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228 Publications


2014 | Journal Article | LibreCat-ID: 16597
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, and A. Trächtler, “Control strategies on stable manifolds for energy-efficient swing-ups of double pendula,” International Journal of Control, pp. 1886–1905, 2014.
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2018 | Preprint | LibreCat-ID: 16292 | OA
S. Peitz, “Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data,” arXiv:1801.06419. 2018.
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2008 | Journal Article | LibreCat-ID: 16668
O. Schütze, M. Laumanns, C. A. Coello Coello, M. Dellnitz, and E.-G. Talbi, “Convergence of stochastic search algorithms to finite size pareto set approximations,” Journal of Global Optimization, pp. 559–577, 2008.
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2003 | Book Chapter | LibreCat-ID: 16665
O. Schütze, S. Mostaghim, M. Dellnitz, and J. Teich, “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2005 | Journal Article | LibreCat-ID: 16684
M. Dellnitz, O. Sch�tze, and T. Hestermeyer, “Covering Pareto Sets by Multilevel Subdivision Techniques,” Journal of Optimization Theory and Applications, pp. 113–136, 2005.
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1995 | Journal Article | LibreCat-ID: 16550
M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,” International Journal of Bifurcation and Chaos, pp. 1243–1247, 1995.
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2020 | Journal Article | LibreCat-ID: 16288
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, and C. Schütte, “Data-driven approximation of the Koopman generator: Model reduction, system identification, and control,” Physica D: Nonlinear Phenomena, vol. 406, 2020.
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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.
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2018 | Journal Article | LibreCat-ID: 21941
S. Klus et al., “Data-Driven Model Reduction and Transfer Operator Approximation,” Journal of Nonlinear Science, pp. 985–1010, 2018.
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2020 | Journal Article | LibreCat-ID: 16290 | OA
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.
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2021 | Journal Article | LibreCat-ID: 21337 | OA
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.
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2005 | Conference Paper | LibreCat-ID: 16631
R. Li et al., “Design and implementation of a hybrid energy supply system for railway vehicles,” in Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005.
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2009 | Journal Article | LibreCat-ID: 16669
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, and D. Izzo, “Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach,” Engineering Optimization, pp. 155–181, 2009.
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2003 | Journal Article | LibreCat-ID: 16600
G. Froyland and M. Dellnitz, “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles,” SIAM Journal on Scientific Computing, pp. 1839–1863, 2003.
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2010 | Conference Paper | LibreCat-ID: 16675
B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting Initial Guesses for Trajectories in the (P)CRTBP,” in AIAA/AAS Astrodynamics Specialist Conference, 2010.
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1993 | Journal Article | LibreCat-ID: 16518
E. Barany, M. Dellnitz, and M. Golubitsky, “Detecting the symmetry of attractors,” Physica D: Nonlinear Phenomena, pp. 66–87, 1993.
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2007 | Journal Article | LibreCat-ID: 16602
G. Froyland, K. Padberg, M. H. England, and A. M. Treguier, “Detection of Coherent Oceanic Structures via Transfer Operators,” Physical Review Letters, 2007.
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2002 | Journal Article | LibreCat-ID: 16586
R. Elsässer, B. Monien, and R. Preis, “Diffusion Schemes for Load Balancing on Heterogeneous Networks,” Theory of Computing Systems, pp. 305–320, 2002.
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2012 | Journal Article | LibreCat-ID: 16635
A. Meyer, “Discontinuity Induced Bifurcations in Timed Continuous Petri Nets,” IFAC Proceedings Volumes, pp. 28–33, 2012.
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2007 | Conference Paper | LibreCat-ID: 16630
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics,” in Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
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2015 | Journal Article | LibreCat-ID: 16582
F. Demoures, 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, pp. 73–123, 2015.
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2013 | Conference Paper | LibreCat-ID: 16672
A. Specht, S. Ober-Blobaum, O. Wallscheid, C. Romaus, and J. Bocker, “Discrete-time model of an IPMSM based on variational integrators,” in 2013 International Electric Machines & Drives Conference, 2013.
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2013 | Conference Paper | LibreCat-ID: 16594
K. Flasskamp, T. Murphey, and S. Ober-Blobaum, “Discretized switching time optimization problems,” in 2013 European Control Conference (ECC), 2013.
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2008 | Conference Paper | LibreCat-ID: 16623
B. Klöpper, H. Podlogar, J. Gausemeier, and K. Witting, “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems,” in 2008 19th International Conference on Database and Expert Systems Applications, 2008.
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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
 

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.
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1994 | Book Chapter | LibreCat-ID: 16544
M. Dellnitz and J. Scheurle, “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom,” in Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.
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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.
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2012 | Conference Paper | LibreCat-ID: 16589
K. Flaskamp and S. Ober-Blobaum, “Energy efficient control for mechanical systems based on inherent dynamical structures,” in 2012 American Control Conference (ACC), 2012.
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2006 | Conference Paper | LibreCat-ID: 16626
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, and K. Witting, “Energy Management for an Onboard Storage System Based on Multi-Objective Optimization,” in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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2009 | Conference Paper | LibreCat-ID: 16663
T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, and J. Bocker, “Energy transfer via linear doubly-fed motor in different operating modes,” in 2009 IEEE International Electric Machines and Drives Conference, 2009.
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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.
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2021 | Journal Article | LibreCat-ID: 16294 | OA
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.
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1997 | Journal Article | LibreCat-ID: 16552
M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf, “Exploring invariant sets and invariant measures,” Chaos: An Interdisciplinary Journal of Nonlinear Science, pp. 221–228, 1997.
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2001 | Book Chapter | LibreCat-ID: 16598
G. Froyland, “Extracting Dynamical Behavior via Markov Models,” in Nonlinear Dynamics and Statistics, Boston, MA, 2001.
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2023 | Preprint | LibreCat-ID: 32447 | OA
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
 

2024 | Journal Article | LibreCat-ID: 46019 | OA
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.
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2020 | Book Chapter | LibreCat-ID: 16289
S. Peitz and S. Klus, “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator,” in Lecture Notes in Control and Information Sciences, vol. 484, Cham: Springer, 2020, pp. 257–282.
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2002 | Journal Article | LibreCat-ID: 16556
M. Dellnitz, “Finding zeros by multilevel subdivision techniques,” IMA Journal of Numerical Analysis, pp. 167–185, 2002.
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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.
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2023 | Journal Article | LibreCat-ID: 23428 | OA
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.
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1992 | Journal Article | LibreCat-ID: 16548
M. Dellnitz, I. Melbourne, and J. E. Marsden, “Generic bifurcation of Hamiltonian vector fields with symmetry,” Nonlinearity, pp. 979–996, 1992.
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1992 | Book Chapter | LibreCat-ID: 16547
M. Dellnitz, J. E. Marsden, I. Melbourne, and J. Scheurle, “Generic Bifurcations of Pendula,” in Bifurcation and Symmetry, Basel, 1992.
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1994 | Journal Article | LibreCat-ID: 16541
M. Dellnitz and I. Melbourne, “Generic movement of eigenvalues for equivariant self-adjoint matrices,” Journal of Computational and Applied Mathematics, pp. 249–259, 1994.
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2007 | Journal Article | LibreCat-ID: 16612
L. Grüne and O. Junge, “Global Optimal Control of Perturbed Systems,” Journal of Optimization Theory and Applications, pp. 411–429, 2007.
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2004 | Journal Article | LibreCat-ID: 16500
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, and T. Frauenheim, “Global optimization of silicon nanoclusters,” Applied Surface Science, pp. 108–113, 2004.
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2006 | Journal Article | LibreCat-ID: 16671
S. Sertl and M. Dellnitz, “Global Optimization using a Dynamical Systems Approach,” Journal of Global Optimization, pp. 569–587, 2006.
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2017 | Conference Paper | LibreCat-ID: 8752
S. Peitz and M. Dellnitz, “Gradient-Based Multiobjective Optimization with Uncertainties,” in NEO 2016, 2017, pp. 159–182.
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2006 | Book Chapter | LibreCat-ID: 16559
M. Dellnitz, M. H. Molo, P. Metzner, R. Preis, and C. Schütte, “Graph Algorithms for Dynamical Systems,” in Analysis, Modeling and Simulation of Multiscale Problems, 2006.
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2012 | Journal Article | LibreCat-ID: 16659
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, and O. Schütze, “Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space,” Engineering Optimization, pp. 1117–1146, 2012.
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