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228 Publications


2018 | Journal Article | LibreCat-ID: 16715
Bittracher, Andreas, Péter Koltai, Stefan Klus, Ralf Banisch, Michael Dellnitz, and Christof Schütte. “Transition Manifolds of Complex Metastable Systems.” Journal of Nonlinear Science 28 (2018): 471–512. https://doi.org/10.1007/s00332-017-9415-0.
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2018 | Preprint | LibreCat-ID: 16292 | OA
Peitz, Sebastian. “Controlling Nonlinear PDEs Using Low-Dimensional Bilinear Approximations  Obtained from Data.” ArXiv:1801.06419, 2018.
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2018 | Preprint | LibreCat-ID: 16293 | OA
Klus, Stefan, Sebastian Peitz, and Ingmar Schuster. “Analyzing High-Dimensional Time-Series Data Using Kernel Transfer  Operator Eigenfunctions.” ArXiv:1805.10118, 2018.
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2018 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, Sina Ober-Blöbaum, and Michael Dellnitz. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae 161, no. 1 (2018): 171–199. https://doi.org/10.1007/s10440-018-0209-7.
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2017 | Journal Article | LibreCat-ID: 21938
Nüske, Feliks, Hao Wu, Jan-Hendrik Prinz, Christoph Wehmeyer, Cecilia Clementi, and Frank Noé. “Markov State Models from Short Non-Equilibrium Simulations—Analysis and Correction of Estimation Bias.” The Journal of Chemical Physics, 2017. https://doi.org/10.1063/1.4976518.
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2017 | Journal Article | LibreCat-ID: 21939
Wu, Hao, Feliks Nüske, Fabian Paul, Stefan Klus, Péter Koltai, and Frank Noé. “Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short off-Equilibrium Simulations.” The Journal of Chemical Physics, 2017. https://doi.org/10.1063/1.4979344.
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2017 | Conference Paper | LibreCat-ID: 8752
Peitz, Sebastian, and Michael Dellnitz. “Gradient-Based Multiobjective Optimization with Uncertainties.” In NEO 2016, 159–82. Cham, 2017. https://doi.org/10.1007/978-3-319-64063-1_7.
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2017 | Journal Article | LibreCat-ID: 16540
Dellnitz, Michael, and Stefan Klus. “Sensing and Control in Symmetric Networks.” Dynamical Systems, 2017, 61–79. https://doi.org/10.1080/14689367.2016.1215410.
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz, Michael, Stefan Klus, and Adrian Ziessler. “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty.” SIAM Journal on Applied Dynamical Systems, 2017, 120–38. https://doi.org/10.1137/16m1072735.
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2017 | Journal Article | LibreCat-ID: 16657
Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael 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, 2017, 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.
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2017 | Dissertation | LibreCat-ID: 10594 | OA
Peitz, Sebastian.   Exploiting Structure in Multiobjective Optimization and Optimal Control, 2017. https://doi.org/10.17619/UNIPB/1-176.
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50, no. 1 (2017): 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.
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2016 | Conference Paper | LibreCat-ID: 34
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In Progress in Industrial Mathematics at ECMI, 22:633–41. Mathematics in Industry. Cham: Springer International Publishing, 2016. https://doi.org/10.1007/978-3-319-23413-7_87.
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2016 | Journal Article | LibreCat-ID: 21937
Nüske, Feliks, Reinhold Schneider, Francesca Vitalini, and Frank Noé. “Variational Tensor Approach for Approximating the Rare-Event Kinetics of Macromolecular Systems.” The Journal of Chemical Physics, 2016. https://doi.org/10.1063/1.4940774.
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2016 | Conference Paper | LibreCat-ID: 8759
Peitz, Sebastian, Manuel Gräler, Christian Henke, Mirko Hessel-von Molo, Michael Dellnitz, and Ansgar Trächtler. “Multiobjective Model Predictive Control of an Industrial Laundry.” In Procedia Technology, 483–90, 2016. https://doi.org/10.1016/j.protcy.2016.08.061.
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2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In Mathematics in Industry. Cham, 2016. https://doi.org/10.1007/978-3-319-23413-7_87.
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2016 | Journal Article | LibreCat-ID: 16580
Ziessler, Adrian, Mirko Hessel-Von Molo, and Michael Dellnitz. “On the Computation of Attractors for Delay Differential Equations.” Journal of Computational Dynamics, 2016, 5–5. https://doi.org/10.3934/jcd.2016005.
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich Köhler, Mirko Hessel von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “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, 26:465–72, 2016. https://doi.org/10.1016/j.protcy.2016.08.059.
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2015 | Journal Article | LibreCat-ID: 1774
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” PAMM 15, no. 1 (2015): 613–14. https://doi.org/10.1002/pamm.201510296.
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2015 | Conference Paper | LibreCat-ID: 8760
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” In PAMM, 613–14, 2015. https://doi.org/10.1002/pamm.201510296.
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2015 | Journal Article | LibreCat-ID: 16582
Demoures, F., F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” Numerische Mathematik, 2015, 73–123. https://doi.org/10.1007/s00211-014-0659-4.
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2015 | Conference Paper | LibreCat-ID: 16622
Keuck, L., N. Frohleke, J. Bocker, and A. Ziessler. “PFC-Control for Improved Inductor Utilization.” In 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe), 2015. https://doi.org/10.1109/epe.2015.7309373.
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2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum, Sina, and Kathrin Padberg-Gehle. “Multiobjective Optimal Control of Fluid Mixing.” PAMM, 2015, 639–40. https://doi.org/10.1002/pamm.201510309.
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2015 | Journal Article | LibreCat-ID: 16660
Ringkamp, Maik, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Relaxing Mixed Integer Optimal Control Problems Using a Time Transformation.” PAMM, 2015, 27–30. https://doi.org/10.1002/pamm.201510008.
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2015 | Journal Article | LibreCat-ID: 17039
Flasskamp, Kathrin, Sebastian Hage-Packhäuser, and Sina Ober-Blöbaum. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics 2, no. 1 (2015): 25–50. https://doi.org/10.3934/jcd.2015.2.25.
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2015 | Journal Article | LibreCat-ID: 17041
Campos, Cédric M., Sina Ober-Blöbaum, and Emmanuel Trélat. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete & Continuous Dynamical Systems - A 35, no. 9 (2015): 4193–4223. https://doi.org/10.3934/dcds.2015.35.4193.
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2014 | Journal Article | LibreCat-ID: 21936
Nüske, Feliks, Bettina G. Keller, Guillermo Pérez-Hernández, Antonia S. J. S. Mey, and Frank Noé. “Variational Approach to Molecular Kinetics.” Journal of Chemical Theory and Computation, 2014, 1739–52. https://doi.org/10.1021/ct4009156.
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2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz, Michael, Roman Dumitrescu, Kathrin Flaßkamp, Jürgen Gausemeier, Philip Hartmann, Peter Iwanek, Sebastian Korf, et al. “The Paradigm of Self-Optimization.” In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_1.
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2014 | Conference Paper | LibreCat-ID: 16596
Flasskamp, Kathrin, Sina Ober-Blobaum, Tobias Schneider, and Joachim Bocker. “Optimal Control of a Switched Reluctance Drive by a Direct Method Using a Discrete Variational Principle.” In 52nd IEEE Conference on Decision and Control, 2014. https://doi.org/10.1109/cdc.2013.6761075.
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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp, Kathrin, Julia Timmermann, Sina Ober-Blöbaum, and Ansgar Trächtler. “Control Strategies on Stable Manifolds for Energy-Efficient Swing-Ups of Double Pendula.” International Journal of Control, 2014, 1886–1905. https://doi.org/10.1080/00207179.2014.893450.
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2014 | Book Chapter | LibreCat-ID: 16679
Anacker, Harald, Michael Dellnitz, Kathrin Flaßkamp, Stefan Groesbrink, Philip Hartmann, Christian Heinzemann, Christian Horenkamp, et al. “Methods for the Design and Development.” In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_5.
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2014 | Journal Article | LibreCat-ID: 17043
Baier, Robert, Michael Dellnitz, Mirko Hessel-von Molo, Stefan Sertl, and Ioannis G. Kevrekidis. “The Computation of Convex Invariant Sets via Newton’s Method.” Journal of Computational Dynamics 1, no. 1 (2014): 39–69. https://doi.org/10.3934/jcd.2014.1.39.
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2014 | Book Chapter | LibreCat-ID: 17044
Leitz, Thomas, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” In Multibody Dynamics, edited by Zdravko Terze. Cham: Springer, 2014. https://doi.org/10.1007/978-3-319-07260-9.
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2014 | Conference Paper | LibreCat-ID: 17045
Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “On the Role of Quadrature Rules and System Dimensions in Variational Multirateintegrators.” In The 3rdJoint International Conference on Multibody System Dynamics, 2014.
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2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum, Sina, and Henning Lindhorst. “Variational Formulation and Structure-Preserving Discretization Ofnonlinear Electric Circuits.” In 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2013 | Journal Article | LibreCat-ID: 21935
Noé, Frank, and Feliks Nüske. “A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems.” Multiscale Modeling & Simulation, 2013, 635–55. https://doi.org/10.1137/110858616.
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2013 | Journal Article | LibreCat-ID: 16583
Demoures, Francois, Francois Gay-Balmaz, Thomas Leitz, Sigrid Leyendecker, Sina Ober-Blöbaum, and Tudor S. Ratiu. “Asynchronous Variational Lie Group Integration for Geometrically Exact Beam Dynamics.” PAMM, 2013, 45–46. https://doi.org/10.1002/pamm.201310018.
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Discretized Switching Time Optimization Problems.” In 2013 European Control Conference (ECC), 2013. https://doi.org/10.23919/ecc.2013.6669577.
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2013 | Journal Article | LibreCat-ID: 16595
Flaßkamp, Kathrin, Todd Murphey, and Sina Ober-Blöbaum. “Optimization for Discretized Switched Systems.” PAMM, 2013, 401–2. https://doi.org/10.1002/pamm.201310196.
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2013 | Book Chapter | LibreCat-ID: 16599
Froyland, Gary. “Markov Modelling for Random Dynamical Systems.” In Equadiff 99, 2013. https://doi.org/10.1142/9789812792617_0200.
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2013 | Journal Article | LibreCat-ID: 16608
Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “Computing Time Investigations for Variational Multirate Integration.” PAMM, 2013, 43–44. https://doi.org/10.1002/pamm.201310017.
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum, Sina, and Albert Seifried. “A Multiobjective Optimization Approach for Optimal Control Problems of Mechanical Systems with Uncertainties.” In 2013 European Control Conference (ECC), 2013. https://doi.org/10.23919/ecc.2013.6669594.
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2013 | Book Chapter | LibreCat-ID: 16670
Schütze, Oliver, Katrin Witting, Sina Ober-Blöbaum, and Michael Dellnitz. “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, 2013. https://doi.org/10.1007/978-3-642-32726-1_5.
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2013 | Conference Paper | LibreCat-ID: 16672
Specht, Andreas, Sina Ober-Blobaum, Oliver Wallscheid, Christoph Romaus, and Joachim Bocker. “Discrete-Time Model of an IPMSM Based on Variational Integrators.” In 2013 International Electric Machines & Drives Conference, 2013. https://doi.org/10.1109/iemdc.2013.6556322.
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2013 | Journal Article | LibreCat-ID: 16677
Witting, Katrin, Sina Ober-Blöbaum, and Michael Dellnitz. “A Variational Approach to Define Robustness for Parametric Multiobjective Optimization Problems.” Journal of Global Optimization, 2013, 331–45. https://doi.org/10.1007/s10898-012-9972-6.
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann, Robert, and Michael Dellnitz. “Analysis of Team and Player Performance Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer, R., R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, and J. Baumeister. “Running Performance Analysis in Basketball Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum, Sina, Molei Tao, Mulin Cheng, Houman Owhadi, and Jerrold E. Marsden. “Variational Integrators for Electric Circuits.” Journal of Computational Physics 242 (2013): 498–530. https://doi.org/10.1016/j.jcp.2013.02.006.
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2012 | Book Chapter | LibreCat-ID: 16516
Baier, Robert, and Mirko Hessel-von Molo. “Newton’s Method and Secant Method for Set-Valued Mappings.” In Large-Scale Scientific Computing. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-29843-1_9.
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2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” In Mathematics in Industry. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-25100-9_14.
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