Schaller, Manuel
- Finite-data error bounds for Koopman-based prediction and control
2021/08/16 by Feliks Nüske, Sebastian Peitz, Nüske, Feliks +7 · 8 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)
- Error bounds for kernel-based approximations of the Koopman operator
2023/01/20 by Philipp, Friedrich, Schaller, Manuel, Worthmann, Karl +2 · 8 citations
#47B32 #47B33 #47D07 #62M15 #Dynamical Systems (math.DS) #FOS: Mathematics
- Towards reliable data-based optimal and predictive control using extended DMD
2022/02/18 by Schaller, Manuel, Worthmann, Karl, Philipp, Friedrich +2 · 5 citations
#FOS: Mathematics #Optimization and Control (math.OC)
- Infinite-dimensional port-Hamiltonian systems -- a system node approach
2023/02/10 by Friedrich Philipp, Philipp, Friedrich, Timo Reis +3 · 8 citations
Computer Science · Engineering · Mathematics · #37Kxx #47Dxx #93C20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Biology Tumor Growth #Optimization and Control (math.OC)
- Error analysis of kernel EDMD for prediction and control in the Koopman framework
2023/12/16 by Friedrich Philipp, Philipp, Friedrich, Manuel Schaller +7 · 6 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
- Data-driven MPC with stability guarantees using extended dynamic mode decomposition
2023/08/01 by Bold, Lea, Grüne, Lars, Schaller, Manuel +1 · 5 citations
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- 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 · 6 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)
- Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
2020/08/29 by Grüne, Lars, Schaller, Manuel, Schiela, Anton · 2 citations
#35K55 #35Q93 #49K20 #49K40 #93D20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
- SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systems
2024/02/05 by Robin Strässer, Manuel Schaller, Strässer, Robin +7 · 4 citations
Engineering · Computer Science · #Control Systems and Identification #Advanced Control Systems Optimization #Neural Networks and Applications
- Kernel-based error bounds of bilinear Koopman surrogate models for nonlinear data-driven control
2025/03/17 by Strässer, Robin, Schaller, Manuel, Berberich, Julian +2 · 6 citations
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
2021/06/11 by Faulwasser, Timm, Maschke, Bernhard, Philipp, Friedrich +2 · 2 citations
#FOS: Mathematics #Optimization and Control (math.OC)
- Sampled-data funnel control and its use for safe continual learning
2023/03/01 by Lanza, Lukas, Dennstädt, Dario, Worthmann, Karl +4 · 2 citations
#FOS: Mathematics #Optimization and Control (math.OC)
- Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability
2024/12/03 by Lea Bold, Bold, Lea, Friedrich Philipp +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
- Equivariance and partial observations in Koopman operator theory for partial differential equations
2023/07/28 by Peitz, Sebastian, Harder, Hans, Nüske, Feliks +3 · 2 citations
#Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG)
- The interval turnpike property for adjoints
2020/05/25 by Timm Faulwasser, Faulwasser, Timm, Lars Grüne +5 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #49K20 #49K40 #93B05 #93B07 #93D20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
- Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation
2020/07/28 by Lars Grüne, Manuel Schaller, Grüne, Lars +3 · 1 citation
Engineering · Mathematics · #35Q93 #49K40 #65M50 #65N30 #Advanced Control Systems Optimization #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
- Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
2021/05/09 by Philipp, Friedrich, Schaller, Manuel, Faulwasser, Timm +2 · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)
- Variance representations and convergence rates for data-driven approximations of Koopman operators
2024/02/04 by Philipp, Friedrich M., Schaller, Manuel, Boshoff, Septimus +3 · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics
- 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
- Port-Hamiltonian formulation of Oseen flows
2023/05/16 by Reis, Timo, Schaller, Manuel · 4 citations
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)
- Koopman-based control of nonlinear systems with closed-loop guarantees
2024/11/15 by Strässer, Robin, Berberich, Julian, Schaller, Manuel +2 · 3 citations
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- 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
- Port-Hamiltonian structures in infinite-dimensional optimal control: Primal-Dual gradient method and control-by-interconnection
2024/06/03 by Hannes Gernandt, Manuel Schaller, Gernandt, Hannes +1 · 2 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Control and Stability of Dynamical Systems #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Optimization and Control (math.OC)
- Control of port-Hamiltonian systems with minimal energy supply
2020/11/20 by Schaller, Manuel, Philipp, Friedrich, Faulwasser, Timm +2 · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
- Data-driven Model Predictive Control: Asymptotic Stability despite Approximation Errors exemplified in the Koopman framework
2025/05/09 by Schimperna, Irene, Worthmann, Karl, Schaller, Manuel +2 · 4 citations
#FOS: Mathematics #Optimization and Control (math.OC)
- Manifold Turnpikes, Trims and Symmetries
2021/04/07 by Faulwasser, Timm, Flaßkamp, Kathrin, Ober-Blöbaum, Sina +2 · 1 citation
#49J15 #49K15 #FOS: Mathematics #Optimization and Control (math.OC)
- Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
2023/06/15 by Philipp, Friedrich, Schaller, Manuel, Worthmann, Karl +2 · 1 citation
#37J25 #80M50 #93D20 #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- Energy-optimal control of adaptive structures
2023/06/23 by Schaller, Manuel, Zeller, Amelie, Böhm, Michael +3 · 1 citation
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- Linear-quadratic optimal control for infinite-dimensional input-state-output systems
2024/01/20 by Reis, Timo, Schaller, Manuel · 2 citations
#49J20 #49K27 #49N10 #93C25 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)