Results 91 to 100 of about 1,745 (187)

Small‐Signal Synchronization Stability Enhancement of GFL‐Based Renewable Energy Generation Using the Koopman Operator

IET Renewable Power Generation
Recent reports have highlighted small‐signal synchronous instability issues in grid‐following converter‐based renewable energy generation systems connected to weak power grids.
Le Zheng, Jiajie Zheng, Xin Liu, Gengyin Li, Yanhui Xu   +4 more
doaj   +1 more source

Kernel methods for the approximation of the eigenfunctions of the Koopman operator

Physica D: Nonlinear Phenomena
The Koopman operator provides a linear framework to study nonlinear dynamical systems. Its spectra offer valuable insights into system dynamics, but the operator can exhibit both discrete and continuous spectra, complicating direct computations. In this paper, we introduce a kernel-based method to construct the principal eigenfunctions of the Koopman ...
Lee J., Hamzi B., Hou B., Owhadi H., Santin G., Vaidya U.   +5 more
openaire   +2 more sources

Dual systems identification methods based on Koopman operator theory

, 2018
We report our recent developments on Koopman operator lifting techniques for system identification and parameter estimation. We present two methods, which are based on the key idea of identifying the Koopman operator in a lifted space of observables, but
Goncalves, Jorge, Mauroy, Alexandre; id_orcid   +1 more
core  

Koopman Operator: properties and applications

, 2022
non
SEGHETTO, ANDREA
core  

Evaluation of Koopman Operator Neural Decoding Scheme

, 2023
Neural activity correlates with a wide variety of phenomena relating to the animal originating the activity. It is possible to exploit those correlations by measuring the activity and mathematically transforming it via a so-called decoding process to ...
Edwards, Kyle
core  

Transfer operators on graphs: spectral clustering and beyond

Journal of Physics: Complexity
Graphs and networks play an important role in modeling and analyzing complex interconnected systems such as transportation networks, integrated circuits, power grids, citation graphs, and biological and artificial neural networks.
Stefan Klus, Maia Trower
doaj   +1 more source

Koopman Operator Methods in Structural Health Monitoring: A Systematic Review Towards Hybrid Physics–Data Frameworks

Applied Sciences
Structural health monitoring (SHM) is essential for the safety and long-term performance of civil and mechanical infrastructure, yet traditional vibration-based approaches often struggle with nonlinear behavior and environmental variability.
Abiodun Victor Alagbada, Tom Lahmer
doaj   +1 more source

Deep Embedding Koopman Neural Operator-Based Nonlinear Flight Training Trajectory Prediction Approach

Mathematics
Accurate flight training trajectory prediction is a key task in automatic flight maneuver evaluation and flight operations quality assurance (FOQA), which is crucial for pilot training and aviation safety management. The task is extremely challenging due
Jing Lu, Jingjun Jiang, Yidan Bai
doaj   +1 more source

Learning Hamiltonian neural Koopman operator and simultaneously sustaining and discovering conservation laws

Physical Review Research
Accurately finding and predicting dynamics based on the observational data with noise perturbations is of paramount significance but still a major challenge presently.
Jingdong Zhang, Qunxi Zhu, Wei Lin
doaj   +1 more source

APPROXIMATIONS OF KOOPMAN OPERATOR SEMIGROUPS

The main purpose of this dissertation is to study approximation methods for nonlinear systems using Bernhard Koopman\u27s Global Linearization Method or Sophus Lie\u27s method of continuous transformation groups.
Al Jabea, Ibrahem
core   +1 more source