Spinoff: Sennheiser, Bose especially ... they have active noise cancellation with headphones. Now think of a big, bold woofer with a microphone before its cone. The mike provides the only input signal to the woofer. In a (negative) feedback loop the woofer would attenuate all sound in front of it. There you have it, active room mode cancellation. The woofer would act like a 'black hole' for sound, within its limits in frequency mostly.
Practical design: a huge sheet of neoprene driven by a bass shaker ... for the die-hard DIYers, have fun!