures for
parametric bilinear systems, and then provide conditions on projection spaces
for the interpolation of structured subsystem transfer functions such that the
system structure and parameter dependencies are preserved in the reduced-order
model. Two benchmark examples with different parameter dependencies are used to
demonstrate the theoretical analysis.
