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458 Publications
2010 | Conference Paper | LibreCat-ID: 29467
Detecting initial guesses for trajectories in the (P)CRTBP
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
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B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
2010 | Conference Paper | LibreCat-ID: 29496
Computation of derivatives for structure preserving optimal control using automatic differentiation
S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 585–586.
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S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 585–586.
2010 | Conference Paper | LibreCat-ID: 29495
Solving optimal control problems by using inherent dynamical properties
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 577–578.
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K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 577–578.
2010 | Journal Article | LibreCat-ID: 34886
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
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| DOI
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
2010 | Journal Article | LibreCat-ID: 34888
The parity of the period of the continued fraction of d
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
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| Files available
| DOI
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
2010 | Journal Article | LibreCat-ID: 34887
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
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| DOI
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
2010 | Journal Article | LibreCat-ID: 42803
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
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| DOI
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
2009 | Journal Article | LibreCat-ID: 16499
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
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| DOI
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
2009 | Conference Paper | LibreCat-ID: 16524
Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
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| DOI
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
2009 | Journal Article | LibreCat-ID: 16545
Computation of robust Pareto points
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
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| DOI
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
2009 | Journal Article | LibreCat-ID: 16572
On the Approximation of Transport Phenomena - a Dynamical Systems Approach
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009) 47–60.
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| DOI
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009) 47–60.
2009 | Journal Article | LibreCat-ID: 16573
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, A. Sen Gupta, Nonlinear Processes in Geophysics (2009) 655–663.
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M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, A. Sen Gupta, Nonlinear Processes in Geophysics (2009) 655–663.
2009 | Journal Article | LibreCat-ID: 16574
A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2009) 33–59.
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| DOI
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2009) 33–59.
2009 | Journal Article | LibreCat-ID: 16636
Symmetries in Timed Continuous Petri Nets
A. Meyer, M. Dellnitz, IFAC Proceedings Volumes (2009) 68–73.
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| DOI
A. Meyer, M. Dellnitz, IFAC Proceedings Volumes (2009) 68–73.
2009 | Journal Article | LibreCat-ID: 16649
Local expansion concepts for detecting transport barriers in dynamical systems
K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2009) 4176–4190.
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| DOI
K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2009) 4176–4190.
2009 | Conference Paper | LibreCat-ID: 16661
Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors
C. Romaus, J. Bocker, K. Witting, A. Seifried, O. Znamenshchykov, in: 2009 IEEE Energy Conversion Congress and Exposition, 2009.
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C. Romaus, J. Bocker, K. Witting, A. Seifried, O. Znamenshchykov, in: 2009 IEEE Energy Conversion Congress and Exposition, 2009.
2009 | Conference Paper | LibreCat-ID: 16663
Energy transfer via linear doubly-fed motor in different operating modes
T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, J. Bocker, in: 2009 IEEE International Electric Machines and Drives Conference, 2009.
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T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, J. Bocker, in: 2009 IEEE International Electric Machines and Drives Conference, 2009.
2009 | Journal Article | LibreCat-ID: 16669
Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo, Engineering Optimization (2009) 155–181.
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| DOI
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo, Engineering Optimization (2009) 155–181.
2009 | Conference Paper | LibreCat-ID: 16695
Multi-objective shape optimization for piezoceramics
F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
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F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
2009 | Journal Article | LibreCat-ID: 29412
A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy 105 (2009) 33–59.
LibreCat
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy 105 (2009) 33–59.
2009 | Conference Paper | LibreCat-ID: 29470
The Jacobi-Maupertuis principle in variational integrators
S. Nair, S. Ober-Blöbaum, J.E. Marsden, in: 7th International Conference of Numerical Analysis and Applied Mathematics, 2009, pp. 464–466.
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S. Nair, S. Ober-Blöbaum, J.E. Marsden, in: 7th International Conference of Numerical Analysis and Applied Mathematics, 2009, pp. 464–466.
2009 | Conference Paper | LibreCat-ID: 29471
Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems
M. Gehler, S. Ober-Blöbaum, B. Dachwald, in: Procceedings of the 60th International Astronautical Congress, 2009.
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M. Gehler, S. Ober-Blöbaum, B. Dachwald, in: Procceedings of the 60th International Astronautical Congress, 2009.
2009 | Conference Paper | LibreCat-ID: 29473
Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
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A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
2009 | Conference Paper | LibreCat-ID: 29472
Optimal control of gravity tractor spacecraft near arbitrarily shaped asteroids
M. Gehler, S. Ober-Blöbaum, B. Dachwald, J.E. Marsden, in: 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids, 2009.
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M. Gehler, S. Ober-Blöbaum, B. Dachwald, J.E. Marsden, in: 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids, 2009.
2009 | Journal Article | LibreCat-ID: 34889
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
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| DOI
| arXiv
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
2009 | Book Chapter | LibreCat-ID: 35959
The van Hoeij Algorithm for Factoring Polynomials
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
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| Files available
| DOI
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
2009 | Dissertation | LibreCat-ID: 43453
Finite symplectic matrix groups (Dissertation)
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
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M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
2008 | Journal Article | LibreCat-ID: 16610
Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle
M.S.J. Geisler, D.-M.K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2008) 4380–4386.
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| DOI
M.S.J. Geisler, D.-M.K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2008) 4380–4386.
2008 | Conference Paper | LibreCat-ID: 16623
Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems
B. Klöpper, H. Podlogar, J. Gausemeier, K. Witting, in: 2008 19th International Conference on Database and Expert Systems Applications, 2008.
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| DOI
B. Klöpper, H. Podlogar, J. Gausemeier, K. Witting, in: 2008 19th International Conference on Database and Expert Systems Applications, 2008.
2008 | Journal Article | LibreCat-ID: 16667
Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems
O. Schütze, C.A. Coello Coello, S. Mostaghim, E.-G. Talbi, M. Dellnitz, Engineering Optimization (2008) 383–402.
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O. Schütze, C.A. Coello Coello, S. Mostaghim, E.-G. Talbi, M. Dellnitz, Engineering Optimization (2008) 383–402.
2008 | Journal Article | LibreCat-ID: 16668
Convergence of stochastic search algorithms to finite size pareto set approximations
O. Schütze, M. Laumanns, C.A. Coello Coello, M. Dellnitz, E.-G. Talbi, Journal of Global Optimization (2008) 559–577.
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O. Schütze, M. Laumanns, C.A. Coello Coello, M. Dellnitz, E.-G. Talbi, Journal of Global Optimization (2008) 559–577.
2008 | Journal Article | LibreCat-ID: 16678
A new approach for online multiobjective optimization of mechatronic systems
K. Witting, B. Schulz, M. Dellnitz, J. Böcker, N. Fröhleke, International Journal on Software Tools for Technology Transfer (2008) 223–231.
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| DOI
K. Witting, B. Schulz, M. Dellnitz, J. Böcker, N. Fröhleke, International Journal on Software Tools for Technology Transfer (2008) 223–231.
2008 | Conference Paper | LibreCat-ID: 17031
Self-Optimization of the Guidance Module of a Rail-bound Vehicle
J. Geisler, K. Witting, A. Trächtler, M. Dellnitz, in: 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
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J. Geisler, K. Witting, A. Trächtler, M. Dellnitz, in: 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
2008 | Conference Paper | LibreCat-ID: 29474
Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions
W. Zhang, T. Inanc, S. Ober-Blöbaum, J.E. Marsden, in: IEEE International Conference on Robotics and Automation, 2008.
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W. Zhang, T. Inanc, S. Ober-Blöbaum, J.E. Marsden, in: IEEE International Conference on Robotics and Automation, 2008.
2007 | Conference Paper | LibreCat-ID: 16561
Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems
M. Dellnitz, K. Padberg, M. Post, B. Thiere, in: AIP Conference Proceedings, 2007.
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M. Dellnitz, K. Padberg, M. Post, B. Thiere, in: AIP Conference Proceedings, 2007.
2007 | Journal Article | LibreCat-ID: 16602
Detection of Coherent Oceanic Structures via Transfer Operators
G. Froyland, K. Padberg, M.H. England, A.M. Treguier, Physical Review Letters (2007).
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| DOI
G. Froyland, K. Padberg, M.H. England, A.M. Treguier, Physical Review Letters (2007).
2007 | Journal Article | LibreCat-ID: 16612
Global Optimal Control of Perturbed Systems
L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.
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| DOI
L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.
2007 | Conference Paper | LibreCat-ID: 16630
Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, in: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
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| DOI
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, in: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
2007 | Book Chapter | LibreCat-ID: 16640
Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs
B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
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| DOI
B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
2007 | Journal Article | LibreCat-ID: 16648
Lagrangian structures and transport in turbulent magnetized plasmas
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
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| DOI
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
2007 | Book Chapter | LibreCat-ID: 16658
Approximation Algorithms for Multilevel Graph Partitioning
R. Preis, B. Monien, S. Schamberger, in: Handbook of Approximation Algorithms and Metaheuristics, 2007.
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| DOI
R. Preis, B. Monien, S. Schamberger, in: Handbook of Approximation Algorithms and Metaheuristics, 2007.
2007 | Conference Paper | LibreCat-ID: 16666
A Memetic PSO Algorithm for Scalar Optimization Problems
O. Schütze, E. Talbi, G.T. Pulido, C.C. Coello, L.V. Santana-Quintero, in: 2007 IEEE Swarm Intelligence Symposium, 2007.
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| DOI
O. Schütze, E. Talbi, G.T. Pulido, C.C. Coello, L.V. Santana-Quintero, in: 2007 IEEE Swarm Intelligence Symposium, 2007.
2007 | Report | LibreCat-ID: 17028
Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers
M. Vasile, O. Schütze, O. Junge, G. Radice, M. Dellnitz, Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers, European Space Agency, 2007.
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M. Vasile, O. Schütze, O. Junge, G. Radice, M. Dellnitz, Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers, European Space Agency, 2007.
2006 | Conference Paper | LibreCat-ID: 16528
Multi-Objective Optimization in Self-Optimizing Systems
A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
2006 | Book Chapter | LibreCat-ID: 16539
Set Oriented Numerical Methods in Space Mission Design
M. Dellnitz, O. Junge, in: Elsevier Astrodynamics Series, 2006.
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| DOI
M. Dellnitz, O. Junge, in: Elsevier Astrodynamics Series, 2006.
2006 | Book Chapter | LibreCat-ID: 16559
Graph Algorithms for Dynamical Systems
M. Dellnitz, M.H. Molo, P. Metzner, R. Preis, C. Schütte, in: Analysis, Modeling and Simulation of Multiscale Problems, 2006.
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M. Dellnitz, M.H. Molo, P. Metzner, R. Preis, C. Schütte, in: Analysis, Modeling and Simulation of Multiscale Problems, 2006.
2006 | Journal Article | LibreCat-ID: 16560
On target for Venus – set oriented computation of energy efficient low thrust trajectories
M. Dellnitz, O. Junge, M. Post, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2006) 357–370.
LibreCat
| DOI
M. Dellnitz, O. Junge, M. Post, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2006) 357–370.
2006 | Conference Paper | LibreCat-ID: 16618
Optimal Reconfiguration of Formation Flying Satellites
O. Junge, S. Ober-Blobaum, in: Proceedings of the 44th IEEE Conference on Decision and Control, 2006.
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| DOI
O. Junge, S. Ober-Blobaum, in: Proceedings of the 44th IEEE Conference on Decision and Control, 2006.
2006 | Conference Paper | LibreCat-ID: 16621
Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach
O. Junge, J.E. Marsden, S. Ober-Blobaum, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
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| DOI
O. Junge, J.E. Marsden, S. Ober-Blobaum, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
2006 | Conference Paper | LibreCat-ID: 16626
Energy Management for an Onboard Storage System Based on Multi-Objective Optimization
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, K. Witting, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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| DOI
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, K. Witting, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.