An improved stability criterion for singular systems with time-varying delay via a relaxed integral inequality

This paper concerns the stability problem of singular systems with time-varying delay. According to different delay-partition intervals, an augmented Lyapunov-Krasovskii functional with delay cross terms is constructed. Based on it, using the relaxed integral inequality technique is to obtain a less conservative stability criterion. As a result, two numerical examples are provided to demonstrate the effectiveness of the proposed method.