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228 Publications
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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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2018 | Preprint | LibreCat-ID: 16292 | 
Peitz S. Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data. arXiv:180106419. 2018.
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2008 | Journal Article | LibreCat-ID: 16668
Schütze O, Laumanns M, Coello Coello CA, Dellnitz M, Talbi E-G. Convergence of stochastic search algorithms to finite size pareto set approximations. Journal of Global Optimization. 2008:559-577. doi:10.1007/s10898-007-9265-7
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze O, Mostaghim S, Dellnitz M, Teich J. Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-36970-8_9
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz M, Sch�tze O, Hestermeyer T. Covering Pareto Sets by Multilevel Subdivision Techniques. Journal of Optimization Theory and Applications. 2005:113-136. doi:10.1007/s10957-004-6468-7
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1995 | Journal Article | LibreCat-ID: 16550
Dellnitz M, Field M, Golubitsky M, Ma J, Hohmann A. Cycling Chaos. International Journal of Bifurcation and Chaos. 1995:1243-1247. doi:10.1142/s0218127495000909
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2020 | Journal Article | LibreCat-ID: 16288
Klus S, Nüske F, Peitz S, Niemann J-H, Clementi C, Schütte C. Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena. 2020;406. doi:10.1016/j.physd.2020.132416
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2020 | Journal Article | LibreCat-ID: 16309
Peitz S, Otto SE, Rowley CW. Data-Driven Model Predictive Control using Interpolated Koopman Generators. SIAM Journal on Applied Dynamical Systems. 2020;19(3):2162-2193. doi:10.1137/20M1325678
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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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2020 | Journal Article | LibreCat-ID: 16290 |
Bieker K, Peitz S, Brunton SL, Kutz JN, Dellnitz M. Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics. 2020;34:577–591. doi:10.1007/s00162-020-00520-4
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2021 | Journal Article | LibreCat-ID: 21337 |
Berkemeier MB, Peitz S. Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications. 2021;26(2). doi:10.3390/mca26020031
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2005 | Conference Paper | LibreCat-ID: 16631
Li R, Pottharst A, Frohieke N, 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. doi:10.1109/apec.2005.1452979
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2009 | Journal Article | LibreCat-ID: 16669
Schütze O, Vasile M, Junge O, Dellnitz M, Izzo D. Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach. Engineering Optimization. 2009:155-181. doi:10.1080/03052150802391734
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2003 | Journal Article | LibreCat-ID: 16600
Froyland G, Dellnitz M. Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing. 2003:1839-1863. doi:10.1137/s106482750238911x
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere B, Ober-Blöbaum S, Pergola P. Detecting Initial Guesses for Trajectories in the (P)CRTBP. In: AIAA/AAS Astrodynamics Specialist Conference. ; 2010. doi:10.2514/6.2010-7962
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1993 | Journal Article | LibreCat-ID: 16518
Barany E, Dellnitz M, Golubitsky M. Detecting the symmetry of attractors. Physica D: Nonlinear Phenomena. 1993:66-87. doi:10.1016/0167-2789(93)90198-a
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2007 | Journal Article | LibreCat-ID: 16602
Froyland G, Padberg K, England MH, Treguier AM. Detection of Coherent Oceanic Structures via Transfer Operators. Physical Review Letters. 2007. doi:10.1103/physrevlett.98.224503
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer R, Monien B, Preis R. Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems. 2002:305-320. doi:10.1007/s00224-002-1056-4
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2012 | Journal Article | LibreCat-ID: 16635
Meyer A. Discontinuity Induced Bifurcations in Timed Continuous Petri Nets. IFAC Proceedings Volumes. 2012:28-33. doi:10.3182/20121003-3-mx-4033.00008
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2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker S, Ober-Blöbaum S, Marsden JE, Ortiz M. 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. doi:10.1115/detc2007-34574
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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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2013 | Conference Paper | LibreCat-ID: 16672
Specht A, Ober-Blobaum S, Wallscheid O, Romaus C, Bocker J. Discrete-time model of an IPMSM based on variational integrators. In: 2013 International Electric Machines & Drives Conference. ; 2013. doi:10.1109/iemdc.2013.6556322
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp K, Murphey T, Ober-Blobaum S. Discretized switching time optimization problems. In: 2013 European Control Conference (ECC). ; 2013. doi:10.23919/ecc.2013.6669577
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper B, Podlogar H, Gausemeier J, Witting K. 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. doi:10.1109/dexa.2008.111
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2023 | Journal Article | LibreCat-ID: 21600
Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing. 2023;45(2):A579-A595. doi:10.1137/21M1412682
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| arXiv
2022 | Book Chapter | LibreCat-ID: 30294
Peitz S, Dellnitz M, Bannenberg S. Efficient Virtual Design and Testing of Autonomous Vehicles. In: Bock HG, Küfer K-H, Maas P, Milde A, Schulz V, eds. German Success Stories in Industrial Mathematics. Vol 35. Mathematics in Industry. Springer International Publishing; 2022. doi:10.1007/978-3-030-81455-7_23
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz M, Scheurle J. Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom. In: Dynamics, Bifurcation and Symmetry. Dordrecht; 1994. doi:10.1007/978-94-011-0956-7_9
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2021 | Journal Article | LibreCat-ID: 21195
Goelz C, Mora K, Stroehlein JK, et al. Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. 2021. doi:10.1007/s11571-020-09656-9
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2012 | Conference Paper | LibreCat-ID: 16589
Flaskamp K, Ober-Blobaum S. Energy efficient control for mechanical systems based on inherent dynamical structures. In: 2012 American Control Conference (ACC). ; 2012. doi:10.1109/acc.2012.6314820
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2006 | Conference Paper | LibreCat-ID: 16626
Knoke T, Romaus C, Bocker J, Dell’Aere A, Witting K. Energy Management for an Onboard Storage System Based on Multi-Objective Optimization. In: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. ; 2006. doi:10.1109/iecon.2006.347705
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2009 | Conference Paper | LibreCat-ID: 16663
Schneider T, Schulz B, Henke C, Witting K, Steenken D, Bocker J. Energy transfer via linear doubly-fed motor in different operating modes. In: 2009 IEEE International Electric Machines and Drives Conference. ; 2009. doi:10.1109/iemdc.2009.5075267
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos CI, Ober-Blöbaum S, Peitz S. Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty. International Journal of Robust and Nonlinear Control. 2020;30(17):7593-7618. doi:10.1002/rnc.5197
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2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum S, Peitz S. Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control. 2021;31(2):380-403. doi:10.1002/rnc.5281
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz M, Hohmann A, Junge O, Rumpf M. Exploring invariant sets and invariant measures. Chaos: An Interdisciplinary Journal of Nonlinear Science. 1997:221-228. doi:10.1063/1.166223
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland G. Extracting Dynamical Behavior via Markov Models. In: Nonlinear Dynamics and Statistics. Boston, MA; 2001. doi:10.1007/978-1-4612-0177-9_12
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2023 | Preprint | LibreCat-ID: 32447 |
Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. arXiv:230700975. Published online 2023.
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| arXiv
2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. Published online 2024. doi:10.1007/s10957-024-02389-3
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz S, Klus S. 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. Lecture Notes in Control and Information Sciences. Cham: Springer; 2020:257-282. doi:10.1007/978-3-030-35713-9_10
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz M. Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis. 2002:167-185. doi:10.1093/imanum/22.2.167
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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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2023 | Journal Article | LibreCat-ID: 23428 |
Nüske F, Peitz S, Philipp F, Schaller M, Worthmann K. Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science. 2023;33. doi:10.1007/s00332-022-09862-1
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1992 | Journal Article | LibreCat-ID: 16548
Dellnitz M, Melbourne I, Marsden JE. Generic bifurcation of Hamiltonian vector fields with symmetry. Nonlinearity. 1992:979-996. doi:10.1088/0951-7715/5/4/008
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1992 | Book Chapter | LibreCat-ID: 16547
Dellnitz M, Marsden JE, Melbourne I, Scheurle J. Generic Bifurcations of Pendula. In: Bifurcation and Symmetry. Basel; 1992. doi:10.1007/978-3-0348-7536-3_10
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1994 | Journal Article | LibreCat-ID: 16541
Dellnitz M, Melbourne I. Generic movement of eigenvalues for equivariant self-adjoint matrices. Journal of Computational and Applied Mathematics. 1994:249-259. doi:10.1016/0377-0427(94)90032-9
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2007 | Journal Article | LibreCat-ID: 16612
Grüne L, Junge O. Global Optimal Control of Perturbed Systems. Journal of Optimization Theory and Applications. 2007:411-429. doi:10.1007/s10957-007-9312-z
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2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri I, Sertl S, Hajnal Z, Dellnitz M, Frauenheim T. Global optimization of silicon nanoclusters. Applied Surface Science. 2004:108-113. doi:10.1016/j.apsusc.2003.11.007
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2006 | Journal Article | LibreCat-ID: 16671
Sertl S, Dellnitz M. Global Optimization using a Dynamical Systems Approach. Journal of Global Optimization. 2006:569-587. doi:10.1007/s10898-005-4384-5
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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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2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz M, Molo MH, Metzner P, Preis R, Schütte C. Graph Algorithms for Dynamical Systems. In: Analysis, Modeling and Simulation of Multiscale Problems. ; 2006. doi:10.1007/3-540-35657-6_23
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2012 | Journal Article | LibreCat-ID: 16659
Ringkamp M, Ober-Blöbaum S, Dellnitz M, Schütze O. Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization. 2012:1117-1146. doi:10.1080/0305215x.2011.634407
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