We eat the small shoots in spring and then just keep cutting it down just before it flowers. Every time it grows back a little bit smaller and weaker. By the end of summer the shoots are smaller than a pencil in diameter. I wonder if you planted a fast growing cover crop like buckwheat, if you could out compete it enough to kill it off?
On the other hand, it does produce a lot of biomass that does seem to breakdown easily. Might be a good
compost additive. AND drying the stalks would make some nice hollows for Mason Bees to live.