Fanaelialae
Legend
I can't point to a specific source, and the DMG is pretty vague on it but if I am not mistaken the designers themselves have posted somewhere that an encounter does not (maybe read as shouldn't) end if someone is in a dying condition.
I can understand your skepticism but maybe some kind sould out there can find a link. I'll see if I can find it too.
FWIW I seem to recall reading that somewhere, myself. I don't recall where though.
Still, once you stabilize any dying allies you should be able to take a short rest regardless (I personally go by the house rule that allies auto-stabilize at the end of a fight, because I find that dying after a fight is rather anti-climactic).