Delay-dependent stability and H ∞ control for uncertain discrete switched singular systems with time-delay

The robust stability, robust stabilization and H ∞ control problems for time-delay discrete switched singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the switched singular system is transformed into a switched standard linear system, and delay-dependent linear matrix inequality (LMI) conditions for the time-delay discrete-time switched singular systems to be regular, causal and uniformly asymptotically stable; uniformly robust asymptotically stable with γ-disturbance attenuation are obtained, respectively. With these conditions, robust stabilization problem and robust H ∞ control problem are solved based on LMIs.