A plant will shed its leaves, usually during the autumn months and through winter.
Mexican blue sage is a native of Mexico and in many references labels it cold hardy to USDA Zone 8, however, it has wintered over in Amarillo many years now, even in full northern exposure. It has died back to the ground once or twice, but comes back up from the roots. If good to well drained soil is provided, it should do fine. And I hope you can provide that, as Mexican blue sage is one of my top plants to include in xeric gardens. True bright blue flowers bloom summer and fall with once a month watering. Butterflies are attracted to it. Indispensable.
Lantana urticoides (horrida) is a native perennial, and cold hardy for most of the state, except for areas in the Texas Panhandle. In the Panhandle, several species of Lantana are sold as summer bedding plants. Blooms prolifically summer and fall. Colors normally available are red, red and yellow, yellow, white and purple or mauve. In rare cases they may winter over. In areas south, lantana will grow into a shrub. The blue/black fruit clusters are poisonous.
Western sand cherry is a shrub native to the northern plains favoring sandy soils. Cold and heat tolerant, and low water-use once established. Beautiful, fragrant white flowers in spring time, producing edible black cherries (however, some references advice not to eat the fruit if it is bitter).