Cover Image

Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bold, Lea, Philipp, Friedrich M., Schaller, Manuel, Worthmann, Karl
Format:	Preprint
Published:	2024
Subjects:	Optimization and Control Systems and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees
by: Bold, Lea, et al.
Published: (2025)

Data-driven MPC with stability guarantees using extended dynamic mode decomposition
by: Bold, Lea, et al.
Published: (2023)

Offset-free Nonlinear MPC with Koopman-based Surrogate Models
by: Schimperna, Irene, et al.
Published: (2025)

Kernel-based error bounds of bilinear Koopman surrogate models for nonlinear data-driven control
by: Strässer, Robin, et al.
Published: (2025)

Koopman-based feedback design with stability guarantees
by: Strässer, Robin, et al.
Published: (2023)

Exponential stability of data-driven nonlinear MPC based on input/output models
by: Bold, Lea, et al.
Published: (2026)

Stability of data-driven Koopman MPC with terminal conditions
by: Schimperna, Irene, et al.
Published: (2025)

Koopman-based control of nonlinear systems with closed-loop guarantees
by: Strässer, Robin, et al.
Published: (2024)

Data-driven Model Predictive Control: Asymptotic Stability despite Approximation Errors exemplified in the Koopman framework
by: Schimperna, Irene, et al.
Published: (2025)

Data-driven MPC with terminal conditions in the Koopman framework
by: Worthmann, Karl, et al.
Published: (2024)

SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systems
by: Strässer, Robin, et al.
Published: (2024)

Spatial decay of perturbations in hyperbolic equations with optimal boundary control
by: Oppeneiger, Benedikt, et al.
Published: (2025)

Two-component controller design to safeguard data-driven predictive control
by: Bold, Lea, et al.
Published: (2025)

Energy-optimal control of discrete-time port-Hamiltonian systems
by: Sarkar, Arijit, et al.
Published: (2025)

Spatial exponential decay of perturbations in optimal control of general evolution equations
by: Göttlich, Simone, et al.
Published: (2025)

Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
by: Philipp, Friedrich, et al.
Published: (2023)

Modularized data-driven approximation of the Koopman operator and generator
by: Guo, Yang, et al.
Published: (2024)

An overview of Koopman-based control: From error bounds to closed-loop guarantees
by: Strässer, Robin, et al.
Published: (2025)

Excitation of control-affine systems and Koopman error bounds
by: Schmitz, Philipp, et al.
Published: (2025)

Fast and memory-efficient optimization for large-scale data-driven predictive control
by: Schmitz, Philipp, et al.
Published: (2024)

Alleviating the Curse of Dimensionality in Minkowski Sum Approximations of Storage Flexibility
by: Öztürk, Emrah, et al.
Published: (2023)

Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems
by: van Goor, Pieter, et al.
Published: (2025)

Limitations of LTI Koopman Modeling for Nonlinear Control Systems
by: Heeg, Johannes, et al.
Published: (2026)

Koopman-based control using sum-of-squares optimization: Improved stability guarantees and data efficiency
by: Strässer, Robin, et al.
Published: (2024)

Koopman-based Estimation of Lyapunov Functions: Theory on a Reproducing Kernel Hilbert Space
by: Tang, Wentao, et al.
Published: (2026)

Sampled-data funnel control and its use for safe continual learning
by: Lanza, Lukas, et al.
Published: (2023)

Existence of solutions to port-Hamiltonian systems: initial value problems and optimal control
by: Esterhuizen, Willem, et al.
Published: (2024)

Safe continual learning in model predictive control with prescribed bounds on the tracking error
by: Lanza, Lukas, et al.
Published: (2023)

Data-Driven Predictive Control of Nonholonomic Robots Based on a Bilinear Koopman Realization: Data Does Not Replace Geometry
by: Rosenfelder, Mario, et al.
Published: (2024)

Iterative solvers for partial differential equations with dissipative structure: Operator preconditioning and optimal control
by: Mehrmann, Volker, et al.
Published: (2025)

Stability of Lyapunov redesign trajectory tracking control with unbounded perturbations -- A tube-based stability analysis
by: Tietze, Niclas, et al.
Published: (2025)

Data-driven input-to-state stabilization with respect to measurement errors
by: Chen, Hailong, et al.
Published: (2023)

On model predictive control with sampled-data input for output tracking with prescribed performance
by: Dennstädt, Dario, et al.
Published: (2023)

A continuous-time fundamental lemma and its application in data-driven optimal control
by: Schmitz, Philipp, et al.
Published: (2024)

Optimality Robustness in Koopman-Based Control
by: Lin, Yicheng, et al.
Published: (2026)

Integrating Uncertainties for Koopman-Based Stabilization
by: Lin, Yicheng, et al.
Published: (2025)

Optimality Deviation using the Koopman Operator
by: Lin, Yicheng, et al.
Published: (2025)

Robust stability analysis of a simple data-driven model predictive control approach
by: Bongard, Joscha, et al.
Published: (2021)

Modeling Driver Behavior in Speed Advisory Systems: Koopman-based Approach with Online Update
by: Ozkan, Mehmet Fatih, et al.
Published: (2025)

Time-varying optimal control under measurement errors
by: Schmidt, Patrick, et al.
Published: (2026)