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228 Publications


2020 | Journal Article | LibreCat-ID: 16712
Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
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2019 | Journal Article | LibreCat-ID: 21944
Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. 2019. doi:10.1063/1.5100131
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2019 | Journal Article | LibreCat-ID: 16709
Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. 2019. doi:10.1007/s11071-019-05092-5
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2019 | Journal Article | LibreCat-ID: 10593
Peitz S, Klus S. Koopman operator-based model reduction for switched-system control of PDEs. Automatica. 2019;106:184-191. doi:10.1016/j.automatica.2019.05.016
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2019 | Journal Article | LibreCat-ID: 10595
Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. Journal of Global Optimization. 2019;73(4):891-913. doi: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. 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. doi:10.1109/precede.2019.8753313
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2019 | Preprint | LibreCat-ID: 16711 | OA
Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. arXiv:190208824. Published online 2019.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019;18(3):1265-1292. doi: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. Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives. arXiv:180400854. 2018.
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2018 | Journal Article | LibreCat-ID: 21940
Litzinger F, Boninsegna L, Wu H, et al. Rapid Calculation of Molecular Kinetics Using Compressed Sensing. Journal of Chemical Theory and Computation. 2018:2771-2783. doi:10.1021/acs.jctc.8b00089
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2018 | Journal Article | LibreCat-ID: 21941
Klus S, Nüske F, Koltai P, et al. Data-Driven Model Reduction and Transfer Operator Approximation. Journal of Nonlinear Science. 2018:985-1010. doi:10.1007/s00332-017-9437-7
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2018 | Journal Article | LibreCat-ID: 21942
Boninsegna L, Nüske F, Clementi C. Sparse learning of stochastic dynamical equations. The Journal of Chemical Physics. 2018. doi:10.1063/1.5018409
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2018 | Journal Article | LibreCat-ID: 21943
Hruska E, Abella JR, Nüske F, Kavraki LE, Clementi C. Quantitative comparison of adaptive sampling methods for protein dynamics. The Journal of Chemical Physics. 2018. doi:10.1063/1.5053582
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2
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2018 | Journal Article | LibreCat-ID: 8751 | OA
Peitz S, Dellnitz M. A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical and Computational Applications. 2018;23(2). doi:10.3390/mca23020030
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2018 | Book Chapter | LibreCat-ID: 8754
Beermann D, Dellnitz M, Peitz S, Volkwein S. Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition. In: Reduced-Order Modeling (ROM) for Simulation and Optimization. Cham; 2018:47-72. doi: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. Tensor-based dynamic mode decomposition. Nonlinearity. 2018;31(7):3359-3380. doi:10.1088/1361-6544/aabc8f
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2018 | Conference Paper | LibreCat-ID: 8757
Beermann D, Dellnitz M, Peitz S, Volkwein S. POD-based multiobjective optimal control of PDEs with non-smooth objectives. In: PAMM. ; 2018:51-54. doi:10.1002/pamm.201710015
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2018 | Journal Article | LibreCat-ID: 16713
Gölz C, Voelcker-Rehage C, Mora K, et al. Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics. Frontiers in Physiology. 2018. doi:10.3389/fphys.2018.01540
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf S, Mora K, Gölz C, et al. Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control. Neuroscience. 2018:203-213. doi: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. Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear Science. 2018;28:471-512. doi:10.1007/s00332-017-9415-0
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2018 | Preprint | LibreCat-ID: 16292 | OA
Peitz S. Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data. arXiv:180106419. 2018.
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2018 | Preprint | LibreCat-ID: 16293 | OA
Klus S, Peitz S, Schuster I. Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions. arXiv:180510118. 2018.
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2018 | Journal Article | LibreCat-ID: 8753
Peitz S, Ober-Blöbaum S, Dellnitz M. Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae. 2018;161(1):171–199. doi: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. Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. The Journal of Chemical Physics. 2017. doi: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. Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. The Journal of Chemical Physics. 2017. doi:10.1063/1.4979344
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2017 | Conference Paper | LibreCat-ID: 8752
Peitz S, Dellnitz M. Gradient-Based Multiobjective Optimization with Uncertainties. In: NEO 2016. Cham; 2017:159-182. doi:10.1007/978-3-319-64063-1_7
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2017 | Journal Article | LibreCat-ID: 16540
Dellnitz M, Klus S. Sensing and control in symmetric networks. Dynamical Systems. 2017:61-79. doi:10.1080/14689367.2016.1215410
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz M, Klus S, Ziessler A. A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. SIAM Journal on Applied Dynamical Systems. 2017:120-138. doi: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. 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. 2017:8674-8679. doi:10.1016/j.ifacol.2017.08.1526
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2017 | Dissertation | LibreCat-ID: 10594 | OA
Peitz S.   Exploiting Structure in Multiobjective Optimization and Optimal Control.; 2017. doi: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. A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC). 2017;50(1):8674-8679. doi:10.1016/j.ifacol.2017.08.1526
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2016 | Conference Paper | LibreCat-ID: 34
Dellnitz M, Eckstein J, Flaßkamp K, et al. Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In: Progress in Industrial Mathematics at ECMI. Vol 22. Mathematics in Industry. Cham: Springer International Publishing; 2016:633-641. doi: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. Variational tensor approach for approximating the rare-event kinetics of macromolecular systems. The Journal of Chemical Physics. 2016. doi:10.1063/1.4940774
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2016 | Conference Paper | LibreCat-ID: 8759
Peitz S, Gräler M, Henke C, Molo MH, Dellnitz M, Trächtler A. Multiobjective Model Predictive Control of an Industrial Laundry. In: Procedia Technology. ; 2016:483-490. doi:10.1016/j.protcy.2016.08.061
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2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz M, Eckstein J, Flaßkamp K, et al. Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In: Mathematics in Industry. Cham; 2016. doi:10.1007/978-3-319-23413-7_87
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2016 | Journal Article | LibreCat-ID: 16580
Ziessler A, Molo MH-V, Dellnitz M. On the computation of attractors for delay differential equations. Journal of Computational Dynamics. 2016:5-5. doi:10.3934/jcd.2016005
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein J, Peitz S, Schäfer K, 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. Vol 26. ; 2016:465-472. doi:10.1016/j.protcy.2016.08.059
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2015 | Journal Article | LibreCat-ID: 1774
Peitz S, Dellnitz M. Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. PAMM. 2015;15(1):613-614. doi:10.1002/pamm.201510296
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2015 | Conference Paper | LibreCat-ID: 8760
Peitz S, Dellnitz M. Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In: PAMM. ; 2015:613-614. doi: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 TS, Weinand Y. Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik. 2015:73-123. doi:10.1007/s00211-014-0659-4
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2015 | Conference Paper | LibreCat-ID: 16622
Keuck L, Frohleke N, Bocker J, Ziessler A. PFC-control for improved inductor utilization. In: 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe). ; 2015. doi:10.1109/epe.2015.7309373
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2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum S, Padberg-Gehle K. Multiobjective optimal control of fluid mixing. PAMM. 2015:639-640. doi:10.1002/pamm.201510309
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2015 | Journal Article | LibreCat-ID: 16660
Ringkamp M, Ober-Blöbaum S, Leyendecker S. Relaxing mixed integer optimal control problems using a time transformation. PAMM. 2015:27-30. doi:10.1002/pamm.201510008
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2015 | Journal Article | LibreCat-ID: 17039
Flasskamp K, Hage-Packhäuser S, Ober-Blöbaum S. Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics. 2015;2(1):25-50. doi:10.3934/jcd.2015.2.25
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2015 | Journal Article | LibreCat-ID: 17041
Campos CM, Ober-Blöbaum S, Trélat E. High order variational integrators in the optimal control of mechanical systems. Discrete & Continuous Dynamical Systems - A. 2015;35(9):4193-4223. doi:10.3934/dcds.2015.35.4193
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2014 | Journal Article | LibreCat-ID: 21936
Nüske F, Keller BG, Pérez-Hernández G, Mey ASJS, Noé F. Variational Approach to Molecular Kinetics. Journal of Chemical Theory and Computation. 2014:1739-1752. doi:10.1021/ct4009156
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2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz M, Dumitrescu R, Flaßkamp K, et al. The Paradigm of Self-optimization. In: Lecture Notes in Mechanical Engineering. Berlin, Heidelberg; 2014. doi: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. 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. doi:10.1109/cdc.2013.6761075
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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp K, Timmermann J, Ober-Blöbaum S, Trächtler A. Control strategies on stable manifolds for energy-efficient swing-ups of double pendula. International Journal of Control. 2014:1886-1905. doi:10.1080/00207179.2014.893450
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