  We prove a novel Lyapunov-based small-gain theorem for networks of $ n \geq 2
$ hybrid systems which are not necessarily input-to-state stable. This result
unifies and extends several small-gain theorems for hybrid and impulsive
systems proposed in the last few years. We also show how average dwell-time
(ADT) clocks and reverse ADT clocks can be used to modify the Lyapunov
functions for subsystems and to enlarge the applicability of the derived
small-gain theorems.
