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Multilayer Extended Dynamic Mode Decomposition for Coupled Van der Pol Oscillators

2024 28th International Conference on Methods and Models in Automation and Robotics (MMAR)
Kenji Uchiyama
exaly   +2 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   +2 more sources

Linear Control of a Nonlinear Aerospace System via Extended Dynamic Mode Decomposition

AIAA SCITECH 2022 Forum, 2022
The linear representation of nonlinear systems dynamics has a tremendous potential to enable the estimation, prediction, and control of nonlinear systems using standard and well-known methodologies available for linear systems. Numerical algorithms such as the Extended Dynamic Mode Decomposition (EDMD) has been recently proposed to identify, from ...
Cartocci, Nicholas   +5 more
openaire   +3 more sources

Koopman operators and Extended dynamic mode decomposition for the inverted pendulum

2022 4th International Conference on Industrial Artificial Intelligence (IAI), 2022
John Leventides   +2 more
openaire   +1 more source

Wavelet-based Dynamic Mode Decomposition in the Context of Extended Dynamic Mode Decomposition and Koopman Theory

Koopman theory is widely used for data-driven modeling of nonlinear dynamical systems. One of the well-known algorithms that stem from this approach is the Extended Dynamic Mode Decomposition (EDMD), a data-driven algorithm for uncontrolled systems. In this thesis, we will start by discussing the EDMD algorithm.
openaire   +1 more source

Observability of Koopman Representations and Output Canonical Extended Dynamic Mode Decomposition

2024 IEEE 63rd Conference on Decision and Control (CDC)
Hyunsang Park, Inseok Hwang 0002
openaire   +1 more source

Extended Proper Orthogonal Decomposition (EPOD) and Dynamic Mode Decomposition (DMD) for Analysis of Mesoscale Burner Array Flame Dynamics

2018 AIAA Aerospace Sciences Meeting, 2018
Rajavasanth Rajasegar   +7 more
openaire   +1 more source

Dimension of Lift and Numerical Stability in Extended Dynamic Mode Decomposition

2025 SICE International Symposium on Control Systems (SICE ISCS)
Tatsuki Hasebe   +2 more
openaire   +1 more source

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