Results 41 to 50 of about 780 (160)

Short-Term Voltage Stability Prediction for Power Systems Based on a Dominant Koopman Operator-Enhanced MLE

IEEE Access
Short-term voltage stability (STVS) prediction is a critical technology for modern power systems with high penetration of renewable energy resources. To address the limitations of the traditional maximum Lyapunov exponent (MLE) in handling short-time ...
Han Gao, Deyou Yang, Yanling Lv, Lixin Wang   +3 more
doaj   +1 more source

Dynamical systems and complex networks: a Koopman operator perspective

Journal of Physics: Complexity
The Koopman operator has entered and transformed many research areas over the last years. Although the underlying concept—representing highly nonlinear dynamical systems by infinite-dimensional linear operators—has been known for a long time, the ...
Stefan Klus, Nataša Djurdjevac Conrad
doaj   +1 more source

Koopman-Based Control System for Quadrotors in Noisy Environments

IEEE Access
It is well known that identification of the complete system dynamics is challenging, especially in noisy environments. The Koopman operator theory provides a linear representation of a nonlinear system using only the input/output data acquired from the ...
Yuna Oh, Myoung Hoon Lee, Jun Moon
doaj   +1 more source

Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics

Physical Review Research, 2020
Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman–von Neumann formulation of classical mechanics.
Ilon Joseph
doaj   +1 more source

Stabilizing RED Using the Koopman Operator

IEEE Signal Processing Letters
The widely used RED (Regularization-by-Denoising) framework uses pretrained denoisers as implicit regularizers for model-based reconstruction. Although RED generally yields high-fidelity reconstructions, the use of black-box denoisers can sometimes lead to instability.
Shraddha Chavan, Kunal N. Chaudhury
openaire   +2 more sources

Scaling Law of Neural Koopman Operators

CoRR
Data-driven neural Koopman operator theory has emerged as a powerful tool for linearizing and controlling nonlinear robotic systems. However, the performance of these data-driven models fundamentally depends on the trade-off between sample size and model dimensions, a relationship for which the scaling laws have remained unclear. This paper establishes
Abulikemu Abuduweili, Yuyang Pang, Feihan Li, Changliu Liu   +3 more
openaire   +2 more sources

Inverted Gaussian Process Optimization for Probabilistic Koopman Operator Discovery

IEEE Access
Koopman Operator theory opens the door for application of rich linear systems theory to data-driven modeling and control of nonlinear dynamic systems.
Abhigyan Majumdar, Navid Mojahed, Shima Nazari   +2 more
doaj   +1 more source

Evaluation of the Regions of Attraction of Higher-Dimensional Hyperbolic Systems Using Extended Dynamic Mode Decomposition

Automation, 2023
This paper provides the theoretical foundation for the approximation of the regions of attraction in hyperbolic and polynomial systems based on the eigenfunctions deduced from the data-driven approximation of the Koopman operator.
Camilo Garcia-Tenorio, Duvan Tellez-Castro, Eduardo Mojica-Nava, Alain Vande Wouwer   +3 more
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Estimating Transient Stability Regions of Large-Scale Power Systems Part I: Koopman Operator and Reduced-Order Model

CSEE Journal of Power and Energy Systems
This paper presents an estimation of transient stability regions for large-scale power systems. In Part I, a Koopman operator based model reduction (KOMR) method is proposed to derive a low-order dynamical model with reasonable accuracy for transient ...
Yuqing Lin, Tianhao Wen, Lei Chen, Q. H. Wu, Yang Liu   +4 more
doaj   +1 more source

Data-driven koopman operator-based detection and location for multi-source forced oscillations

International Journal of Electrical Power & Energy Systems
The identification and localization of oscillation sources (OSs) is crucial for the effective suppression of forced oscillations in power systems. Herein, we introduce a novel data-driven methodology, leveraging the Koopman operator, for the detection ...
Deyou Yang, Runlin Pu, Han Gao, Mingfeng Wang   +3 more
doaj   +1 more source