Results 61 to 70 of about 780 (160)

A Koopman-Theoretic Approach to Car-Following and Multi-Lane Interaction Modeling

IEEE Open Journal of Intelligent Transportation Systems
This paper presents a Koopman operator-based approach for the car-following model using SwarmDMD, a dynamic mode decomposition (DMD)-type algorithm designed to capture multi-agent interactions.
Shakib Mustavee, Shaurya Agarwal
doaj   +1 more source

Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces

IEEE Access
The implementation of the Koopman operator on digital computers often relies on the approximation of its action on finite-dimensional function spaces. This approximation is generally done by orthogonally projecting on the subspace.
Masih Haseli, Jorge Cortes
doaj   +1 more source

Nonlinear System Identification of Tremors Dynamics: A Data-driven Approximation Using Koopman Operator Theory. [PDF]

Int IEEE EMBS Conf Neural Eng, 2023
Xue X, Iyer A, Roque D, Sharma N.
europepmc   +1 more source

Neural Network Augmented Koopman Explicit Model Following Control for Robotic Manipulators

IEEE Access
This paper introduces a Neural Network Augmented Koopman Explicit Model Following Control (NNKEMFC) framework for robust trajectory tracking of robotic manipulators with nonlinear effects and uncertain dynamics.
Oguz Kaan Hancioglu, Mehmet Onder Efe
doaj   +1 more source

Koopman Operator-Based Knowledge-Guided Reinforcement Learning for Safe Human-Robot Interaction. [PDF]

Front Robot AI, 2022
Sinha A, Wang Y.
europepmc   +1 more source

The distributional Koopman operator for random dynamical systems

Mathematics of Control, Signals, and Systems
The Distributional Koopman Operator (DKO) is introduced as a way to perform Koopman analysis on random dynamical systems where only aggregate distribution data is available, thereby eliminating the need for particle tracking or detailed trajectory data.
Maria Oprea, Alex Townsend, Yunan Yang
openaire   +2 more sources

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

Model-Based Control Using Koopman Operators

Robotics: Science and Systems XIII, 2017
This paper explores the application of Koopman operator theory to the control of robotic systems. The operator is introduced as a method to generate data-driven models that have utility for model-based control methods. We then motivate the use of the Koopman operator towards augmenting model-based control.
Ian Abraham, Gerardo De La Torre, Todd D. Murphey   +2 more
openaire   +2 more sources

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

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