论文标题
动态模式分解和库普曼理论
Dynamic Mode Decomposition and Koopman Theory
论文作者
论文摘要
动态模式分解（DMD）是一种使用线性技术近似非线性动力学系统的技术，它可以更好地理解并且更易于分析。 Koopman理论通过将原始系统转换为促进线性化的新领域来扩展DMD。这是关于DMD和Koopman理论的技术报告，主要重点是清晰而简洁的形式解释潜在的数学。我们包括向量和玛丽奇的尺寸，以及方程式的分步派生，以帮助用户轻松理解这些概念。该报告还将使用户在代码中实现DMD和Koopman理论。
Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze. Koopman theory extends DMD by transforming the original system into a new domain which facilitates linearization. This is a technical report on DMD and Koopman theory, with primary focus on explaining the underlying mathematics in clear and concise form. We include dimensions of vectors and marices, and step-by-step derivations of equations in order to assist the user in easily comprehending these concepts. This report will also enable users to implement DMD and Koopman theory in code.
