They are invasive, tenacious, prolific self propagators....tho you can keep them cut down/confined with the mower.
You can pull them up pretty easily, especially when small/young, but it's difficult to get ALL the rhizomes(I think it's a rhizome?) out, so they will keep coming up. The ones in my garlic bed were planted 10-12 years ago. I left a row of them along the north side of the bed to shade the run and harvested branches for the chooks to eat.
I transplanted a bunch along my roadway 'ditch' where I didn't want to mow, they make a nice screen and the sunflower like flowers are striking for about a week or so. My father family was mad for Jerusalem Artichoke Relish(YUK) and I've heard that they slice up nice for stirfry compared to water chestnuts for texture and crispness...I've never personally eaten them, not much of a cook.