Controlled feed is when the bolt is closing, it picks up the round from the chamber, and holding it tight to the boltface, it chambers when the bolt is closed. The push feed pops the round out of the magazine and the boltface locks around the rim when the bolt is closed. basicly with the CRF you can push the bolt forward, then back, and the round will come out with the bolt because it is attached to it, the push feed bolt will leave the round loose. The "claw" extractor is part of the CRF system, it is what hold the cartridge against the boltface.
Not sure about the brownings, the mauser 98, springfield 03, winchester pre64 and classic model 70 are all CRF, there are others too. Some people are really sold on the CRF, im not one of them. IF it was a dangerous game rifle, maybe, but for me ill be happy with CRF for all of the hunting i do. Winchester made a smart move when they reintroduced the CRF, as lots of people seem to think it is really important. Dont get me wrong, my favorite rifle is CRF, but i dont see any advantage at all for a non dangerous game hunting rifle. Id buy a pushfeed winchester everytime over a CRF if it cost less.