@article{16297,
abstract = {{In real-world problems, uncertainties (e.g., errors in the measurement,
precision errors) often lead to poor performance of numerical algorithms when
not explicitly taken into account. This is also the case for control problems,
where optimal solutions can degrade in quality or even become infeasible. Thus,
there is the need to design methods that can handle uncertainty. In this work,
we consider nonlinear multi-objective optimal control problems with uncertainty
on the initial conditions, and in particular their incorporation into a
feedback loop via model predictive control (MPC). In multi-objective optimal
control, an optimal compromise between multiple conflicting criteria has to be
found. For such problems, not much has been reported in terms of uncertainties.
To address this problem class, we design an offline/online framework to compute
an approximation of efficient control strategies. This approach is closely
related to explicit MPC for nonlinear systems, where the potentially expensive
optimization problem is solved in an offline phase in order to enable fast
solutions in the online phase. In order to reduce the numerical cost of the
offline phase, we exploit symmetries in the control problems. Furthermore, in
order to ensure optimality of the solutions, we include an additional online
optimization step, which is considerably cheaper than the original
multi-objective optimization problem. We test our framework on a car
maneuvering problem where safety and speed are the objectives. The
multi-objective framework allows for online adaptations of the desired
objective. Alternatively, an automatic scalarizing procedure yields very
efficient feedback controls. Our results show that the method is capable of
designing driving strategies that deal better with uncertainties in the initial
conditions, which translates into potentially safer and faster driving
strategies.}},
author = {{Hernández Castellanos, Carlos Ignacio and Ober-Blöbaum, Sina and Peitz, Sebastian}},
journal = {{International Journal of Robust and Nonlinear Control}},
pages = {{7593--7618}},
title = {{{Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty}}},
doi = {{10.1002/rnc.5197}},
volume = {{30(17)}},
year = {{2020}},
}
@article{29398,
author = {{Hernández Castellanos, C. I. O. and Schütze, G. and Sun, J.-Q. and Ober-Blöbaum, Sina and Morales-Luna, G.}},
journal = {{Mathematics}},
title = {{{Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping}}},
volume = {{8(11):1959}},
year = {{2020}},
}
@inproceedings{29422,
author = {{Lishkova, Y. and Ober-Blöbaum, Sina and Cannon, M. and Leyendecker, S.}},
booktitle = {{Accepted for publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe}},
title = {{{A multirate variational approach to simulation and optimal control for flexible spacecraft}}},
year = {{2020}},
}
@inproceedings{29423,
author = {{Faulwasser, T. and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, K. }},
booktitle = {{24th International Symposium on Mathematical Theory of Networks and Systems}},
title = {{{A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems}}},
year = {{2020}},
}
@inproceedings{29424,
author = {{Cresson, J. and Jiménez, F. and Ober-Blöbaum, Sina}},
booktitle = {{24th International Symposium on Mathematical Theory of Networks and Systems}},
title = {{{Modelling of the convection-diffusion equation through fractional restricted calculus of variations}}},
year = {{2020}},
}
@article{29545,
author = {{Jean, Frédéric and Maslovskaya, Sofya and Zelenko, Igor}},
issn = {{0046-5755}},
journal = {{Geometriae Dedicata}},
keywords = {{Geometry and Topology}},
number = {{1}},
pages = {{295--314}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry}}},
doi = {{10.1007/s10711-020-00581-z}},
volume = {{213}},
year = {{2020}},
}
@inproceedings{29546,
author = {{Maslovskaya, Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc, Jean-Luc and Pomet, Jean-Baptiste}},
title = {{{The turnpike property in maximization of microbial metabolite production}}},
year = {{2020}},
}
@inproceedings{3776,
author = {{Chen, Wei-Fan and Al-Khatib, Khalid and Wachsmuth, Henning and Stein, Benno}},
booktitle = {{Proceedings of the Fourth Workshop on Natural Language Processing and Computational Social Science}},
pages = {{149--154}},
title = {{{Analyzing Political Bias and Unfairness in News Articles at Different Levels of Granularity}}},
year = {{2020}},
}
@inproceedings{20137,
author = {{Syed, Shahbaz and Chen, Wei-Fan and Hagen, Matthias and Stein, Benno and Wachsmuth, Henning and Potthast, Martin}},
booktitle = {{Proceedings of the 13th International Conference on Natural Language Generation (INLG 2020)}},
pages = {{237--241}},
title = {{{Task Proposal: Abstractive Snippet Generation for Web Pages}}},
year = {{2020}},
}
@inproceedings{3818,
author = {{Chen, Wei-Fan and Al-Khatib, Khalid and Stein, Benno and Wachsmuth, Henning}},
booktitle = {{Findings of the Association for Computational Linguistics: EMNLP 2020}},
pages = {{4290--4300}},
title = {{{Detecting Media Bias in News Articles using Gaussian Bias Distributions}}},
year = {{2020}},
}
@inproceedings{15826,
author = {{Chen, Wei-Fan and Syed, Shahbaz and Stein, Benno and Hagen, Matthias and Potthast, Martin}},
booktitle = {{Proceedings of the Web Conference 2020}},
pages = {{1309--1319}},
title = {{{Abstractive Snippet Generation}}},
year = {{2020}},
}
@inproceedings{16868,
author = {{Alshomary, Milad and Syed, Shahbaz and Potthast, Martin and Wachsmuth, Henning}},
booktitle = {{Proceedings of 58th Annual Meeting of the Association for Computational Linguistics (ACL 2020)}},
location = {{Seattle, USA}},
pages = {{4334--4345}},
publisher = {{Association for Computational Linguistics}},
title = {{{Target Inference in Argument Conclusion Generation}}},
year = {{2020}},
}
@inproceedings{29200,
author = {{Sadeghi-Kohan, Somayeh and Hellebrand, Sybille}},
booktitle = {{38th IEEE VLSI Test Symposium (VTS)}},
publisher = {{IEEE}},
title = {{{Dynamic Multi-Frequency Test Method for Hidden Interconnect Defects}}},
doi = {{10.1109/vts48691.2020.9107591}},
year = {{2020}},
}
@inproceedings{19421,
author = {{Holst, Stefan and Kampmann, Matthias and Sprenger, Alexander and Reimer, Jan Dennis and Hellebrand, Sybille and Wunderlich, Hans-Joachim and Weng, Xiaoqing}},
booktitle = {{IEEE International Test Conference (ITC'20), November 2020}},
title = {{{Logic Fault Diagnosis of Hidden Delay Defects}}},
year = {{2020}},
}
@article{31264,
abstract = {{AbstractGiven a closed orientable hyperbolic manifold of dimension $$\ne 3$$
≠
3
we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.
}},
author = {{Küster, Benjamin and Weich, Tobias}},
issn = {{0010-3616}},
journal = {{Communications in Mathematical Physics}},
keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{2}},
pages = {{917--941}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Pollicott-Ruelle Resonant States and Betti Numbers}}},
doi = {{10.1007/s00220-020-03793-2}},
volume = {{378}},
year = {{2020}},
}
@inproceedings{31372,
author = {{Hoffmann, Max}},
booktitle = {{Beiträge zum Mathematikunterricht 2020}},
editor = {{Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz}},
pages = {{1353--1356}},
publisher = {{WTM-Verlag}},
title = {{{Schnittstellenaktivitäten zum Kongruenzsatz WSW}}},
doi = {{10.17877/DE290R-21368}},
year = {{2020}},
}
@misc{31386,
author = {{Hoffmann, Max}},
booktitle = {{Mathematische Semesterberichte}},
pages = {{119–121}},
title = {{{Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy of Integers and Permutations}}},
doi = {{10.1007/s00591-019-00269-w}},
volume = {{67}},
year = {{2020}},
}
@misc{31384,
author = {{Hoffmann, Max}},
booktitle = {{Mathematische Semesterberichte}},
pages = {{115–116}},
title = {{{Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose}}},
doi = {{10.1007/s00591-019-00264-1}},
volume = {{67}},
year = {{2020}},
}
@book{31381,
editor = {{Hoffmann, Max}},
title = {{{Der Mathematikunterricht 66 (6): Geometrie in Schule und Lehramtsausbildung – ein Nachwuchsheft}}},
year = {{2020}},
}
@inbook{31551,
author = {{Häsel-Weide, Uta and Nührenbörger, Marcus}},
booktitle = {{Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen}},
editor = {{Hecker, Ulrich and Lassek, Maresi and Ramseger, Jörg}},
pages = {{108--118}},
publisher = {{Grundschulverband}},
title = {{{Tragfähige Grundlagen}}},
volume = {{Band 150}},
year = {{2020}},
}