Plenty of worker control and ownership. If you want to get technical I'd say it's a mixture of state socialism (only other example: Yugoslavia) and anarchism.
held together by military with child soldiers.
You mean the less than 200 16-18yolds which were demobilised like ten years ago.
The thing is that the YPG is organised horizontally, tons of independent militias and in some locales 16yold bearing arms was understood as being completely kosher, so it happened, and then the larger structure and the world got wind of it, and not doing it was added to the memorandum of understanding between all the sub militias.
There might be some technical gripes as the YPG is not officially a state actor and according to the letter of international law only states are allowed to recruit 15yolds into the military (for non-combat roles), and you can join the YPG with 16, but frankly speaking that's not really an argument, it can be countered by saying "de facto" a lot.
You, OTOH, make it sound as if it were some African warlord with boot camps for 10yolds they raided as slaves. The situation is quite different, it was teens saying "ISIS killed my family I want a rifle to fuck them up". And TBF there's practically nothing more lethal than a 17yold gal with a sniper rifle and a grudge.