This paper is concerned with the stability of the set of trajectories
of a patchy vector field, in the presence of impulsive
perturbations.
Patchy vector fields are
discontinuous, piecewise smooth vector fields
that were introduced in Ancona and Bressan (1999)
to study feedback stabilization problems.
For patchy vector fields in the plane, with polygonal
patches in generic position, we show that the distance
between a perturbed trajectory and an unperturbed one
is of the same order of magnitude as the impulsive forcing term.