In this chapter, the problems of stability and dissipativity analysis in finite-region are developed for two-dimensional (2-D) singular Roesser systems with mixed time-varying delays. Finite-region boundedness and dissipativity concepts are proposed and taken into consideration. Based on a 2-D Lyapunov–Krasovskii functional (LKF) method via weighted LKF candidates, and by utilizing zero-type free matrix equations, delay-dependent conditions are derived in the form of linear matrix inequalities (LMIs) to guarantee the finite-region stability and dissipativity of the system with respect to quadratic supplied rate functions. Numerical examples are given to illustrate the effectiveness of the obtained analysis results.