As far as I know, the Bag End strategy is the same as what Carver is using. Quite simple, really--use a too-small box on purpose. This causes the sub to be well into its rolloff by the time you expect it to reproduce any sound. The trick is that the response is now totally predictable, a nice, even slope. At that point, you use a nice, even, matching boost to compensate and give the sub flat response. It takes a prodigious amount of power to keep this up for long, which is why Carver has a 2700W amp in his subs. If I recall correctly (it's late, and I'm way behind on sleep), the power requirements are x4 for every octave you drop with a normal sub. Now, on top of that, you've got to account for the amount of power needed to put muscle behind the boost.
It's really only an extension of the idea of taking a normal sub and boosting as it starts dropping out. The difference being that you allow the driver to have a normal-sized box, which allows it to be flat in the pass band until it begins a normal rolloff. The Bag End/Carver subs bypass flat response entirely, manipulating the frequency response curve from the word go.
I've done the second strategy before with stereo subs, each with four KEF B-139s. Boost kicked in as the KEFs rolled off, somewhere (help me here, Geoff) around 40-45Hz. Sounded great at lower volumes, but as you turned it up, you quickly exceeded the Xmax of the drivers and it got very, very muddy sounding. A buddy of mine has Kinergetics subs which, if I understand correctly, do the same thing. They, too, sound muddy as you turn up the volume. The quantity is there, but not the quality
It would be more practical now with Titanic/Shiva/NHT class drivers, since they have a much larger excursion. However, I've given up on the idea and intend to go with servo loops on my current subs, hopefully optical, if all works well. I'm having trouble finding the parts I want. There are other options, of course. Dedicated accelerometers (nifty, but expensive), various kinds of pressure sensors (not as flat in response as I'd like), and the old standby--piezo units (lotsa phase shift). If anyone is interested, I'll report later.
Grey
Oh, sorry, forgot to answer the other part--ELF stands for Extended Low Frequency.