This paper further studies the stability of the uncertain delayed neutral-type system by constructing a novel Lyapunov-Krasovskii functional (LKF) with some delay-dependent and N-dependent items. Some new delay-dependent robust stability criteria are proposed based on linear matrix inequality (LMI). The criteria proposed in this paper are less conservative than some recent previous ones. Some numerical examples, including a linear neutral-type system, the partial element equivalent circuit and a general linear system, are presented to show the effectiveness of the proposed approach.

中文翻译：

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改进的Lyapunov-Krasovskii泛函用于时滞中立型系统的进一步鲁棒稳定性分析

本文通过构造具有时滞和N依赖项的新型Lyapunov-Krasovskii泛函（LKF），进一步研究了不确定时滞中立型系统的稳定性。基于线性矩阵不等式（LMI），提出了一些新的依赖于时延的鲁棒稳定性判据。本文提出的标准不如最近的一些标准保守。给出了一些数值示例，包括线性中性型系统，部分元件等效电路和通用线性系统，以证明该方法的有效性。