Miscellaneous publications
(8) S. Trenn
Steckbrief
Preprint (German) GAMM Rundbrief 2014/2, pages 13-14 (German).
(7) S. Trenn
A Mathematica package for the calculus of piecewise-smooth distributions
DpwSmooth-package Documentation (nb-file)
(6) S. Trenn
Am Anfang waren Blitze
Competition contribution for the Klaus-Tschira-Preis 2010
Wettbewerbsbeitrag (German)
(5) S. Trenn
Distributional differential algebraic equations
Dissertation, Ilmenau University of Technology, 2009
Dissertation (official website) pdf download
(4) S. Trenn
Quantitative analysis of neural networks as universal function approximators
Diploma Thesis, Ilmenau University of Technology, 2006
Diploma Thesis Presentation 1 (German) Presentation 2 (German)
(3) S. Trenn
Performance and robustness of switched control with experimental verification
Technical report, Ilmenau University of Technology, 2005
(2) S. Trenn
Hardy spaces and robustness of linear systems
Diploma Thesis, Ilmenau University of Technology, 2004
(1) C. Rebel and S. Trenn
Kürschaksche 2n-Ecke
Die Wurzel, Zeitschrift für Mathematik 34 (2000), 2 a. 3+4, 26 - 33 a. 75 - 80
Article: Part 1 and Part 2 (both German)
Supervised Theses
(20) Ferdinand Küsters (ongoing)
PhD thesis: Nonlinear switched DAEs: analysis, control theory and application to power networks
joint supervision with Dr. Andreas Wirsen, Fraunhofer ITWM, Kaiserslautern
(19) Rukhsana Kausar (ongoing)
PhD-thesis: Analysis and control of water distribution networks in the framework of switched DAEs
(18) Randolf Scholz (ongoing)
Master-thesis: Ultrafunctions and their application to switched DAEs coupled with hyperbolic PDEs
(17) Elisa Mostacciuolo (August 2016, Uni. Benevento, Italy)
PhD-thesis: State-space averaging for switched differential algebraic equations
six-month guest supervision, main supervisor Prof. Francesco Vasca, Uni. Benevento, Italy
(16) Andreas Barthlen (June 2016, TU Kaiserslautern)
PhD thesis: Stability preservation for parametric model order reduction by matrix interpolation
joint supervision with Dr. Patrick Lang, Fraunhofer ITWM, Kaiserslautern
(15) Giuliano Costantini (June 2016, TU Kaiserslautern)
Master thesis: Observer-Based Model Predictive Control of Switched Systems
joint supervision with Jun.-Prof. Daniel Görges, Department of Electrical and Computer Engineering, TU Kaiserslautern
(14) Tjorben Groß (October 2015, TU Kaiserslautern)
PhD thesis: DAE-Modellierung und mathematische Stabilitätsanalyse von Energieversorgungsnetzen
joint supervision with Dr. Andreas Wirsen, Fraunhofer ITWM, Kaiserslautern
(13) Mirjam Wehr (August 2015, TU Kaiserslautern)
Bachelor thesis: Comparison between two solution formulas of DAEs, the Quasi-Weierstraß Form and Drazin Inverse
(12) Ferdinand Küsters (March 2015, TU Kaiserslautern)
Master thesis: Duality concepts for switched DAEs
(11) Markus G.-M. Ruppert (July 2014, TU Kaiserslautern)
Master thesis: Kontrollierbarkeit von geschalteten DAE-Systemen
(10) Daniel Bankmann (September 2013, TU Kaiserslautern)
Bachelor thesis: Zeitvariante Wongsequenzen: Ideen und Fallbeispiele
(9) Carmen Pedicini (July 2013, Uni. Benevento, Italy)
PhD thesis: Averaging Techniques for Switched Systems
six-month guest supervision, main supervisors Prof. Luigi Iannelli and Prof. Francesco Vasca, Uni. Benevento, Italy
(8) Thomas Cullum (April 2013, TU Kaiserslautern)
Bachelor thesis: Approximationsordnung von MLPs: Hinreichende Neuronenanzahl
(7) Ferdinand Küsters (February 2013, TU Kaiserslautern)
Bachelor thesis: Zusammenhang zwischen Wong-Sequenzen und März-Projektoren für differential-algebraische
Gleichungen
(6) Lisa Trierweiler (January 2013, TU Kaiserslautern)
Diploma thesis: Parametric Model Order Reduction of Industrial Production Processes
joint supervision with Dr. Patrick Lang, Fraunhofer ITWM, Kaiserslautern
(5) Johannes Koch (September 2012, TU Kaiserslautern)
Bachelor thesis: Vergleich und Analyse verschiedener Konzepte zur modellbasierten prädiktiven Regelung eines
Haushaltskühlschranks
joint supervision with Dr. A. Wirsen, Fraunhofer ITWM, Kaiserslautern
(4) Richard J. Reisacher (August 2012, TU Kaiserslautern)
Bachelor thesis: Jump rules in complementarity systems and switched differential-algebraic equations
(3) Giuliano Costantini (July 2012, Uni. Benevento, Italy)
Tesi di Laurea: State jumps in electrical circuits
joint supervision with Prof. F. Vasca, University of Benevento, Italy
(2) Stefan Brechtken (February 2009, TU Ilmenau)
Bachelor thesis: Fehlerschranken bei symbolischer Approximation von DAEs
(1) Thomas Berger (October 2008, TU Ilmenau)
Bachelor thesis: Zur asymptotischen Stabilität linearer differential-algebraischer Gleichungen