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Karl Worthmann

  1. Finite-data error bounds for Koopman-based prediction and control
    2021/08/16 by Feliks Nüske, Sebastian Peitz, Nüske, Feliks +7 · 10 citations
    Computer Science · Decision Sciences · Physics and Astronomy · #Data Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Gaussian Processes and Bayesian Inference #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design #Probability (math.PR) #Statistics and Probability (physics.data-an)
  2. Error bounds for kernel-based approximations of the Koopman operator
    2023/01/20 by Friedrich Philipp, Philipp, Friedrich, Manuel Schaller +7 · 10 citations
    Computer Science · Decision Sciences · Physics and Astronomy · #47B32 #47B33 #47D07 #62M15 #Dynamical Systems (math.DS) #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
  3. Finite-Data Error Bounds for Koopman-Based Prediction and Control
    2022/11/23 by Feliks Nüske, Sebastian Peitz, Friedrich Philipp +2 · 8 citations
    Decision Sciences · Engineering · Physics and Astronomy · #Control Systems and Identification #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
  4. Koopman-Based Feedback Design With Stability Guarantees
    2024/07/09 by Robin Strässer, Manuel Schaller, Karl Worthmann +2 · 12 citations
    Engineering · #Control Systems and Identification #Advanced Control Systems Optimization
  5. Model Predictive Control, Cost Controllability, and Homogeneity *
    2019/06/08 by Jean‐Michel Coron, Lars Grüne, Coron, Jean-Michel +3 · 5 citations
    Engineering · #Advanced Control Systems Optimization #Stability and Control of Uncertain Systems #Control Systems and Identification
  6. Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon
    2010/01/01 by Lars Grüne, Jürgen Pannek, Martin Seehafer +1 · 3 citations
  7. Error analysis of kernel EDMD for prediction and control in the Koopman framework
    2023/12/16 by Friedrich Philipp, Manuel Schaller, Philipp, Friedrich +7 · 7 citations
    Decision Sciences · Engineering · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
  8. L^∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition
    2024/03/27 by Frederik Köhne, Köhne, Frederik, Friedrich Philipp +7 · 7 citations
    Engineering · Physics and Astronomy · #37M99 #41A05 #47B32 #47B33 #65D12 #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics #Nuclear reactor physics and engineering #Numerical Analysis (math.NA)
  9. SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systems
    2024/02/05 by Robin Strässer, Strässer, Robin, Manuel Schaller +7 · 4 citations
    Engineering · Computer Science · #Control Systems and Identification #Advanced Control Systems Optimization #Neural Networks and Applications
  10. Robust Funnel Model Predictive Control for output tracking with prescribed performance
    2023/02/03 by Thomas Berger, Berger, Thomas, Dario Dennstädt +5 · 2 citations
    Engineering · #93B45 #93B51 #93B52 #93C40 #Advanced Control Systems Optimization #FOS: Mathematics #Fault Detection and Control Systems #Iterative Learning Control Systems #Optimization and Control (math.OC)
  11. Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability
    2024/12/03 by Lea Bold, Friedrich Philipp, Bold, Lea +5 · 6 citations
    Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Electrical engineering #FOS: Mathematics #Model Reduction and Neural Networks #Numerical methods for differential equations #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
  12. Alleviating the Curse of Dimensionality in Minkowski Sum Approximations of Storage Flexibility
    2023/11/02 by Emrah Öztürk, Timm Faulwasser, Öztürk, Emrah +7 · 2 citations
    Computer Science · #Distributed and Parallel Computing Systems #Advanced Data Storage Technologies #Parallel Computing and Optimization Techniques
  13. Willems' fundamental lemma for linear descriptor systems and its use for data-driven output-feedback MPC
    2022/02/16 by Philipp Schmitz, Timm Faulwasser, Schmitz, Philipp +3 · 1 citation
    Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
  14. Variance representations and convergence rates for data-driven approximations of Koopman operators
    2024/02/04 by Friedrich Philipp, Philipp, Friedrich M., Manuel Schaller +9 · 2 citations
    Chemical Engineering · Chemistry · Engineering · #Advanced Combustion Engine Technologies #Dynamical Systems (math.DS) #FOS: Mathematics #Fault Detection and Control Systems #Spectroscopy and Chemometric Analyses
  15. An overview of Koopman-based control: From error bounds to closed-loop guarantees
    2025/09/02 by Robin Strässer, Strässer, Robin, Karl Worthmann +9 · 6 citations
    Computer Science · Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Electrical engineering #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Systems and Control (eess.SY) #electronic engineering #information engineering
  16. Reprojection methods for Koopman-based modelling and prediction
    2023/07/30 by Pieter van Goor, van Goor, Pieter, Robert Mahony +5 · 1 citation
    Physics and Astronomy · Engineering · #Model Reduction and Neural Networks #Lattice Boltzmann Simulation Studies #Fluid Dynamics and Turbulent Flows
  17. A continuous-time fundamental lemma and its application in data-driven optimal control
    2024/07/16 by Philipp Schmitz, Timm Faulwasser, Schmitz, Philipp +5 · 1 citation
    Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Mathematics #Optimization and Control (math.OC)
  18. Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
    2023/06/15 by Friedrich Philipp, Philipp, Friedrich, Manuel Schaller +7 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #37J25 #80M50 #93D20 #ATP Synthase and ATPases Research #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
  19. Towards Data-Driven Multi-Stage OPF
    2025/02/03 by Oleksii Molodchyk, Philipp Schmitz, Molodchyk, Oleksii +7 · 1 citation
    Engineering · #Advanced Control Systems Optimization #FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering
  20. Data-driven feedback rectification of switched linear systems
    2026/07/21 by Philipp Schmitz, Hannes Gernandt, Maria C. Honecker +1
    #math.OC