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  • 标题:On Koopman Operator Framework for Semi-explicit Differential-Algebraic Equations ⁎
  • 本地全文:下载
  • 作者:Yoshihiko Susuki
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2021
  • 卷号:54
  • 期号:14
  • 页码:341-345
  • DOI:10.1016/j.ifacol.2021.10.377
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThe so-called Koopman operator framework has attracted a lot of interest in dynamical systems theory and control theory. In this note we extend the framework to systems described by nonlinear semi-explicit Differential-Algebraic Equations (DAEs). A complete spectral characterization of DAE systems with asymptotically stable equilibrium points is presented. A difficulty of the Koopman operator framework is also pointed out for a planar DAE system with forward impasse point.
  • 关键词:KeywordsDifferential-algebraic equationsKoopman operatorSpectrumImpasse point
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