Dynamic Mode Decomposition with Control Liouville Operators <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref> <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Joel A. Rosenfeld; Rushikesh Kamalapurkar

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Dynamic Mode Decomposition with Control Liouville Operators ? ?

机译：动态模式分解与控制Liouville运算符？？

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This manuscript provides a theoretical foundation for the Dynamic Mode Decomposition (DMD) of control affine dynamical systems through vector valued reproducing kernel Hilbert spaces (RKHSs). Specifically, control Liouville operators and control occupation kernels are introduced to separate the drift dynamics from the control effectiveness components. Given a known feedback controller that is represented through a multiplication operator, a DMD analysis may be performed on the composition of these operators to make predictions concerning the system controlled by the feedback controller.

机译：该稿件通过向量估值的再现内核空间（RKHSS）为控制仿射动态系统的动态模式分解（DMD）提供了一种理论基础。具体而言，引入控制Liouville运算符和控制占用核，以将漂移动态与控制效果分量分开。给定通过乘法运算符表示的已知反馈控制器，可以对这些运营商的组成来执行DMD分析，以使关于由反馈控制器控制的系统的预测。

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《IFAC PapersOnLine》 |2021年第9期|共6页
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Joel A. Rosenfeld; Rushikesh Kamalapurkar;
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system identificationspectral analysisoperatorsmodel approximationcontrol system analysis;

机译：系统标识分谱分析attorsModel近似控制系统分析;

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Dynamic Mode Decomposition with Control Liouville Operators ? ?

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