Publications

Below you find an interactive list of all my publications, which can be filtered by keywords, year, publication type and coauthors. There are also static lists of my books/book-chapters as well as  journal-, conference-, and submitted publications.

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2024

Wijnbergen, Paul; Trenn, Stephan

Impulse-controllability of system classes of switched differential algebraic equations Journal Article

In: Mathematics of Control, Signals, and Systems, vol. 36, iss. 2, 2024, (to appear, open access).

Abstract | Links | BibTeX | Tags: controllability, DAEs, piecewise-smooth-distributions, switched-DAEs, switched-systems

2023

Wijnbergen, Paul; Trenn, Stephan

Impulse-free linear quadratic optimal control of switched differential algebraic equations Unpublished

2023, (submitted).

Abstract | Links | BibTeX | Tags: optimal-control, piecewise-smooth-distributions, switched-DAEs, switched-systems

2022

Wijnbergen, Paul; Trenn, Stephan

Impulse-controllability of system classes of switched DAEs Miscellaneous

Book of Abstracts - 41th Benelux Meeting on Systems and Control, 2022.

Links | BibTeX | Tags: controllability, DAEs, piecewise-smooth-distributions, switched-DAEs, switched-systems

2021

Trenn, Stephan

Distributional restriction impossible to define Journal Article

In: Examples and Counterexamples, vol. 1, no. 100023, pp. 1-4, 2021, (open access).

Abstract | Links | BibTeX | Tags: piecewise-smooth-distributions, solution-theory

Trenn, Stephan; Unger, Benjamin

Unimodular transformations for DAE initial trajectory problems Proceedings Article

In: PAMM · Proc. Appl. Math. Mech., pp. e202000322, Wiley-VCH GmbH, 2021, (Open Access.).

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, solution-theory

Wijnbergen, Paul; Trenn, Stephan

Impulse-free interval-stabilization of switched differential algebraic equations Journal Article

In: Systems & Control Letters, vol. 149, pp. 104870.1-10, 2021, (Open Access.).

Abstract | Links | BibTeX | Tags: controllability, piecewise-smooth-distributions, stability, switched-DAEs, switched-systems

2020

Borsche, Raul; Kocoglu, Damla; Trenn, Stephan

A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs Journal Article

In: Mathematics of Control, Signals, and Systems (MCSS), vol. 32, pp. 455-487, 2020, (Open Access).

Abstract | Links | BibTeX | Tags: DAEs, delay, networks, PDEs, piecewise-smooth-distributions, solution-theory, switched-DAEs

Wijnbergen, Paul; Trenn, Stephan

Impulse controllability of switched differential-algebraic equations Proceedings Article

In: Proc. European Control Conference (ECC 2020), pp. 1561-1566, Saint Petersburg, Russia, 2020.

Abstract | Links | BibTeX | Tags: controllability, DAEs, piecewise-smooth-distributions, switched-DAEs, switched-systems

Trenn, Stephan

The Laplace transform and inconsistent initial values Miscellaneous

Extended Abstract, 2020, (accepted for cancelled MTNS 20/21, presented at MTNS 2022).

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, solution-theory, switched-DAEs

2019

Tanwani, Aneel; Trenn, Stephan

Detectability and observer design for switched differential algebraic equations Journal Article

In: Automatica, vol. 99, pp. 289-300, 2019.

Abstract | Links | BibTeX | Tags: DAEs, observability, observer, piecewise-smooth-distributions, switched-DAEs, switched-systems

2018

Kausar, Rukhsana; Trenn, Stephan

Water hammer modeling for water networks via hyperbolic PDEs and switched DAEs Proceedings Article

In: Klingenberg, Christian; Westdickenberg, Michael (Ed.): Theory, Numerics and Applications of Hyperbolic Problems II, pp. 123-135, Springer, Cham, 2018, ISBN: 978-3-319-91548-7, (Presented at XVI International Conference on Hyperbolic Problems (HYP2016), Aachen).

Abstract | Links | BibTeX | Tags: application, DAEs, nonlinear, PDEs, piecewise-smooth-distributions, solution-theory, switched-DAEs, switched-systems

2017

Kausar, Rukhsana; Trenn, Stephan

Impulses in structured nonlinear switched DAEs Proceedings Article

In: Proc. 56th IEEE Conf. Decis. Control, pp. 3181 - 3186, Melbourne, Australia, 2017.

Abstract | Links | BibTeX | Tags: application, DAEs, nonlinear, piecewise-smooth-distributions, solution-theory, switched-DAEs, switched-systems

Küsters, Ferdinand; Trenn, Stephan; Wirsen, Andreas

Switch observability for homogeneous switched DAEs Proceedings Article

In: Proc. 20th IFAC World Congress 2017, pp. 9355 - 9360, Toulouse, France, 2017, ISSN: 2405-8963.

Abstract | Links | BibTeX | Tags: observability, observer, piecewise-smooth-distributions, switched-DAEs, switched-systems

Tanwani, Aneel; Trenn, Stephan

Observer design for detectable switched differential-algebraic equations Proceedings Article

In: Proc. 20th IFAC World Congress 2017, pp. 2953 - 2958, Toulouse, France, 2017, ISSN: 2405-8963.

Abstract | Links | BibTeX | Tags: DAEs, observability, observer, piecewise-smooth-distributions, stability, switched-DAEs, switched-systems

Tanwani, Aneel; Trenn, Stephan

Determinability and state estimation for switched differential–algebraic equations Journal Article

In: Automatica, vol. 76, pp. 17–31, 2017, ISSN: 0005-1098.

Abstract | Links | BibTeX | Tags: DAEs, observability, observer, piecewise-smooth-distributions, switched-DAEs, switched-systems

2016

Küsters, Ferdinand; Trenn, Stephan

Duality of switched DAEs Journal Article

In: Math. Control Signals Syst., vol. 28, no. 3, pp. 25, 2016.

Abstract | Links | BibTeX | Tags: controllability, DAEs, observability, piecewise-smooth-distributions, switched-DAEs, switched-systems

2015

Trenn, Stephan

Distributional averaging of switched DAEs with two modes Proceedings Article

In: Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 3616–3620, 2015.

Abstract | Links | BibTeX | Tags: averaging, DAEs, piecewise-smooth-distributions, switched-DAEs, switched-systems

2013

Tanwani, Aneel; Trenn, Stephan

An observer for switched differential-algebraic equations based on geometric characterization of observability Proceedings Article

In: Proc. 52nd IEEE Conf. Decis. Control, Florence, Italy, pp. 5981–5986, 2013.

Abstract | Links | BibTeX | Tags: DAEs, observability, observer, piecewise-smooth-distributions, switched-DAEs, switched-systems

2012

Trenn, Stephan; Willems, Jan C.

Switched behaviors with impulses - a unifying framework Proceedings Article

In: Proc. 51st IEEE Conf. Decis. Control, Maui, USA, pp. 3203-3208, 2012, ISSN: 0743-1546.

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, switched-DAEs, switched-systems

Trenn, Stephan

Switched differential algebraic equations Book Section

In: Vasca, Francesco; Iannelli, Luigi (Ed.): Dynamics and Control of Switched Electronic Systems - Advanced Perspectives for Modeling, Simulation and Control of Power Converters, pp. 189–216, Springer, London, 2012.

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, solution-theory, switched-DAEs, switched-systems

2010

Domínguez-García, Alejandro D.; Trenn, Stephan

Detection of impulsive effects in switched DAEs with applications to power electronics reliability analysis Proceedings Article

In: Proc. 49th IEEE Conf. Decis. Control, Atlanta, USA, pp. 5662–5667, 2010.

Abstract | Links | BibTeX | Tags: application, DAEs, piecewise-smooth-distributions, switched-DAEs, switched-systems

Tanwani, Aneel; Trenn, Stephan

On observability of switched differential-algebraic equations Proceedings Article

In: Proc. 49th IEEE Conf. Decis. Control, Atlanta, USA, pp. 5656–5661, 2010.

Abstract | Links | BibTeX | Tags: DAEs, observability, piecewise-smooth-distributions, switched-DAEs, switched-systems

2009

Trenn, Stephan

Regularity of distributional differential algebraic equations Journal Article

In: Math. Control Signals Syst., vol. 21, no. 3, pp. 229–264, 2009.

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, solution-theory

Trenn, Stephan

Impulse free solutions for switched differential algebraic equations Miscellaneous

Preprint, 2009, (After the initial submission, I decided not to revise this manuscript and instead included most of the content in the paper "Switched nonlinear differential algebraic equations: Solution theory, Lyapunov functions, and stability" (joint work with Daniel Liberzon), which appeared 2012 in Automatica.).

Abstract | Links | BibTeX | Tags: piecewise-smooth-distributions, solution-theory, switched-DAEs, switched-systems

Trenn, Stephan

Distributional differential algebraic equations PhD Thesis

Institut für Mathematik, Technische Universität Ilmenau, 2009.

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, solution-theory, switched-DAEs, switched-systems

2008

Trenn, Stephan

Distributional solution theory for linear DAEs Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 10077–10080, WILEY-VCH Verlag, 2008, ISSN: 1617--7061.

Abstract | Links | BibTeX | Tags: DAEs, piecewise-smooth-distributions, solution-theory