Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
228 Publications
2024 | Journal Article | LibreCat-ID: 51208
B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” Computational Optimization and Applications, 2024, doi: 10.1007/s10589-024-00552-0.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 46019 | 
K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory and Applications, 2024, doi: 10.1007/s10957-024-02389-3.
LibreCat
| DOI
| Download (ext.)
2024 | Preprint | LibreCat-ID: 51334 |
K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376. 2024.
LibreCat
| Download (ext.)
| arXiv
2024 | Journal Article | LibreCat-ID: 52726 |
C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
2023 | Journal Article | LibreCat-ID: 21199 |
S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,” Automatica, vol. 149, Art. no. 110840, 2023, doi: 10.1016/j.automatica.2022.110840.
LibreCat
| DOI
| Download (ext.)
2023 | Journal Article | LibreCat-ID: 27426 |
B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths for piecewise differentiable regularization terms,” Journal of Global Optimization, vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.
LibreCat
| DOI
| Download (ext.)
2023 | Preprint | LibreCat-ID: 45498
S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320. .
LibreCat
| Download (ext.)
| arXiv
2023 | Journal Article | LibreCat-ID: 23428 |
F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, “Finite-data error bounds for Koopman-based prediction and control,” Journal of Nonlinear Science, vol. 33, Art. no. 14, 2023, doi: 10.1007/s00332-022-09862-1.
LibreCat
| DOI
| Download (ext.)
2023 | Journal Article | LibreCat-ID: 21600
M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
2023 | Journal Article | LibreCat-ID: 49326
S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 44840
R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .
LibreCat
| Files available
| Download (ext.)
| arXiv
2023 | Preprint | LibreCat-ID: 32447 |
K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping,” arXiv:2307.00975. 2023.
LibreCat
| Download (ext.)
| arXiv
2023 | Preprint | LibreCat-ID: 46578 |
M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023.
LibreCat
| Download (ext.)
| arXiv
2022 | Book Chapter | LibreCat-ID: 16296 |
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland, K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.
LibreCat
| DOI
| Download (ext.)
2022 | Book Chapter | LibreCat-ID: 30294
S. Peitz, M. Dellnitz, and S. Bannenberg, “Efficient Virtual Design and Testing of Autonomous Vehicles,” in German Success Stories in Industrial Mathematics, vol. 35, H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Eds. Cham: Springer International Publishing, 2022.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 29673 |
S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022, doi: 10.1088/1751-8121/ac7d22.
LibreCat
| DOI
| Download (ext.)
| arXiv
2022 | Preprint | LibreCat-ID: 34618 |
B. Gebken, “Using second-order information in gradient sampling methods for nonsmooth optimization,” arXiv:2210.04579. 2022.
LibreCat
| Download (ext.)
| arXiv
2022 | Dissertation | LibreCat-ID: 31556 |
B. Gebken, Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. 2022.
LibreCat
| DOI
| Download (ext.)
2022 | Preprint | LibreCat-ID: 33150 |
M. B. Berkemeier and S. Peitz, “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients,” arXiv:2208.12094. 2022.
LibreCat
| Download (ext.)
| arXiv
2022 | Journal Article | LibreCat-ID: 20731 |
K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.
LibreCat
| Files available
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 24169
F. Nüske, P. Gelß, S. Klus, and C. Clementi, “Tensor-based computation of metastable and coherent sets,” Physica D: Nonlinear Phenomena, Art. no. 133018, 2021, doi: 10.1016/j.physd.2021.133018.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24170
S. Klus, P. Gelß, F. Nüske, and F. Noé, “Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry,” Machine Learning: Science and Technology, Art. no. 045016, 2021, doi: 10.1088/2632-2153/ac14ad.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 21195
C. Goelz et al., “Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults,” Cognitive Neurodynamics, 2021.
LibreCat
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 21337 |
M. B. Berkemeier and S. Peitz, “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models,” Mathematical and Computational Applications, vol. 26, no. 2, 2021.
LibreCat
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 21820 |
F. Nüske, P. Koltai, L. Boninsegna, and C. Clementi, “Spectral Properties of Effective Dynamics from Conditional Expectations,” Entropy, 2021.
LibreCat
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 16867 |
B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, vol. 188, pp. 696–723, 2021.
LibreCat
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 16295 |
B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.
LibreCat
| DOI
| Download (ext.)
2021 | Dissertation | LibreCat-ID: 32057 |
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021.
LibreCat
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 16294 |
S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems with symmetries,” International Journal of Robust and Nonlinear Control, vol. 31(2), pp. 380–403, 2021, doi: 10.1002/rnc.5281.
LibreCat
| DOI
| Download (ext.)
2020 | Book Chapter | LibreCat-ID: 17411
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 21819 |
S. Klus, F. Nüske, and B. Hamzi, “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator,” Entropy, 2020.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16290 |
K. Bieker, S. Peitz, S. L. Brunton, J. N. Kutz, and M. Dellnitz, “Deep model predictive flow control with limited sensor data and online learning,” Theoretical and Computational Fluid Dynamics, vol. 34, pp. 577–591, 2020.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16309
S. Peitz, S. E. Otto, and C. W. Rowley, “Data-Driven Model Predictive Control using Interpolated Koopman Generators,” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 3, pp. 2162–2193, 2020.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16710 |
R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020, doi: 10.1137/19m1247139.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16297
C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty,” International Journal of Robust and Nonlinear Control, vol. 30(17), pp. 7593–7618, 2020, doi: 10.1002/rnc.5197.
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 17994
R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation, vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 66–85.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.
LibreCat
| DOI
| Download (ext.)
2019 | Conference Paper | LibreCat-ID: 10597
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, and M. Dellnitz, “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification,” in 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
LibreCat
| DOI
2019 | Preprint | LibreCat-ID: 16711 |
R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems,” arXiv:1902.08824. 2019.
LibreCat
| Download (ext.)
2019 | Journal Article | LibreCat-ID: 16708
A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, pp. 1265–1292, 2019, doi: 10.1137/18m1204395.
LibreCat
| DOI
| Download (ext.)
2018 | Preprint | LibreCat-ID: 21634 |
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, and M. Dellnitz, “Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives,” arXiv:1804.00854. 2018.
LibreCat
| Download (ext.)
2018 | Journal Article | LibreCat-ID: 8751 |
S. Peitz and M. Dellnitz, “A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction,” Mathematical and Computational Applications, vol. 23, no. 2, 2018.
LibreCat
| DOI
| Download (ext.)
2018 | Preprint | LibreCat-ID: 16292 |
S. Peitz, “Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data,” arXiv:1801.06419. 2018.
LibreCat
| Download (ext.)
2018 | Preprint | LibreCat-ID: 16293 |
S. Klus, S. Peitz, and I. Schuster, “Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions,” arXiv:1805.10118. 2018.
LibreCat
| Download (ext.)
2018 | Journal Article | LibreCat-ID: 8753
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2018, doi: 10.1007/s10440-018-0209-7.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 16657
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This research was funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (it’s OWL).,” IFAC-PapersOnLine, pp. 8674–8679, 2017.
LibreCat
| DOI
2017 | Dissertation | LibreCat-ID: 10594 |
S. Peitz, Exploiting structure in multiobjective optimization and optimal control. 2017.
LibreCat
| Files available
| DOI
| Download (ext.)
2017 | Journal Article | LibreCat-ID: 8756
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A multiobjective MPC approach for autonomously driven electric vehicles,” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), vol. 50, no. 1, pp. 8674–8679, 2017, doi: 10.1016/j.ifacol.2017.08.1526.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 8758
J. Eckstein et al., “A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles,” in Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, vol. 26, pp. 465–472, doi: 10.1016/j.protcy.2016.08.059.
LibreCat
| DOI
2014 | Conference Paper | LibreCat-ID: 17045
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirateintegrators,” in The 3rdJoint International Conference on Multibody System Dynamics, 2014.
LibreCat
2014 | Conference Paper | LibreCat-ID: 17046
S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization ofnonlinear electric circuits,” in 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
LibreCat