Tony Vargas
Legend
Ongoing damage isn't inapropriate for controllers, but tacking it onto a power doesn't make it a 'controller power.' It's important to recall that the controller role is not exclusively about inflicting conditions or restricting enemy options. The PH definition of the controller is broader than that. Monster controllers are more focused on inflicting conditions, including ongoing damage. They're different from PC controllers. Monsters, for instance, don't often need to sweep minions away with AE attacks. 
Ongoing damage could be seen as exercising some 'control.' It puts an enemy under pressure - it's taking damage every round, and that might alter it's behavoir. In a strict mechanical or metagame sense, it probably won't alter it much (if anything, it might encourage a monster to go more heavily offensive, since it has 'less time to win the battle'), but if the DM runs monsters in a more considered way, they might react to it with rage, fear, or whatever.

Ongoing damage could be seen as exercising some 'control.' It puts an enemy under pressure - it's taking damage every round, and that might alter it's behavoir. In a strict mechanical or metagame sense, it probably won't alter it much (if anything, it might encourage a monster to go more heavily offensive, since it has 'less time to win the battle'), but if the DM runs monsters in a more considered way, they might react to it with rage, fear, or whatever.