Stability and passivity analysis for singular systems with time-varying delay

This paper studies the stability of a class of time-varying delay singular systems. A new criterion for the stability of time-varying delay singular systems is derived by using the Lyapunov stability theory and linear matrix inequality. Then a passivity theorem is investigated. It is worth mentioning that the derivative of the time-varying delay do not need to be smaller than one. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.