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228 Publications


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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2014 | Book Chapter | LibreCat-ID: 16679
Anacker, H., Dellnitz, M., Flaßkamp, K., Groesbrink, S., Hartmann, P., Heinzemann, C., … Ziegert, S. (2014). Methods for the Design and Development. In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45435-6_5
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2014 | Journal Article | LibreCat-ID: 17043
Baier, R., Dellnitz, M., Hessel-von Molo, M., Sertl, S., & Kevrekidis, I. G. (2014). The computation of convex invariant sets via Newton’s method. Journal of Computational Dynamics, 1(1), 39–69. https://doi.org/10.3934/jcd.2014.1.39
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2014 | Book Chapter | LibreCat-ID: 17044
Leitz, T., Ober-Blöbaum, S., & Leyendecker, S. (2014). Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration. In Z. Terze (Ed.), Multibody Dynamics. Cham: Springer. https://doi.org/10.1007/978-3-319-07260-9
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2014 | Conference Paper | LibreCat-ID: 17045
Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2014). On the role of quadrature rules and system dimensions in variational multirateintegrators. In The 3rdJoint International Conference on Multibody System Dynamics.
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2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum, S., & Lindhorst, H. (2014). Variational formulation and structure-preserving discretization ofnonlinear electric circuits. In 21st International Symposium on Mathematical Theory of Networks and Systems.
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2013 | Journal Article | LibreCat-ID: 21935
Noé, F., & Nüske, F. (2013). A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems. Multiscale Modeling & Simulation, 635–655. https://doi.org/10.1137/110858616
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2013 | Journal Article | LibreCat-ID: 16583
Demoures, F., Gay-Balmaz, F., Leitz, T., Leyendecker, S., Ober-Blöbaum, S., & Ratiu, T. S. (2013). Asynchronous variational Lie group integration for geometrically exact beam dynamics. PAMM, 45–46. https://doi.org/10.1002/pamm.201310018
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp, K., Murphey, T., & Ober-Blobaum, S. (2013). Discretized switching time optimization problems. In 2013 European Control Conference (ECC). https://doi.org/10.23919/ecc.2013.6669577
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2013 | Journal Article | LibreCat-ID: 16595
Flaßkamp, K., Murphey, T., & Ober-Blöbaum, S. (2013). Optimization for discretized switched systems. PAMM, 401–402. https://doi.org/10.1002/pamm.201310196
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2013 | Book Chapter | LibreCat-ID: 16599
Froyland, G. (2013). Markov modelling for random dynamical systems. In Equadiff 99. https://doi.org/10.1142/9789812792617_0200
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2013 | Journal Article | LibreCat-ID: 16608
Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2013). Computing time investigations for variational multirate integration. PAMM, 43–44. https://doi.org/10.1002/pamm.201310017
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum, S., & Seifried, A. (2013). A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. In 2013 European Control Conference (ECC). https://doi.org/10.23919/ecc.2013.6669594
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2013 | Book Chapter | LibreCat-ID: 16670
Schütze, O., Witting, K., Ober-Blöbaum, S., & Dellnitz, M. (2013). Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems. In EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32726-1_5
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2013 | Conference Paper | LibreCat-ID: 16672
Specht, A., Ober-Blobaum, S., Wallscheid, O., Romaus, C., & Bocker, J. (2013). Discrete-time model of an IPMSM based on variational integrators. In 2013 International Electric Machines & Drives Conference. https://doi.org/10.1109/iemdc.2013.6556322
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2013 | Journal Article | LibreCat-ID: 16677
Witting, K., Ober-Blöbaum, S., & Dellnitz, M. (2013). A variational approach to define robustness for parametric multiobjective optimization problems. Journal of Global Optimization, 331–345. https://doi.org/10.1007/s10898-012-9972-6
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann, R., & Dellnitz, M. (2013). Analysis of team and player performance using recorded trajectory data. In Performance Analysis of Sport IX, Part 8, Routledge.
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2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer, R., Schnittker, R., Timmermann, R., Zorn, R., Rückert, U., & Baumeister, J. (2013). Running performance analysis in basketball using recorded trajectory data. In Performance Analysis of Sport IX, Part 8, Routledge.
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2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum, S., Tao, M., Cheng, M., Owhadi, H., & Marsden, J. E. (2013). Variational integrators for electric circuits. Journal of Computational Physics, 242, 498–530. https://doi.org/10.1016/j.jcp.2013.02.006
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2012 | Book Chapter | LibreCat-ID: 16516
Baier, R., & Molo, M. H. (2012). Newton’s Method and Secant Method for Set-Valued Mappings. In Large-Scale Scientific Computing. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_9
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2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz, M., Dignath, F., Flaßkamp, K., Molo, M. H., Krüger, M., Timmermann, R., & Zheng, Q. (2012). Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In Mathematics in Industry. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_14
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