http://www.ehow.com/how_2072149_kill-kudzu.html
The kudzu is an extremely aggressive vine that grows at a rate of almost a foot a day and quickly encompasses an ever-expanding area, killing everything as it goes.
Once promoted to stop soil erosion, it has been downgraded to an evasive species which costs the US $500 million per year in lost farm ground.
Some claim it cannot be stopped. It can, but it often takes a lot of persistence. (read more about it at the web site listed above)