This chapter deals with the problem of asymptotic estimation of reachable set for 2-D time-delay systems with exogenous disturbances. The directional time-varying delays are confined within certain ranges and the input disturbances are assumed to belong to energy-type norm bounded spaces. Based on an analysis scheme extended from the Lyapunov–Krasovskii functional method, and by utilizing some 2-D weighted summation inequalities presented in this chapter combining with advance techniques to handle interval time-varying delays, delay-dependent conditions in terms of tractable linear matrix inequalities are derived to ensure the existence of an ellipsoid that attracts exponentially the system states in the presence of bounded disturbances. An application to exponential stability of 2-D systems with delays is also presented. The effectiveness of the obtained results are illustrated by numerical examples.