This paper deals with the input–output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.

中文翻译：

---

非线性时变时滞系统的输入输出线性化：单输入单输出情况

本文研究了非线性时变时滞系统的输入输出线性化。我们为时变时滞系统引入了Lie导数的扩展，并为因果和有界非线性反馈的存在提供了充分的条件，该非线性反馈使系统的输入输出行为线性化。还介绍了确保输出稳定后内部稳定性的充分条件。最后，讨论了说明我们主要结果的几个例子。