There has been a growing interest in systems with time-varying delays in recent years and to the best of our knowledge, no study has been made of the input-output stability of a standard feedback scheme involving a system with time-varying delays. We consider here two versions of input-output stability: so-called Hinfinity and BIBO-stability. Retarded and neutral type systems with pointwise or distributed delays are studied here. We perform a stability analysis and discuss feedback stabilization. The results we derive yield very explicit estimates for stability margins, as will be seen by considering the examples we present.

中文翻译：

---

具有可变延迟的系统的 L2 和 BIBO 稳定性

近年来，人们对时变时滞系统越来越感兴趣，据我们所知，还没有研究涉及时变时滞系统的标准反馈方案的输入-输出稳定性。我们在这里考虑两种版本的输入输出稳定性：所谓的 Hinfinity 和 BIBO 稳定性。这里研究了具有逐点或分布式延迟的延迟和中性类型系统。我们进行稳定性分析并讨论反馈稳定性。我们得出的结果产生了对稳定性裕度的非常明确的估计，通过考虑我们提供的例子可以看出。