Robust stability analysis for uncertain neutral type descriptor systems with mixed delays

Abstract

The issue of robust stability here is carefully thought about for uncertain neutral type descriptor systems (NTDSs) with mixed delays. An augmented Lyapunov–Krasovskii functional considering the cross information of the singular matrix and state delay derivative is constructed. With the help of the zero‐value equation technique and an improved matrix inequality, a novel delay‐dependent admissible criterion is developed to make sure of the regularity, non‐impulsiveness, and stability of the NTDSs. On this basis, the robust stability of the uncertain NTDSs is further explored, and a novel robust stability criterion is developed. These criteria have less conservatism. Through three number‐based examples, some comparisons are provided to show the superiority and effectiveness of our method.