The problem of stability for a class of switched singular systems with time-delay is considered. A new multiple
Lyapunov functional is constructed for discussing switched singular systems with time-delay. By applying the Lyapunov
stability theory and the linear matrix inequality(LMI) tools and introducing some proper free-weighting matrices, some
delay-dependent stability criteria for switched singular systems with time-delay are derived under an appropriate switching
law in terms of strict LMIs. Furthermore, a convex optimization problem with LMIs constraints is formulated, such that the
maximum upper bound on the admissible delay can be determined by using the LMI toolbox in Matlab. Numerical examples
show the effectiveness of the proposed method.