# Koopman Operator Theory for Nonlinear Dynamic Modeling using Dynamic Mode Decomposition

@article{Snyder2021KoopmanOT, title={Koopman Operator Theory for Nonlinear Dynamic Modeling using Dynamic Mode Decomposition}, author={Gregory Snyder and Zhuoyuan Song}, journal={ArXiv}, year={2021}, volume={abs/2110.08442} }

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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