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

摘要

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.