If movement is not stopped, but only prohibited when moving directly from one zone of control space to another, this is termed "semi-rigid".
[1] Some zone of control rules require enemy units must be attacked.
A couple of wargames even have zones of control partially affect friendly units, representing traffic congestion on nearby roads and access routes.
Some games also have zones of control block retreats from combat, or interdict supply lines.
[5][2] Zones of control are also present in some strategy computer games, such as the Civilization series.