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(2007). Global Optimal Control of Perturbed Systems. <i>Journal of Optimization Theory and Applications</i>, 411–429. <a href=\"https://doi.org/10.1007/s10957-007-9312-z\">https://doi.org/10.1007/s10957-007-9312-z</a>","short":"L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.","bibtex":"@article{Grüne_Junge_2007, title={Global Optimal Control of Perturbed Systems}, DOI={<a href=\"https://doi.org/10.1007/s10957-007-9312-z\">10.1007/s10957-007-9312-z</a>}, journal={Journal of Optimization Theory and Applications}, author={Grüne, L. and Junge, O.}, year={2007}, pages={411–429} }","mla":"Grüne, L., and O. Junge. “Global Optimal Control of Perturbed Systems.” <i>Journal of Optimization Theory and Applications</i>, 2007, pp. 411–29, doi:<a href=\"https://doi.org/10.1007/s10957-007-9312-z\">10.1007/s10957-007-9312-z</a>.","ama":"Grüne L, Junge O. Global Optimal Control of Perturbed Systems. <i>Journal of Optimization Theory and Applications</i>. 2007:411-429. doi:<a href=\"https://doi.org/10.1007/s10957-007-9312-z\">10.1007/s10957-007-9312-z</a>","ieee":"L. Grüne and O. Junge, “Global Optimal Control of Perturbed Systems,” <i>Journal of Optimization Theory and Applications</i>, pp. 411–429, 2007.","chicago":"Grüne, L., and O. Junge. “Global Optimal Control of Perturbed Systems.” <i>Journal of Optimization Theory and Applications</i>, 2007, 411–29. <a href=\"https://doi.org/10.1007/s10957-007-9312-z\">https://doi.org/10.1007/s10957-007-9312-z</a>."},"page":"411-429","year":"2007","author":[{"first_name":"L.","full_name":"Grüne, L.","last_name":"Grüne"},{"first_name":"O.","full_name":"Junge, O.","last_name":"Junge"}],"date_created":"2020-04-16T08:03:02Z","date_updated":"2022-01-06T06:52:53Z","doi":"10.1007/s10957-007-9312-z","title":"Global Optimal Control of Perturbed Systems"},{"publication_identifier":{"isbn":["079184806X"]},"publication_status":"published","citation":{"bibtex":"@inproceedings{Leyendecker_Ober-Blöbaum_Marsden_Ortiz_2007, title={Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics}, DOI={<a href=\"https://doi.org/10.1115/detc2007-34574\">10.1115/detc2007-34574</a>}, booktitle={Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C}, author={Leyendecker, Sigrid and Ober-Blöbaum, Sina and Marsden, Jerrold E. and Ortiz, Michael}, year={2007} }","short":"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.","mla":"Leyendecker, Sigrid, et al. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” <i>Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C</i>, 2007, doi:<a href=\"https://doi.org/10.1115/detc2007-34574\">10.1115/detc2007-34574</a>.","apa":"Leyendecker, S., Ober-Blöbaum, S., Marsden, J. E., &#38; Ortiz, M. (2007). Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics. In <i>Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C</i>. <a href=\"https://doi.org/10.1115/detc2007-34574\">https://doi.org/10.1115/detc2007-34574</a>","ama":"Leyendecker S, Ober-Blöbaum S, Marsden JE, Ortiz M. Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics. In: <i>Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C</i>. ; 2007. doi:<a href=\"https://doi.org/10.1115/detc2007-34574\">10.1115/detc2007-34574</a>","ieee":"S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics,” in <i>Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C</i>, 2007.","chicago":"Leyendecker, Sigrid, Sina Ober-Blöbaum, Jerrold E. Marsden, and Michael Ortiz. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” In <i>Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C</i>, 2007. <a href=\"https://doi.org/10.1115/detc2007-34574\">https://doi.org/10.1115/detc2007-34574</a>."},"year":"2007","date_created":"2020-04-16T08:28:13Z","author":[{"first_name":"Sigrid","full_name":"Leyendecker, Sigrid","last_name":"Leyendecker"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum"},{"last_name":"Marsden","full_name":"Marsden, Jerrold E.","first_name":"Jerrold E."},{"last_name":"Ortiz","full_name":"Ortiz, Michael","first_name":"Michael"}],"date_updated":"2022-01-06T06:52:53Z","doi":"10.1115/detc2007-34574","title":"Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics","publication":"Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C","type":"conference","status":"public","abstract":[{"lang":"eng","text":"<jats:p>This paper formulates the dynamical equations of mechanics subject to holonomic constraints in terms of the states and controls using a constrained version of the Lagrange-d’Alembert principle. Based on a discrete version of this principle, a structure preserving time-stepping scheme is derived. It is shown that this respect for the mechanical structure (such as a reliable computation of the energy and momentum budget, without numerical dissipation) is retained when the system is reduced to its minimal dimension by the discrete null space method. Together with initial and final conditions on the configuration and conjugate momentum, the reduced time-stepping equations serve as nonlinear equality constraints for the minimisation of a given cost functional. The algorithm yields a sequence of discrete configurations together with a sequence of actuating forces, optimally guiding the system from the initial to the desired final state. The resulting discrete optimal control algorithm is shown to have excellent energy and momentum properties, which are illustrated by two specific examples, namely reorientation and repositioning of a rigid body subject to external forces and the reorientation of a rigid body with internal momentum wheels.</jats:p>"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16630","language":[{"iso":"eng"}]},{"citation":{"apa":"Monien, B., &#38; Preis, R. (2007). Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In <i>Mathematical Foundations of Computer Science 2001</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/3-540-44683-4_46\">https://doi.org/10.1007/3-540-44683-4_46</a>","bibtex":"@inbook{Monien_Preis_2007, place={Berlin, Heidelberg}, title={Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs}, DOI={<a href=\"https://doi.org/10.1007/3-540-44683-4_46\">10.1007/3-540-44683-4_46</a>}, booktitle={Mathematical Foundations of Computer Science 2001}, author={Monien, Burkhard and Preis, Robert}, year={2007} }","short":"B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.","mla":"Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” <i>Mathematical Foundations of Computer Science 2001</i>, 2007, doi:<a href=\"https://doi.org/10.1007/3-540-44683-4_46\">10.1007/3-540-44683-4_46</a>.","ama":"Monien B, Preis R. Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In: <i>Mathematical Foundations of Computer Science 2001</i>. Berlin, Heidelberg; 2007. doi:<a href=\"https://doi.org/10.1007/3-540-44683-4_46\">10.1007/3-540-44683-4_46</a>","chicago":"Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” In <i>Mathematical Foundations of Computer Science 2001</i>. Berlin, Heidelberg, 2007. <a href=\"https://doi.org/10.1007/3-540-44683-4_46\">https://doi.org/10.1007/3-540-44683-4_46</a>.","ieee":"B. Monien and R. Preis, “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs,” in <i>Mathematical Foundations of Computer Science 2001</i>, Berlin, Heidelberg, 2007."},"place":"Berlin, Heidelberg","year":"2007","publication_identifier":{"issn":["0302-9743"],"isbn":["9783540424963","9783540446835"]},"publication_status":"published","doi":"10.1007/3-540-44683-4_46","title":"Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs","date_created":"2020-04-16T08:58:07Z","author":[{"last_name":"Monien","full_name":"Monien, Burkhard","first_name":"Burkhard"},{"first_name":"Robert","full_name":"Preis, Robert","last_name":"Preis"}],"date_updated":"2022-01-06T06:52:53Z","status":"public","publication":"Mathematical Foundations of Computer Science 2001","type":"book_chapter","department":[{"_id":"101"}],"user_id":"15701","_id":"16640"},{"publication_identifier":{"issn":["1367-2630"]},"publication_status":"published","year":"2007","page":"400-400","citation":{"apa":"Padberg, K., Hauff, T., Jenko, F., &#38; Junge, O. (2007). Lagrangian structures and transport in turbulent magnetized plasmas. <i>New Journal of Physics</i>, 400–400. <a href=\"https://doi.org/10.1088/1367-2630/9/11/400\">https://doi.org/10.1088/1367-2630/9/11/400</a>","mla":"Padberg, Kathrin, et al. “Lagrangian Structures and Transport in Turbulent Magnetized Plasmas.” <i>New Journal of Physics</i>, 2007, pp. 400–400, doi:<a href=\"https://doi.org/10.1088/1367-2630/9/11/400\">10.1088/1367-2630/9/11/400</a>.","short":"K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.","bibtex":"@article{Padberg_Hauff_Jenko_Junge_2007, title={Lagrangian structures and transport in turbulent magnetized plasmas}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/9/11/400\">10.1088/1367-2630/9/11/400</a>}, journal={New Journal of Physics}, author={Padberg, Kathrin and Hauff, Thilo and Jenko, Frank and Junge, Oliver}, year={2007}, pages={400–400} }","chicago":"Padberg, Kathrin, Thilo Hauff, Frank Jenko, and Oliver Junge. “Lagrangian Structures and Transport in Turbulent Magnetized Plasmas.” <i>New Journal of Physics</i>, 2007, 400–400. <a href=\"https://doi.org/10.1088/1367-2630/9/11/400\">https://doi.org/10.1088/1367-2630/9/11/400</a>.","ieee":"K. Padberg, T. Hauff, F. Jenko, and O. Junge, “Lagrangian structures and transport in turbulent magnetized plasmas,” <i>New Journal of Physics</i>, pp. 400–400, 2007.","ama":"Padberg K, Hauff T, Jenko F, Junge O. Lagrangian structures and transport in turbulent magnetized plasmas. <i>New Journal of Physics</i>. 2007:400-400. doi:<a href=\"https://doi.org/10.1088/1367-2630/9/11/400\">10.1088/1367-2630/9/11/400</a>"},"date_updated":"2022-01-06T06:52:53Z","date_created":"2020-04-16T09:10:26Z","author":[{"last_name":"Padberg","full_name":"Padberg, Kathrin","first_name":"Kathrin"},{"first_name":"Thilo","last_name":"Hauff","full_name":"Hauff, Thilo"},{"first_name":"Frank","last_name":"Jenko","full_name":"Jenko, Frank"},{"first_name":"Oliver","full_name":"Junge, Oliver","last_name":"Junge"}],"title":"Lagrangian structures and transport in turbulent magnetized plasmas","doi":"10.1088/1367-2630/9/11/400","publication":"New Journal of Physics","type":"journal_article","status":"public","_id":"16648","department":[{"_id":"101"}],"user_id":"15701"}]