A low-power wireless network involves a plurality of RF-enabled fluorescent lamp starter units. In each of a plurality of intervals, a receiver of a starter unit operates in a receive mode during a beacon slot time, and for the majority of the rest of the interval operates in a low-power sleep mode. The starter unit wakes up and listens for a beacon each beacon slot time, regardless of whether a beacon is transmitted during that interval or not. A starter unit can be commanded to schedule a future action (for example, for a time between widely spaced synchronizing beacons) by making one of the beacons a scheduling beacon. The scheduling beacon includes a field that the starter unit uses to schedule the future action. If the scheduled action is to be canceled before the next widely spaced synchronizing beacon, then an action-canceling beacon is communicated in the next interval.