Given a linear time-periodic control system in a Hilbert space with a bounded control operator, we present a characterization of periodic stabilization in terms of a detectability inequality. Similar characterization was built up in Trélat et al. (2020), for time-invariant systems.

中文翻译：

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线性时间周期演化系统周期稳定的可检测性不等式表征

给定希尔伯特空间中带有约束控制算子的线性时间周期控制系统，我们根据可检测性不等式给出了周期稳定的特征。Trélat等人建立了类似的特征。（2020），用于时不变系统。