This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative delay-dependent stability criteria are obtained. Finally, two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.

中文翻译：

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具有时变时滞线性系统稳定性分析的新Lyapunov-Krasovskii函数

本文关注具有时变时滞的线性系统的时滞相关稳定性问题。构造了一个新的延迟乘积型增强Lyapunov-Krasovskii函数（LKF）。基于LKF并通过采用基于自由矩阵的广义积分不等式，可以获得较不保守的时滞相关稳定性标准。最后，使用两个众所周知的数值示例来确认所提出的稳定性标准的有效性和优越性。