Linear continuous-time systems with switched pointwise delays are studied. A technique enabling to establish the stability of these systems with a rapidly varying periodic delay is proposed. It relies on two ingredients: a representation of the systems as time-varying systems with constant delays and an averaging approach. Illustrative examples show the effectiveness of the proposed methodology.

中文翻译：

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具有切换快速变化延迟的线性系统的稳定性分析


研究了具有切换点延迟的线性连续时间系统。提出了一种能够在快速变化的周期延迟下建立这些系统稳定性的技术。它依赖于两个要素：将系统表示为具有恒定延迟的时变系统和平均方法。说明性示例显示了所提出方法的有效性。