Submitted Journal Articles

1. Kernel-Based Koopman Approximants for Control: Flexible Sampling, Error Analysis, and Stability, Lea Bold, Friedrich M. Philipp, Manuel Schaller, Karl Worthmann, Submitted 2024

2. Koopman-based control of nonlinear systems with closed-loop guarantees, Robin Strässer, Julian Berberich, Manuel Schaller, Karl Worthmann, Frank Allgöwer, Submitted 2024

3. Group-Convolutional Extended Dynamic Mode Decomposition, Hans Harder, Sebastian Peitz, Feliks Nüske, Friedrich M. Philipp, Manuel Schaller, Karl Worthmann, 2024

4. Existence of solutions to port-Hamiltonian systems: initial value problems and optimal control, Willem Esterhuizen, Bernhard Maschke, Till Preuster, Manuel Schaller, Karl Worthmann, Submitted 2024

5. Modularized data-driven approximation of the Koopman operator and generator, Yang Guo, Manuel Schaller, Karl Worthmann, Stefan Streif, Submitted 2024

6. Error analysis of kernel EDMD for prediction and control in the Koopman framework, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Sebastian Peitz, Feliks Nüske, Submitted 2024

7. Perturbations in PDE-constrained optimal control decay exponentially in space, Simone Göttlich, Manuel Schaller, Karl Worthmann, Submitted 2024

8. Linear-quadratic optimal control for infinite-dimensional input-state-output systems, Timo Reis, Manuel Schaller, Submitted 2024

9. Variance representations and convergence rates for data-driven approximations of Koopman operators, Friedrich M. Philipp, Manuel Schaller, Septimus Boshoff, Sebastian Peitz, Feliks Nüske, Karl Worthmann, Submitted 2024

10. SafEDMD: A certified learning architecture tailored to data-driven control of nonlinear dynamical systems, Robin Strässer, Manuel Schaller, Karl Worthmann, Julian Berberich, Frank Allgöwer, Submitted 2024

11. Port-Hamiltonian structures in infinite-dimensional optimal control: Primal-Dual gradient method and control-by-interconnection, Hannes Gernandt, Manuel Schaller, Submitted 2024

12. Hidden regularity in singular optimal control of port-Hamiltonian systems, Timm Faulwasser, Jonas Kirchhoff, Volker Mehrmann, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Submitted 2023

13. Infinite-dimensional port-Hamiltonian systems -- a system node approach, Friedrich Philipp, Timo Reis, Manuel Schaller, Submitted 2023

Journal Articles

1. Goal-oriented time adaptivity for port-Hamiltonian systems, Andreas Bartel, Manuel Schaller, To appear in Journal of Computational and Applied Mathematics, 2024

2. L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition, Frederik Köhne, Friedrich M. Philipp, Manuel Schaller, Anton Schiela, Karl Worthmann, To appear in SIAM Journal on Applied Dynamical Systems, 2024

3. Structured Optimization-Based Model Order Reduction for Parametric Systems, Paul Schwerdtner, Manuel Schaller, To appear in SIAM Journal on Scientific Computing, 2024

4. Equivariance and partial observations in Koopman operator theory for partial differential equations, Sebastian Peitz, Hans Harder, Feliks Nüske, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Journal of Computational Dynamics, https://doi.org/10.3934/jcd.2024035, 2024

5. Optimal control of port-Hamiltonian systems: energy, entropy, and exergy, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Timm Faulwasser, Bernhard Maschke, System & Control Letters, Vol 194, https://doi.org/10.1016/j.sysconle.2024.105942, 2024

6. Model predictive control for retinal laser treatment, Manuel Schaller, Viktoria Kleyman, Mario Mordmüller, Christian Schmidt, Mitsuru Wilson, Ralf Brinkmann, Matthias A. Müller, Karl Worthmann, Vol 13 (9), Translational Vision Science & Technology, https://doi.org/10.1167/tvst.13.9.28, 2024

7. Sampled-data funnel control and its use for safe continual learning, Lukas Lanza, Dario Dennstädt, Karl Worthmann, Philipp Schmitz, Gökçen Devlet Şen, Stephan Trenn, Manuel Schaller, System & Control Letters, Vol 192, https://doi.org/10.1016/j.sysconle.2024.105892, 2024

8. Model predictive control of a magnetic levitation system with prescribed output tracking performance, Benedikt Oppeneiger, Lukas Lanza, Maximilian Schell, Dario Dennstädt, Manuel Schaller, Bert Zamzow, Thomas Berger, Karl Worthmann, Control Engineering Practice, Vol 151, https://doi.org/10.1016/j.conengprac.2024.106018, 2024

9. Data-driven MPC with stability guarantees using extended dynamic mode decomposition , Lea Bold, Lars Grüne, Manuel Schaller, Karl Worthmann, IEEE Transactions on Automatic Control, https://doi.org/10.1109/TAC.2024.3431169, 2024

10. Koopman-based Feedback Design with Stability Guarantees, Robin Strässer, Manuel Schaller, Karl Worthmann, Julian Berberich, Frank Allgöwer, IEEE Transactions on Automatic Control, DOI:10.1109/TAC.2024.3425770, 2024

11. Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable, Achim Ilchmann, Jonas Kirchhoff, Manuel Schaller, Mathematics of Control, Signals and Systems, DOI:10.1007/s00498-024-00392-7, 2024

12. Error bounds for kernel-based approximations of the Koopman operator, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Sebastian Peitz, Feliks Nüske, Applied and Computational Harmonic Analysis, Vol 71, https://doi.org/10.1016/j.acha.2024.101657, 2024

13. Energy-optimal control of adaptive structures, Manuel Schaller, Amelie Zeller, Michael Böhm, Oliver Sawodny, Cristina Tarín, Karl Worthmann, at - Automatisierungstechnik, Vol 72 (2) 07-119, https://doi.org/10.1515/auto-2023-0090, 2024

14. Finite-Data Error Bounds for Koopman-Based Prediction and Control, Feliks Nüske, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Journal of Nonlinear Science, Vol 33 (14), https://doi.org/10.48550/arXiv.2108.07102, 2023, Publication award 2023 of TU Ilmenau, Category "Mathematics and Natural Sciences"

15. State and parameter estimation for retinal laser treatment, Viktoria Kleyman, Manuel Schaller, Mario Mordmuller, Mitsuru Wilson, Ralf Brinkmann, Karl Worthmann, Matthias A. Muller, IEEE Transactions on Control Systems Technology, Vol 31 (3), pp 1366 - 1378, DOI: 10.1109/TCST.2022.3228442, 2023

16. Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation, Lars Grüne, Manuel Schaller, Anton Schiela, SIAM Journal on Scientific Computing, Vol 44 (1), pp A471-A500, https://doi.org/10.1137/20M1356324, 2022

17. Optimal Control of Port-Hamiltonian Descriptor Systems with Minimal Energy Supply, Timm Faulwasser, Bernhard Maschke, Friedrich Philipp, Manuel Schaller, Karl Worthmann, SIAM Journal on Control and Optimization, Vol 60 (4), pp 2132-2158, https://doi.org/10.1137/21M1427723, 2022

18. The interval turnpike property for adjoints, Timm Faulwasser, Lars Grüne, Jukka-Pekka Humaloja, Manuel Schaller, Pure and Applied Functional Analysis, Vol 7 (4), pp 1187-1207, https://doi.org/10.48550/arXiv.2005.12120, 2022

19. Manifold Turnpikes, Trims and Symmetries, Timm Faulwasser, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, Karl Worthmann, Mathematics of Control, Signals and Systems, Vol 34, pp 759–788, https://doi.org/10.48550/arXiv.2104.03039, 2022

20. Model predictive control for retinal laser treatment at 1 kHz, Manuel Schaller, Viktoria Kleyman, Mario Mordmüller, Christian Schmidt, Mitsuru Wilson, Ralf Brinkmann, Matthias A. Müller, Karl Worthmann, at - Automatisierungstechnik, Vol 70, (11), pp 992-1002, https://doi.org/10.48550/arXiv.2202.12879, 2022

21. Parameter estimation and model reduction for retinal laser treatment, Manuel Schaller, Mitsuru Wilson, Viktoria Kleyman, Mario Mordmüller, Ralf Brinkmann, Matthias A. Müller, Karl Worthmann, Control Engineering Practice, Vol 128, https://doi.org/10.1016/j.conengprac.2022.105320, 2022

22. Control of port-Hamiltonian systems with minimal energy supply, Manuel Schaller, Friedrich Philipp, Timm Faulwasser, Karl Worthmann, Bernhard Maschke, European Journal of Control, Vol 62, pp 33-40, https://doi.org/10.1016/j.ejcon.2021.06.017, 2021, Finalist Best Student Paper Award of ECC 2022

23. Towards temperature controlled retinal laser treatment with a single laser at 10 kHz repetition rate, Mario Mordmüller, Viktoria Kleyman, Manuel Schaller, Mitsuru Wilson, Dirk Theisen-Kunde, Karl Worthmann, Matthias A. Müller, Ralf Brinkmann, Advanced Optical Technologies, Vol 27 (56), https://doi.org/10.1515/aot-2021-0041, 2021

24. Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs, Lars Grüne, Manuel Schaller, Anton Schiela, ESAIM : Control, Optimisation and Calculus of Variations, Vol 10 (6), pp 423-431, https://doi.org/10.1515/aot-2021-0041, 2021

25. Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations, Lars Grüne, Manuel Schaller and Anton Schiela, Journal of Differential Equations, Vol 268 (12), pp. 7311-7341, https://doi.org/10.1016/j.jde.2019.11.064, 2021

26. Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control, Lars Grüne, Manuel Schaller and Anton Schiela, SIAM Journal on Control and Optimization, Vol 57 (4), pp. 2753-2774, https://doi.org/10.1137/18M1223083, 2019

27. Modeling the self-discharge by voltage decay of a NMC/graphite lithium-ion cell , Thomas Deutschen, Sophie Gasser, Manuel Schaller, Jochen Siehr, Journal of Energy Storage, Vol 19, pp. 113-119, https://doi.org/10.1016/j.est.2018.07.003, 2018

Refereed Conference Proceedings

1. Data-driven MPC with terminal conditions in the Koopman framework, Karl Worthmann, Robin Strässer, Manuel Schaller, Julian Berberich, Frank Allgöwer, To appear in Proceedings of the 63th IEEE Conference on Decision and Control (CDC), 2024

2. Fast and memory-efficient optimization for large-scale data-driven predictive control, Philipp Schmitz, Manuel Schaller, Matthias Voigt, Karl Worthmann, To appear in IFAC-PapersOnLine (CDC), 2024

3. Jet space extensions of infinite-dimensional Hamiltonian systems, Till Preuster, Manuel Schaller, Bernhard Maschke, To appear in IFAC-PapersOnLine (CDC), 2024

4. Invariance of Gaussian RKHSs under Koopman operators of stochastic differential equations with constant matrix coefficients, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Sebastian Peitz, Feliks Nüske, To appear in Proceedings in Applied Mathematics and Mechanics (CDC), 2024

5. Stage-cost design for optimal and model predictive control of linear port-Hamiltonian systems: Energy efficiency and robustness, Gökçen Devlet Şen, Manuel Schaller, Karl Worthmann, Proceedings in Applied Mathematics and Mechanics, Vol 23 (4), https://doi.org/10.1002/pamm.202300296, 2023

6. Reprojection methods for Koopman-based modelling and prediction, Pieter van Goor, Robert Mahony, Manuel Schaller, Karl Worthmann, Proceedings of the 62th IEEE Conference on Decision and Control (CDC), pp 315-321, DOI: 10.1109/CDC49753.2023.10383796, 2023

7. Optimal control of thermodynamic port-Hamiltonian Systems, Bernhard Maschke, Friedrich Philipp, Manuel Schaller, Karl Worthmann, Timm Faulwasser, IFAC-PapersOnLine, Vol 55 (30), pp 55-60, https://doi.org/10.1016/j.ifacol.2022.11.028, 2022

8. Strict dissipativity for generalized linear-quadratic problems in infinite dimensions, Lars Grüne, Friedrich Philipp, Manuel Schaller, IFAC-PapersOnLine, Vol 55 (30), pp 311-316, https://doi.org/10.1016/j.ifacol.2022.11.071, 2023

9. Towards reliable data-based optimal and predictive control using extended DMD, Manuel Schaller, Karl Worthmann, Friedrich Philipp, Sebastian Peitz, Feliks Nüske, IFAC-PapersOnLine, Vol 56 (1), pp 169-174, https://doi.org/10.1016/j.ifacol.2023.02.029, 2023

10. Inferring the adjoint turnpike property from the primal turnpike property, Timm Faulwasser, Lars Grüne, Jukka-Pekka Humaloja, Manuel Schaller, Proceedings of the 60th IEEE Conference on Decision and Control (CDC), pp 2578-2583, DOI: 10.1109/CDC45484.2021.9683079, 2021

11. Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems, Friedrich Philipp, Manuel Schaller, Timm Faulwasser, Bernhard Maschke, Karl Worthmann, IFAC-PapersOnLine, Vol 54 (19), pp 155-160, https://doi.org/10.1016/j.ifacol.2021.11.071, 2021

12. Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems, Lars Grüne, David Muff, Manuel Schaller, IFAC-PapersOnLine, Vol 54 (19), pp 302-306, https://doi.org/10.1016/j.ifacol.2021.11.094, 2021

13. State and parameter estimation for model-based retinal laser treatment, Viktoria Kleyman, Manuel Schaller, Mitsuru Wilson, Mario Mordmüller, Ralf Brinkmann, Karl Worthmann, Matthias A. Müller, IFAC-PapersOnLine, Vol 56 (6), pp 244-250, https://doi.org/10.1016/j.ifacol.2021.08.552, 2021

Book Chapters

1. Port-Hamiltonian formulation of Oseen flows, Timo Reis, Manuel Schaller, Systems Theory and PDEs - Open Problems, Recent Results, and New Directions, Schwenninger, F.L., Waurick, M. (eds), Birkhäuser Cham, 2024

2. On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems, Hannes Gernandt, Friedrich Philipp, Till Preuster, Manuel Schaller, Systems Theory and PDEs - Open Problems, Recent Results, and New Directions, Schwenninger, F.L., Waurick, M. (eds), Birkhäuser Cham, 2024

Other Publications

1. Sensitivity Analysis and Goal Oriented Error Estimation for Model Predictive Control, Manuel Schaller, Doctoral Thesis, University of Bayreuth, 185 pages, 2021

2. A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization, Manuel Schaller, Anton Schiela, Matthias Stöcklein, Preprint SPP 1961, 29 pages, 201