文章基本信息

标题：Koopman Mode Decomposition for Periodic/Quasi-periodic Time Dependence * * The funding provided by UTRC is greatly appreciated.
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作者：Igor Mezic ; Igor Mezic ; Amit Surana 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：18
页码：690-697
DOI：10.1016/j.ifacol.2016.10.246
语种：English
出版社：Elsevier
摘要：Abstract: In this paper we propose an extension of Koopman operator framework for non-autonomous systems with periodic and quasi-periodic time dependence. Using a time parametrized family of Koopman operators and the associated time dependent eigenvalues and eigenfunctions, and concepts from Floquet theory, we extend the notion of the Koopman Mode Decomposition. We illustrate our framework on several examples.
关键词：KeywordsNonlinear DynamicsOperator TheoryNon-autonomous Systems