文章基本信息

标题：On Comparison of Dynamics of Dissipative and Finite-Time Systems Using Koopman Operator Methods * * The funding provided by ARO Grant W911NF-11-1-0511.
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作者：Igor Mezic ; Igor Mezic
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：454-461
DOI：10.1016/j.ifacol.2016.10.207
语种：English
出版社：Elsevier
摘要：Abstract: Comparison of different dynamical systems or a dynamical system with data is one of the core issues in both dynamical systems and control theory. The fruitful approaches are particularly hard to come by for systems and data that show nonlinear behavior and non-Gaussian noise characteristics. We describe a theory that utilizes spectral theory of linear operators (composition, or Koopman) to provide the methodology, that was originally formulated for measure-preserving systems. Here we extend it to capture dissipative and finite-time dynamics. The approach combines a version of ergodic partition theory with Hardy space theory in observable space (rather than in time).
关键词：KeywordsNonlinear DynamicsOperator TheoryModel Validation