On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-017-9423-0
Abstract: Extended dynamic mode decomposition (EDMD) (Williams et al. in J Nonlinear Sci 25(6):1307–1346, 2015) is an algorithm that approximates the action of the Koopman operator on an N-dimensional subspace of the space of observables by… read more here.
Keywords: dynamic mode; extended dynamic; koopman operator; operator ... See more keywords
On Analytical Construction of Observable Functions in Extended Dynamic Mode Decomposition for Nonlinear Estimation and Prediction
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DOI: 10.1109/lcsys.2020.3047586
Abstract: We propose an analytical construction of observable functions in the extended dynamic mode decomposition (EDMD) algorithm. EDMD is a numerical method for approximating the spectral properties of the Koopman operator. The choice of observable functions… read more here.
Keywords: observable functions; construction; construction observable; analytical construction ... See more keywords