Results 151 to 160 of about 212,072 (202)

Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency

open access: yes
Philipp, F.   +5 more
openaire   +1 more source

Approximating the Koopman Operator using Noisy Data: Noise-Resilient Extended Dynamic Mode Decomposition

open access: closed2019 American Control Conference (ACC), 2019
This paper presents a data-driven method to find a finite-dimensional approximation for the Koopman operator using noisy data. The proposed method is a modification of Extended Dynamic Mode Decomposition which finds an approximation for the projection of the Koopman operator on a subspace spanned by a predefined dictionary of functions.
Masih Haseli, Jorge Cortés
semanticscholar   +3 more sources

Koopman operators and Extended dynamic mode decomposition for the inverted pendulum

open access: closed2022 4th International Conference on Industrial Artificial Intelligence (IAI), 2022
We apply the Koopman operator theory and Extended Dynamic Mode Decomposition in the inverted pendulum model. The inverted pendulum is one of the fundamental problems in the theory of systems and control, due to its theoretical value, along with its ...
John Leventides   +2 more
semanticscholar   +3 more sources

Symbolic extended dynamic mode decomposition

Chaos: An Interdisciplinary Journal of Nonlinear Science
In this paper, we present a new method of performing extended dynamic mode decomposition (EDMD) on systems, which admit a symbolic representation. EDMD generates estimates of the Koopman operator, K, for a dynamical system by defining a dictionary of observables on the space and producing an estimate, Km, which is restricted to be invariant on the span
Connor Kennedy   +2 more
openaire   +4 more sources

Extended Dynamic Mode Decomposition with Invertible Dictionary Learning

Neural Networks
The Koopman operator has received attention for providing a potentially global linearization representation of the nonlinear dynamical system. To estimate or control the original system, the invertibility problem is introduced into the data-driven modeling, i.e., the observables are required to be reconstructed the original system's states.
Yuhong Jin, Lei Hou, Shun Zhong
openaire   +3 more sources

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