  The mechanical model of a thin plate with boundary control and observation is
presented as a port-Hamiltonian system (pHs), both in vectorial and tensorial
forms: the Kirchhoff-Love model of a plate is described by using a Stokes-Dirac
structure and this represents a novelty with respect to the existing
literature. This formulation is carried out both in vectorial and tensorial
forms. Thanks to tensorial calculus, this model is found to mimic the
interconnection structure of its one-dimensional counterpart, i.e. the
Euler-Bernoulli beam. The Partitioned Finite Element Method (PFEM) is then
extended to obtain a suitable, i.e. structure-preserving, weak form. The
discretization procedure, performed on the vectorial formulation, leads to a
finite-dimensional port-Hamiltonian system. This part II of the companion paper
extends part I, dedicated to the Mindlin model for thick plates. The thin plate
model comes along with additional difficulties, because of the higher order of
the differential operator under consideration.
