A "neutral" or cushioning shoe is made for both those with a neutral walking or running gait and for those who supinate (or roll outwards in their gait. If the wear on your sneakers looks even on both the inside and outside heel, you are probably a neutral runner.
A "stability shoe" is one that helps with pronation control. This type of shoe is designed with technology such as a Rollbar, TS2, Extended Web, Stabilicore or medial and lateral posts. If the wear on your sneakers is mostly on the inner tread near the ball of the foot, you might need stability control.
A "motion control shoe" is one that helps with moderate to severe pronation. This type of shoe will have the Rollbar technology combined with the medial and lateral posts. If there is severe wear on your sneakers on the inner tread near the ball of the foot, you might need motion control.