<p>This paper investigates the problems of finite-time stability and dissipative control for two-dimensional discrete singular systems with time-varying delays. Existing finite-region dissipative frameworks mainly focus on regular (nonsingular) two-dimensional systems, and thus cannot be directly extended to singular models due to the presence of algebraic constraints. Meanwhile, previous studies on singular systems define finite-region boundedness only partially, typically in terms of descriptor-projected states, guaranteeing stability for a subset of state variables rather than the entire system. To overcome this limitation, a new concept of global finite-time boundedness and dissipativity is proposed. By employing a quadratic Lyapunov function, a descriptor variable transformation, and refined inequality estimation techniques, new delay-dependent linear matrix inequality (LMI) conditions are derived to ensure admissibility, regularity, and global finite-time (<i>Q</i>,&#xa0;<i>S</i>,&#xa0;<i>R</i>)-dissipativity. Furthermore, a state-feedback controller is designed to guarantee global finite-time dissipative performance of the closed-loop system. Compared with existing results, the proposed approach provides a complete characterization of the full state vector and is applicable to a more general class of singular two-dimensional systems with time-varying delays. The proposed approach establishes a unified and computationally efficient framework that avoids Jensen-type and reciprocally convex inequalities while enlarging the admissible delay bounds and improving dissipative performance levels, thereby reducing conservatism. Numerical examples are provided to demonstrate the validity and effectiveness of the theoretical results.</p>