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228 Publications


2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019). 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). https://doi.org/10.1109/precede.2019.8753313
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2019 | Preprint | LibreCat-ID: 16711 | OA
Gerlach, R., Koltai, P., & Dellnitz, M. (2019). Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. In arXiv:1902.08824.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, A., Dellnitz, M., & Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems, 18(3), 1265–1292. https://doi.org/10.1137/18m1204395
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2018 | Preprint | LibreCat-ID: 21634 | OA
Hanke, S., Peitz, S., Wallscheid, O., Klus, S., Böcker, J., & Dellnitz, M. (2018). Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives. ArXiv:1804.00854.
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2018 | Journal Article | LibreCat-ID: 21940
Litzinger, F., Boninsegna, L., Wu, H., Nüske, F., Patel, R., Baraniuk, R., … Clementi, C. (2018). Rapid Calculation of Molecular Kinetics Using Compressed Sensing. Journal of Chemical Theory and Computation, 2771–2783. https://doi.org/10.1021/acs.jctc.8b00089
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2018 | Journal Article | LibreCat-ID: 21941
Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C., & Noé, F. (2018). Data-Driven Model Reduction and Transfer Operator Approximation. Journal of Nonlinear Science, 985–1010. https://doi.org/10.1007/s00332-017-9437-7
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2018 | Journal Article | LibreCat-ID: 21942
Boninsegna, L., Nüske, F., & Clementi, C. (2018). Sparse learning of stochastic dynamical equations. The Journal of Chemical Physics. https://doi.org/10.1063/1.5018409
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2018 | Journal Article | LibreCat-ID: 21943
Hruska, E., Abella, J. R., Nüske, F., Kavraki, L. E., & Clementi, C. (2018). Quantitative comparison of adaptive sampling methods for protein dynamics. The Journal of Chemical Physics. https://doi.org/10.1063/1.5053582
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/10.1007/978-3-319-96104-0_2
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2018 | Journal Article | LibreCat-ID: 8751 | OA
Peitz, S., & Dellnitz, M. (2018). A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical and Computational Applications, 23(2). https://doi.org/10.3390/mca23020030
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2018 | Book Chapter | LibreCat-ID: 8754
Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition. In Reduced-Order Modeling (ROM) for Simulation and Optimization (pp. 47–72). Cham. https://doi.org/10.1007/978-3-319-75319-5_3
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2018 | Journal Article | LibreCat-ID: 8755
Klus, S., Gelß, P., Peitz, S., & Schütte, C. (2018). Tensor-based dynamic mode decomposition. Nonlinearity, 31(7), 3359–3380. https://doi.org/10.1088/1361-6544/aabc8f
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2018 | Conference Paper | LibreCat-ID: 8757
Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). POD-based multiobjective optimal control of PDEs with non-smooth objectives. In PAMM (pp. 51–54). https://doi.org/10.1002/pamm.201710015
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2018 | Journal Article | LibreCat-ID: 16713
Gölz, C., Voelcker-Rehage, C., Mora, K., Reuter, E.-M., Godde, B., Dellnitz, M., … Vieluf, S. (2018). Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics. Frontiers in Physiology. https://doi.org/10.3389/fphys.2018.01540
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf, S., Mora, K., Gölz, C., Reuter, E.-M., Godde, B., Dellnitz, M., … Voelcker-Rehage, C. (2018). Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control. Neuroscience, 203–213. https://doi.org/10.1016/j.neuroscience.2018.07.025
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2018 | Journal Article | LibreCat-ID: 16715
Bittracher, A., Koltai, P., Klus, S., Banisch, R., Dellnitz, M., & Schütte, C. (2018). Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear Science, 28, 471–512. https://doi.org/10.1007/s00332-017-9415-0
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2018 | Preprint | LibreCat-ID: 16292 | OA
Peitz, S. (2018). Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data. ArXiv:1801.06419.
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2018 | Preprint | LibreCat-ID: 16293 | OA
Klus, S., Peitz, S., & Schuster, I. (2018). Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions. ArXiv:1805.10118.
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2018 | Journal Article | LibreCat-ID: 8753
Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2018). Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae, 161(1), 171–199. https://doi.org/10.1007/s10440-018-0209-7
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2017 | Journal Article | LibreCat-ID: 21938
Nüske, F., Wu, H., Prinz, J.-H., Wehmeyer, C., Clementi, C., & Noé, F. (2017). Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. The Journal of Chemical Physics. https://doi.org/10.1063/1.4976518
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2017 | Journal Article | LibreCat-ID: 21939
Wu, H., Nüske, F., Paul, F., Klus, S., Koltai, P., & Noé, F. (2017). Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. The Journal of Chemical Physics. https://doi.org/10.1063/1.4979344
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2017 | Conference Paper | LibreCat-ID: 8752
Peitz, S., & Dellnitz, M. (2017). Gradient-Based Multiobjective Optimization with Uncertainties. In NEO 2016 (pp. 159–182). Cham. https://doi.org/10.1007/978-3-319-64063-1_7
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2017 | Journal Article | LibreCat-ID: 16540
Dellnitz, M., & Klus, S. (2017). Sensing and control in symmetric networks. Dynamical Systems, 61–79. https://doi.org/10.1080/14689367.2016.1215410
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz, M., Klus, S., & Ziessler, A. (2017). A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. SIAM Journal on Applied Dynamical Systems, 120–138. https://doi.org/10.1137/16m1072735
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2017 | Journal Article | LibreCat-ID: 16657
Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., & Dellnitz, M. (2017). 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, 8674–8679. https://doi.org/10.1016/j.ifacol.2017.08.1526
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2017 | Dissertation | LibreCat-ID: 10594 | OA
Peitz, S. (2017).   Exploiting structure in multiobjective optimization and optimal control. https://doi.org/10.17619/UNIPB/1-176
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., & Dellnitz, M. (2017). A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), 50(1), 8674–8679. https://doi.org/10.1016/j.ifacol.2017.08.1526
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2016 | Conference Paper | LibreCat-ID: 34
Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U., … Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Progress in Industrial Mathematics at ECMI (Vol. 22, pp. 633–641). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-23413-7_87
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2016 | Journal Article | LibreCat-ID: 21937
Nüske, F., Schneider, R., Vitalini, F., & Noé, F. (2016). Variational tensor approach for approximating the rare-event kinetics of macromolecular systems. The Journal of Chemical Physics. https://doi.org/10.1063/1.4940774
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2016 | Conference Paper | LibreCat-ID: 8759
Peitz, S., Gräler, M., Henke, C., Molo, M. H., Dellnitz, M., & Trächtler, A. (2016). Multiobjective Model Predictive Control of an Industrial Laundry. In Procedia Technology (pp. 483–490). https://doi.org/10.1016/j.protcy.2016.08.061
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2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U., … Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Mathematics in Industry. Cham. https://doi.org/10.1007/978-3-319-23413-7_87
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2016 | Journal Article | LibreCat-ID: 16580
Ziessler, A., Molo, M. H.-V., & Dellnitz, M. (2016). On the computation of attractors for delay differential equations. Journal of Computational Dynamics, 5–5. https://doi.org/10.3934/jcd.2016005
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von Molo, M., Ober-Blöbaum, S., & Dellnitz, M. (2016). A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 26, 465–472. https://doi.org/10.1016/j.protcy.2016.08.059
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2015 | Journal Article | LibreCat-ID: 1774
Peitz, S., & Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. PAMM, 15(1), 613–614. https://doi.org/10.1002/pamm.201510296
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2015 | Conference Paper | LibreCat-ID: 8760
Peitz, S., & Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In PAMM (pp. 613–614). https://doi.org/10.1002/pamm.201510296
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2015 | Journal Article | LibreCat-ID: 16582
Demoures, F., Gay-Balmaz, F., Leyendecker, S., Ober-Blöbaum, S., Ratiu, T. S., & Weinand, Y. (2015). Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik, 73–123. https://doi.org/10.1007/s00211-014-0659-4
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2015 | Conference Paper | LibreCat-ID: 16622
Keuck, L., Frohleke, N., Bocker, J., & Ziessler, A. (2015). PFC-control for improved inductor utilization. In 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe). https://doi.org/10.1109/epe.2015.7309373
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2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum, S., & Padberg-Gehle, K. (2015). Multiobjective optimal control of fluid mixing. PAMM, 639–640. https://doi.org/10.1002/pamm.201510309
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2015 | Journal Article | LibreCat-ID: 16660
Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2015). Relaxing mixed integer optimal control problems using a time transformation. PAMM, 27–30. https://doi.org/10.1002/pamm.201510008
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2015 | Journal Article | LibreCat-ID: 17039
Flasskamp, K., Hage-Packhäuser, S., & Ober-Blöbaum, S. (2015). Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics, 2(1), 25–50. https://doi.org/10.3934/jcd.2015.2.25
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2015 | Journal Article | LibreCat-ID: 17041
Campos, C. M., Ober-Blöbaum, S., & Trélat, E. (2015). High order variational integrators in the optimal control of mechanical systems. Discrete & Continuous Dynamical Systems - A, 35(9), 4193–4223. https://doi.org/10.3934/dcds.2015.35.4193
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2014 | Journal Article | LibreCat-ID: 21936
Nüske, F., Keller, B. G., Pérez-Hernández, G., Mey, A. S. J. S., & Noé, F. (2014). Variational Approach to Molecular Kinetics. Journal of Chemical Theory and Computation, 1739–1752. https://doi.org/10.1021/ct4009156
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2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz, M., Dumitrescu, R., Flaßkamp, K., Gausemeier, J., Hartmann, P., Iwanek, P., … Vaßholz, M. (2014). The Paradigm of Self-optimization. In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45435-6_1
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2014 | Conference Paper | LibreCat-ID: 16596
Flasskamp, K., Ober-Blobaum, S., Schneider, T., & Bocker, J. (2014). Optimal control of a switched reluctance drive by a direct method using a discrete variational principle. In 52nd IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.2013.6761075
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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp, K., Timmermann, J., Ober-Blöbaum, S., & Trächtler, A. (2014). Control strategies on stable manifolds for energy-efficient swing-ups of double pendula. International Journal of Control, 1886–1905. https://doi.org/10.1080/00207179.2014.893450
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