Stability analysis of uncertain switched singular time-delay systems with discrete and distributed delays

The issues of stability analysis of a class of continuous uncertain switched singular time‐delay systems consisting of discrete and distributed delays is investigated in this paper. Based on the LMIs, constructing the new extended Lyapunov‐like Krasovskii functional, and the average dwell‐time approach, delay‐dependent sufficient conditions are derived to check the stability of such systems. By solving the corresponding LMIs, the average dwell‐time and switching signal condition are obtained. This paper also highlights the relationship between the average dwell‐time of the switched singular time‐delay system, exponential rate of differential, and algebraic states. Two numerical examples show the effectiveness of the proposed design method.