Have used Habitat herbicide on them in the fall with a lot more success than Gly and Rodeo type products.The key with any herbicide on them will be complete coverage which can be difficult to do.Habitat has elimunated them for us where as Gly products severely reduced them.Either way youll need to remove the leftover carbon as it will remain. Have tried burning the remains off and this did not work well as most of the plant remains after burning. We use a Stihl string trimmer with a brush blade to cut off at ice level after herbicide treatment.You may find the ice very thin around the cattails as it normally does not produce ice in those areas like the open areas . We cut and then haul out by hand.Some of the more severe infestations that we have treated have now been clean for six years with a Habitat treatment. Be sure to check to see what products are labled in your area as it can vary greatly.