In this article, we consider the input-to-state stability (ISS) problem for a class of time-delay systems with intermittent large delays, which may cause the invalidation of traditional delay-dependent stability criteria. The topic of this article features that it proposes a novel kind of stability criterion for time-delay systems, which is delay dependent if the time delay is smaller than a prescribed allowable size. While if the time delay is larger than the allowable size, the ISS can be preserved as well provided that the large-delay periods satisfy the kind of duration condition. Different from existing results on similar topics, we present the main result based on a unified Lyapunov–Krasovskii function (LKF). In this way, the frequency restriction can be removed and the analysis complexity can be simplified. A numerical example is provided to verify the proposed results.

中文翻译：

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大延迟时滞系统的输入状态稳定性


在本文中，我们考虑一类具有间歇性大延迟的时滞系统的输入状态稳定性（ISS）问题，这可能会导致传统的时滞相关稳定性准则失效。本文的主题特点是提出了一种新颖的时滞系统稳定性准则，如果时滞小于规定的允许大小，则该准则是时滞相关的。而如果时间延迟大于允许的大小，只要大延迟周期满足这种持续时间条件，ISS也可以被保留。与类似主题的现有结果不同，我们提出了基于统一的 Lyapunov-Krasovskii 函数（LKF）的主要结果。这样可以消除频率限制，简化分析复杂度。提供了一个数值例子来验证所提出的结果。