  This note studies a network of agents having continuous-time dynamics with
quantized interactions and time-varying directed topology. Due to the
discontinuity of the dynamics, solutions of the resulting ODE system are
intended in the sense of Krasovskii. A limit connectivity graph is defined,
which encodes persistent interactions between nodes: if such graph has a
globally reachable node, Krasovskii solutions reach consensus (up to the
quantizer precision) after a finite time. Under the additional assumption of a
time-invariant topology, the convergence time is upper bounded by a quantity
which depends on the network size and the quantizer precision. It is observed
that the convergence time can be very large for solutions which stay on a
discontinuity surface.
