@article{16602, author = {{Froyland, Gary and Padberg, Kathrin and England, Matthew H. and Treguier, Anne Marie}}, issn = {{0031-9007}}, journal = {{Physical Review Letters}}, title = {{{Detection of Coherent Oceanic Structures via Transfer Operators}}}, doi = {{10.1103/physrevlett.98.224503}}, year = {{2007}}, } @article{16612, author = {{Grüne, L. and Junge, O.}}, issn = {{0022-3239}}, journal = {{Journal of Optimization Theory and Applications}}, pages = {{411--429}}, title = {{{Global Optimal Control of Perturbed Systems}}}, doi = {{10.1007/s10957-007-9312-z}}, year = {{2007}}, } @inproceedings{16630, abstract = {{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.}}, author = {{Leyendecker, Sigrid and Ober-Blöbaum, Sina and Marsden, Jerrold E. and Ortiz, Michael}}, booktitle = {{Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C}}, isbn = {{079184806X}}, title = {{{Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics}}}, doi = {{10.1115/detc2007-34574}}, year = {{2007}}, } @inbook{16640, author = {{Monien, Burkhard and Preis, Robert}}, booktitle = {{Mathematical Foundations of Computer Science 2001}}, isbn = {{9783540424963}}, issn = {{0302-9743}}, title = {{{Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs}}}, doi = {{10.1007/3-540-44683-4_46}}, year = {{2007}}, } @article{16648, author = {{Padberg, Kathrin and Hauff, Thilo and Jenko, Frank and Junge, Oliver}}, issn = {{1367-2630}}, journal = {{New Journal of Physics}}, pages = {{400--400}}, title = {{{Lagrangian structures and transport in turbulent magnetized plasmas}}}, doi = {{10.1088/1367-2630/9/11/400}}, year = {{2007}}, } @inbook{16658, author = {{Preis, Robert and Monien, Burkhard and Schamberger, Stefan}}, booktitle = {{Handbook of Approximation Algorithms and Metaheuristics}}, isbn = {{9781584885504}}, issn = {{2154-4573}}, title = {{{Approximation Algorithms for Multilevel Graph Partitioning}}}, doi = {{10.1201/9781420010749.ch60}}, year = {{2007}}, } @inproceedings{16666, author = {{Schütze, Oliver and Talbi, El-ghazali and Pulido, Gregorio Toscano and Coello, Carlos Coello and Santana-Quintero, Luis Vicente}}, booktitle = {{2007 IEEE Swarm Intelligence Symposium}}, isbn = {{1424407087}}, title = {{{A Memetic PSO Algorithm for Scalar Optimization Problems}}}, doi = {{10.1109/sis.2007.368036}}, year = {{2007}}, } @techreport{17028, author = {{Vasile, Massimiliano and Schütze, Oliver and Junge, Oliver and Radice, Gimbardo and Dellnitz, Michael}}, publisher = {{European Space Agency}}, title = {{{Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers}}}, year = {{2007}}, } @inproceedings{16528, author = {{Dell'Aere, Alessandro}}, booktitle = {{IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics}}, isbn = {{1424403901}}, issn = {{1553-572X}}, title = {{{Multi-Objective Optimization in Self-Optimizing Systems}}}, doi = {{10.1109/iecon.2006.348080}}, year = {{2006}}, } @inbook{16539, author = {{Dellnitz, Michael and Junge, Oliver}}, booktitle = {{Elsevier Astrodynamics Series}}, isbn = {{9780123735621}}, issn = {{1874-9305}}, title = {{{Set Oriented Numerical Methods in Space Mission Design}}}, doi = {{10.1016/s1874-9305(07)80007-0}}, year = {{2006}}, } @inbook{16559, author = {{Dellnitz, Michael and Molo, Mirko Hessel-von and Metzner, Philipp and Preis, Robert and Schütte, Christof}}, booktitle = {{Analysis, Modeling and Simulation of Multiscale Problems}}, isbn = {{9783540356561}}, title = {{{Graph Algorithms for Dynamical Systems}}}, doi = {{10.1007/3-540-35657-6_23}}, year = {{2006}}, } @article{16560, author = {{Dellnitz, Michael and Junge, Oliver and Post, Marcus and Thiere, Bianca}}, issn = {{0923-2958}}, journal = {{Celestial Mechanics and Dynamical Astronomy}}, pages = {{357--370}}, title = {{{On target for Venus – set oriented computation of energy efficient low thrust trajectories}}}, doi = {{10.1007/s10569-006-9008-y}}, year = {{2006}}, } @inproceedings{16618, author = {{Junge, O. and Ober-Blobaum, S.}}, booktitle = {{Proceedings of the 44th IEEE Conference on Decision and Control}}, isbn = {{0780395670}}, title = {{{Optimal Reconfiguration of Formation Flying Satellites}}}, doi = {{10.1109/cdc.2005.1582132}}, year = {{2006}}, } @inproceedings{16621, author = {{Junge, O. and Marsden, J.E. and Ober-Blobaum, S.}}, booktitle = {{Proceedings of the 45th IEEE Conference on Decision and Control}}, isbn = {{1424401712}}, title = {{{Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach}}}, doi = {{10.1109/cdc.2006.376977}}, year = {{2006}}, } @inproceedings{16626, author = {{Knoke, Tobias and Romaus, Christoph and Bocker, Joachim and Dell'Aere, Alessandro and Witting, Katrin}}, booktitle = {{IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics}}, isbn = {{1424403901}}, issn = {{1553-572X}}, title = {{{Energy Management for an Onboard Storage System Based on Multi-Objective Optimization}}}, doi = {{10.1109/iecon.2006.347705}}, year = {{2006}}, } @article{16632, author = {{Mehta, Prashant G. and Hessel-von Molo, Mirko and Dellnitz, Michael}}, issn = {{1023-6198}}, journal = {{Journal of Difference Equations and Applications}}, pages = {{1147--1178}}, title = {{{Symmetry of attractors and the Perron-Frobenius operator}}}, doi = {{10.1080/10236190601045788}}, year = {{2006}}, } @article{16641, author = {{Monien, Burkhard and Preis, Robert}}, issn = {{1570-8667}}, journal = {{Journal of Discrete Algorithms}}, pages = {{475--498}}, title = {{{Upper bounds on the Bisection Width of 3- and 4-regular Graphs}}}, doi = {{10.1016/j.jda.2005.12.009}}, year = {{2006}}, } @article{16671, author = {{Sertl, Stefan and Dellnitz, Michael}}, issn = {{0925-5001}}, journal = {{Journal of Global Optimization}}, pages = {{569--587}}, title = {{{Global Optimization using a Dynamical Systems Approach}}}, doi = {{10.1007/s10898-005-4384-5}}, year = {{2006}}, } @article{16674, author = {{Thiere, B.}}, issn = {{0077-8923}}, journal = {{Annals of the New York Academy of Sciences}}, pages = {{44--54}}, title = {{{Return Time Dynamics as a Tool for Finding Almost Invariant Sets}}}, doi = {{10.1196/annals.1370.027}}, year = {{2006}}, } @inbook{20056, author = {{Dellnitz, M. and Junge, O. and Krishnamurthy, A. and Ober-Blöbaum, Sina and Padberg, K. and Preis, R.}}, booktitle = {{Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel & Distributed Computing}}, pages = {{235--247}}, publisher = {{Heinz Nixdorf Institut Verlagsschriftreihe}}, title = {{{Efficient Control of Formation Flying Spacecraft}}}, volume = {{181}}, year = {{2006}}, }