Give some real thought before planting these aggressive plant in you garden as they my take more control then you wish.
Chinese Lanterns—are aggressive plant and are great for dried arrangements, but the plant spreads quickly via its underground stems. Once this plant is established you can spend years trying to eliminate it from you garden.
Common Yarrow—is a perennial that can be found listed in both weed and perennial books. This blooming beauty tolerates hot, dry conditions and readily reseeds and spreads. Very difficult to eliminate from your garden and you might want to select a less aggressive species that do not reseed.
Ribbon Grass—is a vigorous grower and is a 3 foot tall cream and green striped grass spreads by rhizomes. Once it takes hold, it will weave itself throughout the garden and crowding out other perennials.
Giant Silver Banner Grass—is an aggressive ornamental grass. Grows 5 to 6 feet tall and can quickly fill the garden, swale or any area where it is planted. Be careful where you plant as it can take over any surrounding areas even wet or critical area spaces.
Moneywort—is a ground hugger that tolerates sun and shade as well as wet soils. Yellow flowers resembling buttercup tops the coin-shaped green leaves in late spring. The yellow cultivar Aurea is a bit aggressive than the species. Avoid using moneywort near natural waterways, and be prepared to do a bit of weeding to control it.
Gooseneck loosestrife—a close relative to moneywort and is another aggressive grower. The slender white spiky flowers are curved, hence their name. If planted in your garden be prepared to lift and divide yearly to keep it in check.
Ajuga—is a popular ground cover recommended for shady locations. This vigorous grower will expand into other garden areas including sunny locations. Consider less aggressive cultivars, or us a physical edge, walk or other barrier o keep contained.
Obedient Plant—unlike its name, it does not behave. This rapidly spreading plant is 2 to 4 feet tall and blooms in late summer and fall. Plant his is your perennial garden only if you can keep it in check.