Stabilizability Analysis of Linear Periodic Systems

本文研究了线性周期系统的稳定性条件。详细研究了状态转移矩阵的结构，得到了Floquet定理的推广。给出了线性定常系统的一种新的模态分解方法，并实现了部分特征乘子的放置。将开关变换器作为连续导通模式下的线性周期系统进行了系统分析。

This paper studied the stabilizability condition for linear periodic systems. The structure of the state transition matrices was studied in detail and the extension of the Floquet theorem was obtained. This gives a new modal decomposition in linear time-invariant system and enables a partial characteristic multiplier placement. The systematic analysis of switching converters was also discussed as linear periodic systems under the continuous conduction mode.