Stability analysis for a class of neutral type singular systems with time-varying delay

This paper is concerned with the stability problem for a class of neutral type singular systems with time-varying delay. The considered systems contain delays both in their state and in their derivatives of state. Based on the singular system approach and the Lyapunov-Krasovskii functional approach, some sufficient conditions which guarantee the considered systems to be regular, impulse-free and stable are derived. Finally, some numerical examples are provided to show the effectiveness of the presented methods.