Stabilization for a Class of Discrete-Time Switched Linear Singular Systems
In this paper, the stabilization problem is studied by using multiple Lyapunov function techniques for a class of discrete-time switched linear singular (DSLS) systems. The existing criteria of stability for continuous-time switched singular systems are extended into DSLS systems. Then, a hybrid switching law is designed based on a partition of state space by using S-procedure method.
B. Men et al., "Stabilization for a Class of Discrete-Time Switched Linear Singular Systems", Key Engineering Materials, Vols. 480-481, pp. 1406-1411, 2011