Cover Image

Limitations of LTI Koopman Modeling for Nonlinear Control Systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Heeg, Johannes, Worthmann, Karl
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

A data-based image representation for continuous-time LTI systems
by: Othmane, Amine, et al.
Published: (2026)

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

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

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

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

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

Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability
by: Bold, Lea, et al.
Published: (2024)

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

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

On the Existence of Koopman Linear Embeddings for Controlled Nonlinear Systems
by: Shang, Xu, et al.
Published: (2026)

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

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

Data-Driven Structured Control for Continuous-Time LTI Systems
by: Yang, Zhaohua, et al.
Published: (2026)

Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity
by: Haseli, Masih, et al.
Published: (2023)

Model-Free Design and Analysis of 2DOF PI Controller for Noisy LTI Systems
by: Kiyota, Taiga, et al.
Published: (2025)

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

On Model Predictive Funnel Control with Equilibrium Endpoint Constraints
by: Göbel, Jens, et al.
Published: (2025)

Towards Optimal Passive Feedback Control of LTI Systems under LQR Performance
by: Gießler, Armin, et al.
Published: (2026)

3DIOC: Direct Data-Driven Inverse Optimal Control for LTI Systems
by: Qu, Chendi, et al.
Published: (2024)

A model-free approach to control barrier functions using funnel control
by: Lanza, Lukas, et al.
Published: (2025)

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

Distributed Optimization for Energy Grids: A Tutorial on ADMM and ALADIN
by: Lanza, Lukas, et al.
Published: (2024)

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

Data-Enabled Predictive Control for Nonlinear Systems Based on a Koopman Bilinear Realization
by: Xiong, Zuxun, et al.
Published: (2025)

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators
by: Uchida, Daisuke, et al.
Published: (2024)

Conditional Generative Modeling of Stochastic LTI Systems: A Behavioral Approach
by: Li, Jiayun, et al.
Published: (2025)

Deep Koopman Iterative Learning and Stability-Guaranteed Control for Unknown Nonlinear Time-Varying Systems
by: Zhang, Hengde, et al.
Published: (2026)

Computing the Hard Scaled Relative Graph of LTI Systems
by: Krebbekx, Julius P. J., et al.
Published: (2025)

Online Tracking with Predictions for Nonlinear Systems with Koopman Linear Embedding
by: Pai, Chih-Fan, et al.
Published: (2026)

Willems' Fundamental Lemma for Nonlinear Systems with Koopman Linear Embedding
by: Shang, Xu, et al.
Published: (2024)

A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems
by: Casasanta, John-Paolo, et al.
Published: (2026)

On Koopman Resolvents and Frequency Response of Nonlinear Systems
by: Susuki, Yoshihiko, et al.
Published: (2026)

A Dual Koopman Approach to Observer Design for Nonlinear Systems
by: Mohet, Judicaël, et al.
Published: (2025)

Gramians for a New Class of Nonlinear Control Systems Using Koopman and a Novel Generalized SVD
by: Brown, Brian, et al.
Published: (2025)

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

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

A continuous-time fundamental lemma and its application in data-driven optimal control
by: Schmitz, Philipp, 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)

Adaptive Economic Model Predictive Control: Performance Guarantees for Nonlinear Systems
by: Degner, Maximilian, et al.
Published: (2024)