Further Improvement for Admissibility Analysis of Singular Time-Delay Systems
本文针对奇异时滞系统，通过状态分解构造Lyapunov-Krasovskii泛函，结合更紧的积分不等式和自由权矩阵方法，推导出保守性更低、决策变量更少的容许性判据，并通过部分元件等效电路算例验证了方法的优势。
This article concerns the admissibility analysis of singular time-delay systems. The aim is to get superior criteria in both low conservativeness and less decision variables. To this end, the systems are decomposed and treated with different methods. The Lyapunov–Krasovskii functionals (LKFs) are constructed based on the state decomposition. By using tighter integral inequalities and the free weighting matrix method, some new admissibility criteria are derived to compare with the previous results, and are applied to the partial element equivalent circuits (PEECs) in numerical examples, by which the advantages of the proposed method are verified.