Publikationen an der Fakultät für Mathematik und Naturwissenschaften ab 2019

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Schweser, Thomas; Stiebitz, Michael
Partitions of hypergraphs under variable degeneracy constraints. - In: Journal of graph theory, ISSN 1097-0118, Bd. 96 (2021), 1, S. 7-33

https://doi.org/10.1002/jgt.22575
Esterhuizen, Willem; Worthmann, Karl; Streif, Stefan
Recursive feasibility of continuous-time model predictive control without stabilising constraints. - In: IEEE control systems letters, ISSN 2475-1456, Bd. 5 (2021), 1, S. 265-270

https://doi.org/10.1109/LCSYS.2020.3001514
Behrens, Arne; Bosch, Martí; Hentschel, Martina; Sinzinger, Stefan
Deformed microcavities with very high Q-factors and directional farfield emission. - In: EOS Annual Meeting (EOSAM 2020), (2020), 01006, S. 1-2

We report the design and optimized fabrication of deformed whispering gallery mode resonators in silica with solely ICP-RIE. This allows us to control the morphology of the resonators more freely and results in low surface roughness. The light was coupled into the resonator using a state of the art tapered fiber approach and we determined the Q-factor in the range of 10^5



https://doi.org/10.1051/epjconf/202023801006
Mendl, Alexander; Köhler, Michael; Boskovic, Dusan
Fast reaction screening combining segmentet flow microfluidics and surface enhanced Raman spectroscopy. - In: 23rd International Conference on Miniaturized Systems for Chemistry and Life Sciences (MicroTAS 2019), (2020), S. 1368-1369

Liu, Jing; Zhu, Chuhong; Pan, Qijun; Meng, Guowen; Lei, Yong
Ag-nanoparticles-decorated Ge-nanowhisker grafted on carbon fiber cloth as flexible and effective SERS substrates. - In: ChemistrySelect, ISSN 2365-6549, Bd. 5 (2020), 27, S. 8338-8343

Three-dimensional (3D) flexible surface enhanced Raman scattering (SERS) substrates of silver nanoparticles (Ag-NPs) decorated Germanium nanowhiskers (Ge-NWHKs) grafted on carbon fiber cloth (CFC) (denoted as Ag-NPsGe-NWHKs@CFC) are constructed via chemical vapor deposition growth of high-density Ge-NWHKs on CFC and then assembly of Ag-NPs on the Ge-NWHKs by galvanic displacement. Ordered 3D framework of Ge-NWHKs grafted flexible CFC impels the formation of large amounts of Ag-NPs with homogenous distribution via spontaneous reduction of Ag+ ions. Thus, the Ag-NPs@Ge-NWHKs@CFC SERS substrates present ultra-high sensitivity, good reproducibility, and high flexibility. This SERS sensor has achieved a detection limit of 1 pM for Rhodamine 6G and 0.1 nM for thiram respectively. The as-fabricated SERS substrates show promising potential for applications in rapid detection of trace organic pollutants in the aquatic environment.



https://doi.org/10.1002/slct.202001290
Ivanov, Svetlozar; Link, Steffen; Dimitrova, Anna; Krischok, Stefan; Bund, Andreas
Electrochemical nucleation of silicon in ionic liquid-based electrolytes. - In: Meeting abstracts, ISSN 2151-2043, Bd. MA2020-01 (2020), 19, 1181

https://doi.org/10.1149/MA2020-01191181mtgabs
Gernandt, Hannes; Moalla, Nedra; Philipp, Friedrich; Selmi, Wafa; Trunk, Carsten
Invariance of the essential spectra of operator pencils. - In: Operator theory, operator algebras and their interactions with geometry and topology, (2020), S. 203-219

Sauerteig, Philipp; Jiang, Yuning; Houska, Boris; Worthmann, Karl
Distributed control enforcing group sparsity in smart grids. - In: IFAC-PapersOnLine, ISSN 2405-8963, Bd. 53 (2020), 2, S. 13269-13274

In modern smart grids, charging of local energy storage devices is coordinated within the distribution grid to compensate the volatile aggregated power demand on the time interval of interest. However, this results in a perpetual usage of all batteries which in return reduces their lifetime. In this paper, we enforce group sparsity by using an lp,q-regularization on the control to counteract this phenomenon. This leads to a non-smooth convex optimization problem, for which a tailored Alternating Direction Method of Multipliers algorithm is proposed. Furthermore, the algorithm is embedded in a Model Predictive Control framework. Numerical simulations show that the proposed scheme yields sparse control while achieving reasonable overall peak shaving.



https://doi.org/10.1016/j.ifacol.2020.12.156
Berger, Thomas; Kästner, Carolin; Worthmann, Karl
Learning-based funnel-MPC for output-constrained nonlinear systems. - In: IFAC-PapersOnLine, ISSN 2405-8963, Bd. 53 (2020), 2, S. 5177-5182

We exploit an adaptive control technique, namely funnel control, to establish both initial and recursive feasibility in Model Predictive Control (MPC) for output-constrained nonlinear systems. Moreover, we show that the resulting feedback controller outperforms the funnel controller both w.r.t. the required sampling rate for a zero-order-hold implementation and required control action. We further propose a combination of funnel control and MPC, exploiting the performance guarantees of the model-free funnel controller during a learning phase and the advantages of the model-based MPC scheme thereafter.



https://doi.org/10.1016/j.ifacol.2020.12.1186
Täuscher, Eric;
Salpetersäure zum Rauchen bringen. - In: Nachrichten aus der Chemie, ISSN 1868-0054, Bd. 68 (2020), 10, S. 20-22

Rauchende Salpetersäure ist im Handel nur hochrein zu kaufen und daher teuer - zu teuer für Hochschulpraktika. An der TU Ilmenau synthetisieren die Studierenden die HNO3 nun selbst als Praktikumsversuch und nutzen dafür historische Anleitungen.



https://doi.org/10.1002/nadc.20204101724