  We study the Hall conductance in a Floquet topological insulator in the long
time limit after sudden switches of the driving amplitude. Based on a high
frequency expansion of the effective Hamiltonian and the micromotion operator
we demonstrate that the Hall conductance as function of the driving amplitude
follows universal non-analytic laws close to phase transitions that are related
to conic gap closing points, namely a logarithmic divergence for gapped initial
states and jumps of a definite height for gapless initial states. This
constitutes a generalization of the results known for the static systems to the
driven case.
