Liriope muscari

Liriope muscari is a species of flowering plant from East Asia. Common names in English include big blue lilyturf, lilyturf, border grass, and monkey grass. This small herbaceous perennial has grass-like evergreen foliage and lilac-purple flowers which produce single-seeded berries on a spike in the fall. It is invasive to North America and considered a threat to native wildlife....read more on Wikipedia.