This paper focuses on the stability problem of linear time-delay systems. Firstly, a generalized vectors-based multiple integral inequality (GVMII) is presented, which can treat some existing results as its special cases. Secondly, based on the multiple integral inequality, a new delay-dependent stability criterion is derived for time-delay systems. Finally, a numerical example is given to illustrate the effectiveness of the stability criterion.

中文翻译：

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一个新的多重积分不等式及其在时滞系统稳定性分析中的应用

本文关注线性时滞系统的稳定性问题。首先，提出了一种基于向量的广义多重积分不等式（GVMII），它可以将一些已有的结果作为其特例。其次，基于多重积分不等式，为时滞系统推导了新的时滞相关稳定性准则。最后，通过数值例子说明了稳定性判据的有效性。