  We study the non-autonomous version of an infinite-dimensional
port-Hamiltonian system on an interval $[a, b]$. Employing abstract results on
evolution families, we show $C^1$-well-posedness of the corresponding Cauchy
problem, and thereby existence and uniqueness of classical solutions for
sufficiently regular initial data. Further, we demonstrate that a dissipation
condition in the style of the dissipation condition sufficient for uniform
exponential stability in the autonomous case also leads to a uniform
exponential decay of the energy in this non-autonomous setting.
