Is it river cane?
Seems like IIRC that Crossbow brand defoliant works on broadleaf plants. It isn't cheap but might be worth a try.
Roundup will usually kill any plant except mosses and lichens. Did you mix it one and a half ounces to two oz. to the gallon of water?
And round up may take a week or more to produce results.
Works best for me if I spray on a hot dry afternoon. Plants respond to it like rain and soak it up.
Roundup won't kill nutgrass and others. 2-4-D is the cheapest broadleaf killer. Avail. at Tractor Supply.