This article is concerned with the problem of stability analysis of discrete‐time systems with time‐varying delay. Unlike previous articles concentrating on the improvement of summation inequalities, this article constructs a novel augmented Lyapunov‐Krasovskii (L‐K) functional by fully considering the coupling information among state‐related vectors. Based on the newly developed L‐K functional, a more relaxed stability criterion is derived by exploring the interest of existing inequalities. Three numerical examples are given to demonstrate the effectiveness of the proposed method.

中文翻译：

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通过新型Lyapunov-Krasovskii函数具有时变时滞的离散时间系统的稳定性

本文涉及具有时变时滞的离散时间系统的稳定性分析问题。与先前专注于求和不等式改善的文章不同，本文通过充分考虑状态相关向量之间的耦合信息，构造了一种新颖的增强Lyapunov-Krasovskii（L-K）函数。基于新开发的L‐K泛函，通过探索现有不等式的兴趣，可以得出更为宽松的稳定性标准。给出了三个数值例子，说明了该方法的有效性。