@inproceedings{8759, abstract = {{In a wide range of applications, it is desirable to optimally control a system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a single optimal solution, the set of optimal compromises, the so-called Pareto set, has to be approximated. When it is not possible to compute the entire control trajectory in advance, for instance due to uncertainties or unforeseeable events, model predictive control methods can be applied to control the system during operation in real time. In this article, we present an algorithm for the solution of multiobjective model predictive control problems. In an offline scenario, it can be used to compute the entire set of optimal compromises whereas in a real time scenario, one optimal compromise is computed according to an operator's preference. The results are illustrated using the example of an industrial laundry. A logistics model of the laundry is developed and then utilized in the optimization routine. Results are presented for an offline as well as an online scenario.}}, author = {{Peitz, Sebastian and Gräler, Manuel and Henke, Christian and Molo, Mirko Hessel-von and Dellnitz, Michael and Trächtler, Ansgar}}, booktitle = {{Procedia Technology}}, issn = {{2212-0173}}, pages = {{483--490}}, title = {{{Multiobjective Model Predictive Control of an Industrial Laundry}}}, doi = {{10.1016/j.protcy.2016.08.061}}, year = {{2016}}, } @misc{6569, author = {{Jurgelucks, Benjamin and Claes, Leander}}, title = {{{Increasing the Sensitivity of Impedance with Respect to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers using Algorithmic Differentiation}}}, year = {{2016}}, } @inproceedings{6570, author = {{Jurgelucks, Benjamin and Claes, Leander}}, booktitle = {{AD2016 The 7th International Conference on Algorithmic Differentiation}}, location = {{Christ Church, Oxford, United Kingdom}}, pages = {{99--102}}, title = {{{Optimisation of triple-ring-electrodes on piezoceramic transducers using algorithmic differentiation}}}, year = {{2016}}, } @inbook{16579, author = {{Dellnitz, Michael and Eckstein, Julian and Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}}, booktitle = {{Mathematics in Industry}}, isbn = {{9783319234120}}, issn = {{1612-3956}}, title = {{{Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control}}}, doi = {{10.1007/978-3-319-23413-7_87}}, year = {{2016}}, } @article{16580, author = {{Ziessler, Adrian and Molo, Mirko Hessel-Von and Dellnitz, Michael}}, issn = {{2158-2491}}, journal = {{Journal of Computational Dynamics}}, pages = {{5--5}}, title = {{{On the computation of attractors for delay differential equations}}}, doi = {{10.3934/jcd.2016005}}, year = {{2016}}, } @inproceedings{31799, author = {{Häsel-Weide, Uta}}, booktitle = {{Beiträge zum Mathematikunterricht. Vorträge auf der 50. Tagung für Didaktik der Mathematik}}, editor = {{Institut für Mathematik und Informatik der Pädagogischen Hochschule Heidelberg, In}}, location = {{Heidelberg}}, pages = {{365--369}}, publisher = {{WTM}}, title = {{{»Mathematik inklusive«: Lernchancen im inklusiven Anfangsunterricht.}}}, volume = {{1}}, year = {{2016}}, } @inproceedings{31798, author = {{Häsel-Weide, Uta}}, booktitle = {{Tagungsband des AK Grundschule in der GDM 2016}}, editor = {{Steinweg, A. S.}}, pages = {{9--24}}, publisher = {{University of Bamberg Press}}, title = {{{Mathematik gemeinsam lernen - Lernumgebungen für den inklusiven Mathematikunterricht.}}}, year = {{2016}}, } @article{31800, author = {{Häsel-Weide, Uta}}, journal = {{Sonderpädagogische Förderung heute}}, number = {{61}}, pages = {{356--368}}, title = {{{"Merit hat 4 von 5 Subtraktionsaufgaben durch Rückwärtszählen gelöst". Leistungsbeurteilung im inklusiven Mathematikunterricht}}}, volume = {{4}}, year = {{2016}}, } @book{31801, author = {{Häsel-Weide, Uta}}, isbn = {{978-3658106935}}, pages = {{252}}, publisher = {{Springer Spektrum}}, title = {{{Vom Zählen zum Rechnen. Struktur-fokussierende Deutungen in kooperativen Lernumgebungen.}}}, year = {{2016}}, } @article{31797, author = {{Häsel-Weide, Uta}}, journal = {{Grundschulunterricht Mathematik}}, number = {{1}}, pages = {{30--33}}, title = {{{Gemeinsam ordnen – gemeinsam lernen. Mathematische Strukturen sichtbar machen. }}}, year = {{2016}}, } @article{34660, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0272-4960}}, journal = {{IMA Journal of Applied Mathematics}}, keywords = {{Applied Mathematics}}, number = {{5}}, pages = {{860--876}}, publisher = {{Oxford University Press (OUP)}}, title = {{{On the weakly competitive case in a two-species chemotaxis model}}}, doi = {{10.1093/imamat/hxw036}}, volume = {{81}}, year = {{2016}}, } @article{34662, author = {{Black, Tobias}}, issn = {{0022-247X}}, journal = {{Journal of Mathematical Analysis and Applications}}, keywords = {{Applied Mathematics, Analysis}}, number = {{1}}, pages = {{436--455}}, publisher = {{Elsevier BV}}, title = {{{Boundedness in a Keller–Segel system with external signal production}}}, doi = {{10.1016/j.jmaa.2016.08.049}}, volume = {{446}}, year = {{2016}}, } @article{34659, author = {{Black, Tobias}}, issn = {{0951-7715}}, journal = {{Nonlinearity}}, keywords = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{6}}, pages = {{1865--1886}}, publisher = {{IOP Publishing}}, title = {{{Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant}}}, doi = {{10.1088/0951-7715/29/6/1865}}, volume = {{29}}, year = {{2016}}, } @article{34661, author = {{Black, Tobias}}, issn = {{1468-1218}}, journal = {{Nonlinear Analysis: Real World Applications}}, keywords = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}}, pages = {{593--609}}, publisher = {{Elsevier BV}}, title = {{{Sublinear signal production in a two-dimensional Keller–Segel–Stokes system}}}, doi = {{10.1016/j.nonrwa.2016.03.008}}, volume = {{31}}, year = {{2016}}, } @inproceedings{8758, abstract = {{In this contribution we compare two different approaches to the implementation of a Model Predictive Controller in an electric vehicle with respect to the quality of the solution and real-time applicability. The goal is to develop an intelligent cruise control in order to extend the vehicle range, i.e. to minimize energy consumption, by computing the optimal torque profile for a given track. On the one hand, a path-based linear model with strong simplifications regarding the vehicle dynamics is used. On the other hand, a nonlinear model is employed in which the dynamics of the mechanical and electrical subsystem are modeled.}}, author = {{Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Hessel von Molo, Mirko and Ober-Blöbaum, Sina and Dellnitz, Michael}}, booktitle = {{Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering}}, issn = {{2212-0173}}, pages = {{465--472}}, title = {{{A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles}}}, doi = {{10.1016/j.protcy.2016.08.059}}, volume = {{26}}, year = {{2016}}, } @inproceedings{29435, author = {{Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }}, booktitle = {{ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering}}, pages = {{1818--1831}}, title = {{{Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials}}}, year = {{2016}}, } @inproceedings{29432, author = {{Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }}, booktitle = {{International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)}}, title = {{{Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods}}}, year = {{2016}}, } @inproceedings{29433, author = {{Peitz, Sebastian and Ober-Blöbaum, Sina and Dellnitz, M.}}, booktitle = {{Proceedings of International Congress of Theoretical and Applied Mechanics}}, title = {{{Reduced order model based multiobjective optimal control of fluids}}}, year = {{2016}}, } @inproceedings{29436, author = {{Stellato, B. and Ober-Blöbaum, Sina and Goulart, P.J. }}, booktitle = {{2016 IEEE 55th Conference on Decision and Control (CDC)}}, pages = {{7228--7233}}, title = {{{Optimal control of switching times in switched linear systems}}}, year = {{2016}}, } @article{31274, author = {{Borthwick, David and Weich, Tobias}}, issn = {{1664-039X}}, journal = {{Journal of Spectral Theory}}, keywords = {{Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{2}}, pages = {{267--329}}, publisher = {{European Mathematical Society - EMS - Publishing House GmbH}}, title = {{{Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions}}}, doi = {{10.4171/jst/125}}, volume = {{6}}, year = {{2016}}, }