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Observability of Koopman Representations and Output Canonical Extended Dynamic Mode Decomposition
The Koopman operator has gained considerable attention due to its ability to represent a nonlinear system as a high-dimensional linear system through nonlinear lifting of the state space.
Hyunsang Park, Inseok Hwang
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Higher Order Extended Dynamic Mode Decomposition Based on the Structured Total Least Squares
SIAM Journal on Scientific Computing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Weiyang, Li, Jie
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Data-Driven Approximation of Gene Regulatory Networks Using Extended Dynamic Mode Decomposition
This paper addresses the data-driven modeling problem of a class of gene regulatory networks. Utilizing the Koopman operator theory, the study applies the extended dynamic mode decomposition (EDMD) method to linearize a high-dimensional nonlinear ...
Haojie Lin +3 more
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An Extended Dynamic Mode Decomposition Rolling Prediction Method for VSC-HVDC System
Power systems with high penetration of renewable energy sources often experience significant frequency deviations and severe oscillations due to reduced inertia and weak damping.
Chenguang Li +4 more
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2021 22nd IEEE International Conference on Industrial Technology (ICIT), 2021
The control of vehicle dynamics is a very demanding task due to the complex nonlinear tire characteristics and the coupled lateral and longitudinal dynamics of the vehicle. When designing a Model Predictive Controller (MPC) for vehicle dynamics, this can lead to a non- convex optimization problem.
Švec, Marko +2 more
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The control of vehicle dynamics is a very demanding task due to the complex nonlinear tire characteristics and the coupled lateral and longitudinal dynamics of the vehicle. When designing a Model Predictive Controller (MPC) for vehicle dynamics, this can lead to a non- convex optimization problem.
Švec, Marko +2 more
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Investigation of Tightening Torque in Bolted Joints Using the Extended Dynamic Mode Decomposition
Guilherme Mendes Santana +3 more
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Linear Control of a Nonlinear Aerospace System via Extended Dynamic Mode Decomposition
AIAA SCITECH 2022 Forum, 2022The 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 N. +5 more
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SNAME International Conference on Fast Sea Technology
Abstract This study explores Bayesian Hankel extended Dynamic Mode Decomposition with control (BHeDMDc) as data-driven, model-free methods for predicting the response of the Generic Prismatic Planing Hull (GPPH) in wave conditions. This approach decomposes complex vessel dynamics into spatial-temporal coherent modes,
Giorgio Palma +7 more
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Abstract This study explores Bayesian Hankel extended Dynamic Mode Decomposition with control (BHeDMDc) as data-driven, model-free methods for predicting the response of the Generic Prismatic Planing Hull (GPPH) in wave conditions. This approach decomposes complex vessel dynamics into spatial-temporal coherent modes,
Giorgio Palma +7 more
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Dimension of Lift and Numerical Stability in Extended Dynamic Mode Decomposition
2025 SICE International Symposium on Control Systems (SICE ISCS)Extended Dynamic Mode Decomposition (EDMD), a data-driven modeling method, has gained interest because the method can construct an accurate linear model using the lifting function.
Tatsuki Hasebe +2 more
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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)Extended dynamic mode decomposition (EDMD), which is the data-driven method based on the Koopman operator approach, is one of the valuable methods when treating nonlinear dynamical systems.
Tatsuki Hasebe +2 more
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