We study a class of non-autonomous linear boundary control and observation systems that are governed by non-autonomous multiplicative perturbations. This class is motivated by fundamental partial differential equations, such as controlled wave equations and Timoshenko beams. Our main results give sufficient condition for well-posedness, existence and uniqueness of classical and mild solutions.

中文翻译：

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无限维非自治被动边界控制系统的适定性

我们研究了一类由非自治乘性扰动控制的非自治线性边界控制和观测系统。此类是由基本的偏微分方程（例如受控波方程和Timoshenko梁）激发的。我们的主要结果为经典和温和解的适定性，存在性和唯一性提供了充分的条件。