• Corpus ID: 239017060

Koopman Operator Theory for Nonlinear Dynamic Modeling using Dynamic Mode Decomposition

  title={Koopman Operator Theory for Nonlinear Dynamic Modeling using Dynamic Mode Decomposition},
  author={Gregory Snyder and Zhuoyuan Song},
  • Gregory Snyder, Zhuoyuan Song
  • Published 16 October 2021
  • Computer Science, Mathematics
  • ArXiv
Abstract— The Koopman operator is a linear operator that describes the evolution of scalar observables (i.e., measurement functions of the states) in an infinite-dimensional Hilbert space. This operator theoretic point of view lifts the dynamics of a finite-dimensional nonlinear system to an infinite-dimensional function space where the evolution of the original system becomes linear. In this paper, we provide a brief summary of the Koopman operator theorem for nonlinear dynamics modeling and… 


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