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.

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

Mostacciuolo, Elisa; Trenn, Stephan; Vasca, Francesco

Averaging for switched impulsive systems with pulse width modulation Journal Article

In: Automatica, vol. 160, no. 111447, pp. 1-12, 2024, (open access).

Abstract | Links | BibTeX | Tags: application, averaging, DAEs, LMIs, switched-DAEs, switched-systems

Hossain, Sumon; Trenn, Stephan

Midpoint based balanced truncation for switched linear systems with known switching signal Journal Article

In: IEEE Transactions on Automatic Control, vol. 69, no. 1, pp. 535-542, 2024.

Abstract | Links | BibTeX | Tags: controllability, model-reduction, observability, switched-systems

Sutrisno,; Trenn, Stephan

Switched linear singular systems in discrete time: Solution theory and observability notions Journal Article

In: Systems & Control Letters, vol. 183, no. 105674, pp. 1-11, 2024, (open access).

Abstract | Links | BibTeX | Tags: DAEs, discrete-time, observability, solution-theory, switched-DAEs, switched-systems

2023

Chang, Hamin; Trenn, Stephan

Design of Q-filter-based disturbance observer for differential algebraic equations and a robust stability condition: Zero relative degree case Proceedings Article

In: Proc. 62nd IEEE Conf. Decision Control, pp. 8489-8494, IEEE, 2023.

Abstract | Links | BibTeX | Tags: DAEs, observer, relative-degree, stability

Sutrisno,; Trenn, Stephan

Inhomogeneous singular linear switched systems in discrete time: Solvability, reachability, and controllability Characterizations Proceedings Article

In: Proc. 62nd IEEE Conf. Decision Control, pp. 5869-5874, IEEE, Singapore, 2023.

Abstract | Links | BibTeX | Tags: controllability, DAEs, discrete-time, solution-theory, switched-DAEs, switched-systems

Sutrisno,; Yin, Hao; Trenn, Stephan; Jayawardhana, Bayu

Nonlinear singular switched systems in discrete-time: solution theory and incremental stability under restricted switching signals Proceedings Article

In: Proc. 62nd IEEE Conf. Decision Control, pp. 914-919, IEEE, Singapore, 2023.

Abstract | Links | BibTeX | Tags: DAEs, discrete-time, nonlinear, solution-theory, stability, switched-DAEs, switched-systems

Lanza, Lukas; Dennstädt, Dario; Worthmann, Karl; Schmitz, Philipp; Sen, Gökcen Devlet; Trenn, Stephan; Schaller, Manuel

Control and safe continual learning of output-constrained nonlinear systems Unpublished

2023, (submitted).

Abstract | Links | BibTeX | Tags: discrete-time, funnel-control, input-constraints, relative-degree

Yin, Hao; Jayawardhana, Bayu; Trenn, Stephan

Output contraction analysis of nonlinear systems Unpublished

2023, (submitted).

Abstract | Links | BibTeX | Tags: nonlinear, stability

Sutrisno,; Trenn, Stephan

Nonlinear switched singular systems in discrete-time: The one-step map and stability under arbitrary switching signals Journal Article

In: European Journal of Control, vol. 74, no. 100852, pp. 1-7, 2023, (presented at the 2023 European Control Conference, Bucharest, Rumania; open access).

Abstract | Links | BibTeX | Tags: DAEs, discrete-time, nonlinear, solution-theory, stability, switched-DAEs, switched-systems

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

Berger, Thomas; Hackl, Christoph M.; Trenn, Stephan

Asymptotic tracking by funnel control with internal models Unpublished

2023, (submitted).

Abstract | Links | BibTeX | Tags: funnel-control, relative-degree, stability

Lee, Jin Gyu; Berger, Thomas; Trenn, Stephan; Shim, Hyungbo

Edge-wise funnel output synchronization of heterogeneous agents with relative degree one Journal Article

In: Automatica, vol. 156, no. 111204, pp. 1-10, 2023, (open access).

Abstract | Links | BibTeX | Tags: funnel-control, networks, nonlinear, relative-degree, synchronization

Yin, Hao; Jayawardhana, Bayu; Trenn, Stephan

On contraction analysis of switched systems with mixed contracting-noncontracting modes via mode-dependent average dwell time Journal Article

In: IEEE Transactions on Automatic Control, vol. 68, iss. 10, pp. 6409-6416, 2023.

Abstract | Links | BibTeX | Tags: LMIs, Lyapunov, nonlinear, stability, switched-systems

Chen, Yahao; Trenn, Stephan

On impulse-free solutions and stability of switched nonlinear differential-algebraic equations Journal Article

In: Automatica, vol. 156, no. 111208, pp. 1-14, 2023.

Abstract | Links | BibTeX | Tags: DAEs, Lyapunov, nonlinear, normal-forms, solution-theory, stability, switched-DAEs, switched-systems

Yin, Hao; Jayawardhana, Bayu; Trenn, Stephan

Stability of switched systems with multiple equilibria: a mixed stable-unstable subsystem case Journal Article

In: Systems & Control Letters, vol. 180, no. 105622, pp. 1-9, 2023, (open access).

Abstract | Links | BibTeX | Tags: LMIs, Lyapunov, stability, switched-systems

Yin, Hao; Jayawardhana, Bayu; Trenn, Stephan

Contraction analysis of time-varying DAE systems via auxiliary ODE systems Unpublished

2023, (submitted).

Links | BibTeX | Tags: DAEs, nonlinear, observer, stability

Hu, Jiaming; Trenn, Stephan; Zhu, Xiaojin

A novel two stages funnel controller limiting the error derivative Journal Article

In: Systems & Control Letters, vol. 179, no. 105601, pp. 1-10, 2023, (open access).

Abstract | Links | BibTeX | Tags: funnel-control, input-constraints, nonlinear, relative-degree

Hossain, Sumon; Trenn, Stephan

Model reduction for switched differential-algebraic equations with known switching signal Unpublished

2023, (submitted).

Abstract | Links | BibTeX | Tags: model-reduction, switched-DAEs

Hossain, Sumon; Trenn, Stephan

Reduced realization for switched linear systems with known mode sequence Journal Article

In: Automatica, vol. 154, no. 111065, pp. 1-9, 2023, (open access).

Abstract | Links | BibTeX | Tags: controllability, model-reduction, observability, switched-systems

Sutrisno,; Trenn, Stephan

Reachability and Controllability Characterizations for Linear Switched Systems in Discrete Time: A Geometric Approach Proceedings Article

In: Proc. 2023 European Control Conference (ECC), pp. 2227-2232, Bucharest, Rumania , 2023.

Abstract | Links | BibTeX | Tags: controllability, discrete-time, switched-systems

2022

Chen, Yahao; Trenn, Stephan

Impulse-free jump solutions of nonlinear differential-algebraic equations Journal Article

In: Nonlinear Analysis: Hybrid Systems, vol. 46, no. 101238, pp. 1-17, 2022, (open access).

Abstract | Links | BibTeX | Tags: DAEs, nonlinear

Hossain, Sumon; Sutrisno,; Trenn, Stephan

A time-varying approach for model reduction of singular linear switched systems in discrete time Miscellaneous

Extended Abstracts of the 25th International Symposium on Mathematical Theory of Networks and Systems, 2022.

Abstract | Links | BibTeX | Tags: controllability, DAEs, discrete-time, model-reduction, observability, switched-DAEs, switched-systems

Wijnbergen, Paul; Trenn, Stephan

Linear quadratic optimal control of switched differential algebraic equations Miscellaneous

Extended Abstracts of the 25th International Symposium on Mathematical Theory of Networks and Systems, 2022.

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

Hossain, Sumon; Trenn, Stephan

A weak Kalman decomposition approach for reduced realizations of switched linear systems Proceedings Article

In: IFAC-PapersOnLine, pp. 157-162, 2022, (Part of special issue: 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022: Vienna Austria, 27–29 July 2022).

Abstract | Links | BibTeX | Tags: controllability, model-reduction, observability, switched-systems

Chen, Yahao; Trenn, Stephan

Stability analysis of switched nonlinear differential-algebraic equations via nonlinear Weierstrass form Proceedings Article

In: Proceedings of the 2022 European Control Conference (ECC), pp. 1091-1096, London, 2022.

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, solution-theory, stability, switched-DAEs, switched-systems

Mostacciuolo, Elisa; Trenn, Stephan; Vasca, Francesco

An averaged model for switched systems with state jumps applicable for PWM descriptor systems Proceedings Article

In: Proceedings of the 2022 European Control Conference (ECC), pp. 1085-1090, London, 2022.

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

Hu, Jiaming; Trenn, Stephan; Zhu, Xiaojin

Funnel control for relative degree one nonlinear systems with input saturation Proceedings Article

In: Proceedings of the 2022 European Control Conference (ECC), pp. 227-232, London, 2022.

Abstract | Links | BibTeX | Tags: funnel-control, input-constraints, nonlinear, relative-degree

Sutrisno,; Trenn, Stephan

The one-step function for discrete-time nonlinear switched singular systems Miscellaneous

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

Links | BibTeX | Tags: discrete-time, nonlinear, solution-theory, switched-DAEs, switched-systems

Yin, Hao; Jayawardhana, Bayu; Trenn, Stephan

On contraction analysis of switched systems with mixed contracting-noncontracting modes via mode-dependent average dwell time Miscellaneous

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

Links | BibTeX | Tags: LMIs, Lyapunov, stability, switched-systems, synchronization

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

Lee, Jin Gyu; Trenn, Stephan; Shim, Hyungbo

Synchronization with prescribed transient behavior: Heterogeneous multi-agent systems under funnel coupling Journal Article

In: Automatica, vol. 141, no. 110276, pp. 13, 2022, (open access).

Abstract | Links | BibTeX | Tags: funnel-control, nonlinear, synchronization

Xu, Teke; Water, Alden; Trenn, Stephan

Dynamical boundary conditions for the water hammer problem Miscellaneous

Book of Abstracts - XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP 2022), 2022.

Links | BibTeX | Tags: PDEs, solution-theory, switched-systems

Berger, Thomas; Ilchmann, Achim; Trenn, Stephan

Quasi feedback forms for differential-algebraic systems Journal Article

In: IMA Journal of Mathematical Control and Information, vol. 39, iss. 2, pp. 533-563, 2022, (open access, published online October 2021).

Abstract | Links | BibTeX | Tags: controllability, DAEs, normal-forms

Mostacciuolo, Elisa; Trenn, Stephan; Vasca, Francesco

A smooth model for periodically switched descriptor systems Journal Article

In: Automatica, vol. 136, no. 110082, pp. 1-8, 2022, (open access).

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

2021

Hossain, Sumon; Trenn, Stephan

Minimality of Linear Switched Systems with known switching signal Proceedings Article

In: Proceedings in Applied Mathematics and Mechanics, pp. 1-3, 2021, (open access).

Abstract | Links | BibTeX | Tags: controllability, model-reduction, observability, switched-systems

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

Wijnbergen, Paul; Trenn, Stephan

Optimal control of DAEs with unconstrained terminal costs Proceedings Article

In: Proc. 60th IEEE Conf. Decision and Control (CDC 2021), pp. 5275-5280, 2021.

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

Sutrisno,; Trenn, Stephan

Observability and Determinability Characterizations for Linear Switched Systems in Discrete Time Proceedings Article

In: Proc. 60th IEEE Conf. Decision and Control (CDC 2021), pp. 2474-2479, 2021.

Abstract | Links | BibTeX | Tags: discrete-time, observability, switched-systems

Sutrisno,; Trenn, Stephan

Observability of Singular Linear Switched Systems in Discrete Time: Single Switch Case Proceedings Article

In: Proc. European Control Conference (ECC21), pp. 267-292, Rotterdam, Netherlands, 2021.

Abstract | Links | BibTeX | Tags: discrete-time, observability, switched-systems

Hossain, Sumon; Trenn, Stephan

Minimal realization for linear switched systems with a single switch Proceedings Article

In: Proc. European Control Conference (ECC21), pp. 1168-1173, Rotterdam, Netherlands, 2021.

Abstract | Links | BibTeX | Tags: controllability, normal-forms, observability, solution-theory, switched-systems

Sutrisno,; Trenn, Stephan

Observability and Determinability of Discrete Time Switched Linear Singular Systems: Multiple Switches Case Miscellaneous

Book of Abstracts - 40th Benelux Workshop on Systems and Control, 2021, (extended abstract).

Links | BibTeX | Tags: DAEs, discrete-time, observability, switched-DAEs, switched-systems

Chen, Yahao; Trenn, Stephan; Respondek, Witold

Normal forms and internal regularization of nonlinear differential-algebraic control systems Journal Article

In: International Journal of Robust and Nonlinear Control, vol. 2021, no. 31, pp. 6562-6584, 2021, (open access).

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, normal-forms, solution-theory

Chen, Yahao; Trenn, Stephan

On geometric and differentiation index of nonlinear differential-algebraic equations Proceedings Article

In: IFAC-PapersOnLine (Proceedings of the MTNS 2020/21), pp. 186-191, IFAC Elsevier, 2021, (open access).

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, solution-theory

Iervolino, Raffaele; Trenn, Stephan; Vasca, Francesco

Asymptotic stability of piecewise affine systems with Filippov solutions via discontinuous piecewise Lyapunov functions Journal Article

In: IEEE Transactions on Automatic Control, vol. 66, no. 4, pp. 1513-1528, 2021.

Abstract | Links | BibTeX | Tags: LMIs, Lyapunov, nonlinear, solution-theory, stability, switched-systems

Chen, Yahao; Trenn, Stephan

An approximation for nonlinear differential-algebraic equations via singular perturbation theory Proceedings Article

In: Proceedings of 7th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS21), IFAC-PapersOnLine, pp. 187-192, Brussels, Belgium, 2021, (open access).

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, normal-forms, 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

Chen, Yahao; Trenn, Stephan

The differentiation index of nonlinear differential-algebraic equations versus the relative degree of nonlinear control systems Proceedings Article

In: PAMM · Proc. Appl. Math. Mech. 2020, pp. e202000162, Wiley-VCH GmbH, 2021, (Open Access.).

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, normal-forms, relative-degree

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

Anh, Pham Ky; Linh, Pham Thi; Thuan, Do Duc; Trenn, Stephan

Stability analysis for switched discrete-time linear singular systems Journal Article

In: Automatica, vol. 119, no. 109100, 2020.

Abstract | Links | BibTeX | Tags: discrete-time, stability, switched-systems

Wijnbergen, Paul; Jeeninga, Mark; Trenn, Stephan

On stabilizability of switched differential algebraic equations Proceedings Article

In: IFAC-PapersOnLine 53-2, pp. 4304-4309, 2020, (Proc. IFAC World Congress 2020, Berlin, Germany. Open access.).

Abstract | Links | BibTeX | Tags: DAEs, stability, switched-DAEs, switched-systems

Hossain, Sumon; Trenn, Stephan

A time-varying Gramian based model reduction approach for Linear Switched Systems Proceedings Article

In: IFAC PapersOnline 53-2, pp. 5629-5634, 2020, (Proc. IFAC World Congress 2020, Berlin, Germany. Open access.).

Abstract | Links | BibTeX | Tags: model-reduction, switched-systems

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

Lee, Jin Gyu; Berger, Thomas; Trenn, Stephan; Shim, Hyungbo

Utility of edge-wise funnel coupling for asymptotically solving distributed consensus optimization Proceedings Article

In: Proc. European Control Conference (ECC 2020), pp. 911-916, Saint Petersburg, Russia, 2020.

Abstract | Links | BibTeX | Tags: funnel-control, networks, nonlinear, synchronization

Chen, Yahao; Trenn, Stephan

On geometric and differentiation index of nonlinear differential algebraic equations Miscellaneous

Book of Abstracts - 39th Benelux Meeting on Systems and Control, 2020.

Links | BibTeX | Tags: DAEs, nonlinear, solution-theory

Hossain, Sumon; Trenn, Stephan

Model reduction of switched systems in time-varying approach Miscellaneous

Book of Abstracts - 39th Benelux Meeting on Systems and Control, 2020.

Links | BibTeX | Tags: model-reduction, switched-systems

Hu, Jiaming; Trenn, Stephan

Sliding mode observer based hysteresis compensation control for piezoelectric stacks Miscellaneous

Book of Abstracts - 39th Benelux Meeting on Systems and Control, 2020.

Links | BibTeX | Tags: application, nonlinear

Wijnbergen, Paul; Trenn, Stephan

A forward approach to controllability of switched DAEs Miscellaneous

Book of Abstracts - 39th Benelux Meeting on Systems and Control, 2020.

Links | BibTeX | Tags: controllability, switched-DAEs, switched-systems

Boon, Marko; van den Bosch, Mark; Breeuwsma, Paul; Bucchianico, Alessandro Di; Emampour, Mona; van Ginkel, Bart; Hepkema, Tjebbe; Holzinger, Philipp; Timmerman, Rik; Trenn, Stephan

Event Driven Model with an Objective to Control Traffic Lights in the Netherlands Miscellaneous

Scientific Proceedings 157th European Study Group with Industry (SWI 2020), 2020.

Abstract | Links | BibTeX | Tags: application

Iervolino, Raffaele; Vasca, Francesco; Trenn, Stephan

Discontinuous Lyapunov functions for discontinous piecewise-affine systems Miscellaneous

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

Abstract | Links | BibTeX | Tags: LMIs, Lyapunov, stability, 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

Lee, Jin Gyu; Trenn, Stephan

Asymptotic tracking via funnel control Proceedings Article

In: Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 4228-4233, Nice, France, 2019.

Abstract | Links | BibTeX | Tags: funnel-control

Trenn, Stephan; Unger, Benjamin

Delay regularity of differential-algebraic equations Proceedings Article

In: Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 989-994, Nice, France, 2019.

Abstract | Links | BibTeX | Tags: DAEs, delay, solution-theory

Anh, Pham Ky; Linh, Pham Thi; Thuan, Do Duc; Trenn, Stephan

The one-step-map for switched singular systems in discrete-time Proceedings Article

In: Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 605-610, Nice, France, 2019.

Abstract | Links | BibTeX | Tags: discrete-time, solution-theory, switched-systems

Trenn, Stephan

Asymptotic tracking with funnel control Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., WILEY-VCH Verlag, 2019, (online).

Abstract | Links | BibTeX | Tags: funnel-control, stability

Patil, Deepak; Tesi, Pietro; Trenn, Stephan

Indiscernible topological variations in DAE networks Journal Article

In: Automatica, vol. 101, pp. 280-289, 2019.

Abstract | Links | BibTeX | Tags: DAEs, networks, observability

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

Gross, Tjorben B.; Trenn, Stephan; Wirsen, Andreas

Switch induced instabilities for stable power system DAE models Proceedings Article

In: IFAC-PapersOnLine, pp. 127-132, 2018, (Proc. IFAC Conf. Analysis Design Hybrid Systems (ADHS 2018)).

Abstract | Links | BibTeX | Tags: application, stability, switched-DAEs, switched-systems

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

Küsters, Ferdinand; Trenn, Stephan

Switch observability for switched linear systems Journal Article

In: Automatica, vol. 87, pp. 121-127, 2018.

Abstract | Links | BibTeX | Tags: observability, switched-systems

2017

Iervolino, Raffaele; Trenn, Stephan; Vasca, Francesco

Stability of piecewise affine systems through discontinuous piecewise quadratic Lyapunov functions Proceedings Article

In: Proc. 56th IEEE Conf. Decis. Control, pp. 5894 - 5899, Melbourne, Australia, 2017.

Abstract | Links | BibTeX | Tags: LMIs, stability, switched-systems

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; Patil, Deepak; Trenn, Stephan

Switch observability for a class of inhomogeneous switched DAEs Proceedings Article

In: Proc. 56th IEEE Conf. Decis. Control, pp. 3175 - 3180, Melbourne, Australia, 2017.

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

Küsters, Ferdinand; Trenn, Stephan; Wirsen, Andreas

Switch-observer for switched linear systems Proceedings Article

In: Proc. 56th IEEE Conf. Decis. Control, pp. 1749 - 1754, Melbourne, Australia, 2017.

Abstract | Links | BibTeX | Tags: observability, observer, switched-systems

Mostacciuolo, Elisa; Trenn, Stephan; Vasca, Francesco

Averaging for switched DAEs: convergence, partial averaging and stability Journal Article

In: Automatica, vol. 82, pp. 145–157, 2017.

Abstract | Links | BibTeX | Tags: averaging, DAEs, stability, switched-DAEs, switched-systems

Trenn, Stephan

Edge-wise funnel synchronization Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 821 - 822, WILEY-VCH Verlag, 2017, ISSN: 1617-7061.

Abstract | Links | BibTeX | Tags: funnel-control, networks, nonlinear, synchronization

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

Küsters, Ferdinand; Patil, Deepak; Tesi, Pietro; Trenn, Stephan

Indiscernible topological variations in DAE networks with applications to power grids Proceedings Article

In: Proc. 20th IFAC World Congress 2017, pp. 7333 - 7338, Toulouse, France, 2017, ISSN: 2405-8963.

Abstract | Links | BibTeX | Tags: application, DAEs, networks, observability

Kall, Jochen; Kausar, Rukhsana; Trenn, Stephan

Modeling water hammers via PDEs and switched DAEs with numerical justification Proceedings Article

In: Proc. 20th IFAC World Congress 2017, pp. 5349 - 5354, Toulouse, France, 2017, ISSN: 2405-8963.

Abstract | Links | BibTeX | Tags: application, DAEs, nonlinear, PDEs, solution-theory, 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

Berger, Thomas; Reis, Timo; Trenn, Stephan

Observability of linear differential-algebraic systems: A survey Book Section

In: Ilchmann, Achim; Reis, Timo (Ed.): Surveys in Differential-Algebraic Equations IV, pp. 161–219, Springer-Verlag, Berlin-Heidelberg, 2017.

Abstract | Links | BibTeX | Tags: DAEs, observability, survey

2016

Camlibel, Kanat; Iannelli, Luigi; Tanwani, Aneel; Trenn, Stephan

Differential-algebraic inclusions with maximal monotone operators Proceedings Article

In: Proc. 55th IEEE Conf. Decis. Control, Las Vegas, USA, pp. 610–615, 2016.

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, solution-theory

Gross, Tjorben B.; Trenn, Stephan; Wirsen, Andreas

Solvability and stability of a power system DAE model Journal Article

In: Syst. Control Lett., vol. 97, pp. 12–17, 2016.

Abstract | Links | BibTeX | Tags: application, DAEs, Lyapunov, networks, solution-theory, stability

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

Trenn, Stephan

Stabilization of switched DAEs via fast switching Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 827–828, WILEY-VCH Verlag, 2016, ISSN: 1617-7061.

Abstract | Links | BibTeX | Tags: averaging, DAEs, stability, switched-DAEs, switched-systems

Küsters, Ferdinand; Trenn, Stephan; Wirsen, Andreas

Observer design based on constant-input observability for DAEs Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 813–814, WILEY-VCH Verlag, 2016, ISSN: 1617-7061.

Abstract | Links | BibTeX | Tags: DAEs, observability, observer

2015

Küsters, Ferdinand; Trenn, Stephan

Duality of switched ODEs with jumps Proceedings Article

In: Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 4879–4884, 2015.

Abstract | Links | BibTeX | Tags: controllability, observability, switched-systems

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

Tanwani, Aneel; Trenn, Stephan

On detectability of switched linear differential-algebraic equations Proceedings Article

In: Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 2957–2962, 2015.

Abstract | Links | BibTeX | Tags: DAEs, observability, stability, switched-DAEs, switched-systems

Mostacciuolo, Elisa; Trenn, Stephan; Vasca, Francesco

Averaging for non-homogeneous switched DAEs Proceedings Article

In: Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 2951–2956, 2015.

Abstract | Links | BibTeX | Tags: application, averaging, DAEs, switched-DAEs, switched-systems

Shim, Hyungbo; Trenn, Stephan

A preliminary result on synchronization of heterogeneous agents via funnel control Proceedings Article

In: Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 2229–2234, 2015.

Abstract | Links | BibTeX | Tags: funnel-control, networks, nonlinear, stability, synchronization

Küsters, Ferdinand; Trenn, Stephan

Controllability characterization of switched DAEs Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 643–644, WILEY-VCH Verlag, 2015, ISSN: 1617-7061.

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

Mostacciuolo, Elisa; Trenn, Stephan; Vasca, Francesco

Partial averaging for switched DAEs with two modes Proceedings Article

In: Proc. 2015 European Control Conf. (ECC), Linz, Austria, pp. 2896–2901, 2015.

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

Küsters, Ferdinand; Ruppert, Markus G. -M.; Trenn, Stephan

Controllability of switched differential-algebraic equations Journal Article

In: Syst. Control Lett., vol. 78, no. 0, pp. 32 - 39, 2015, ISSN: 0167-6911.

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

Petreczky, Mihály; Tanwani, Aneel; Trenn, Stephan

Observability of switched linear systems Book Section

In: Djemai, Mohamed; Defoort, Michael (Ed.): Hybrid Dynamical Systems, vol. 457, pp. 205–240, 2015.

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

2014

Gross, Tjorben B.; Trenn, Stephan; Wirsen, Andreas

Topological solvability and index characterizations for a common DAE power system model Proceedings Article

In: Proc. 2014 IEEE Conf. Control Applications (CCA), pp. 9–14, IEEE 2014.

Abstract | Links | BibTeX | Tags: application, DAEs, networks, nonlinear, solution-theory

Defoort, Michael; Djemai, Mohamed; Trenn, Stephan

Nondecreasing Lyapunov functions Proceedings Article

In: Proc. 21st Int. Symposium Math. Theory Networks Systems (MTNS), pp. 1038–1043, 2014.

Abstract | Links | BibTeX | Tags: Lyapunov, nonlinear, stability, switched-systems

Ruppert, Markus G. -M.; Trenn, Stephan

Controllability of switched DAEs: the single switch case Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 15–18, Wiley-VCH Verlag GmbH, 2014.

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

Berger, Thomas; Trenn, Stephan

Kalman controllability decompositions for differential-algebraic systems Journal Article

In: Syst. Control Lett., vol. 71, pp. 54–61, 2014, ISSN: 0167-6911.

Abstract | Links | BibTeX | Tags: controllability, DAEs, normal-forms

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

Costantini, Giuliano; Trenn, Stephan; Vasca, Francesco

Regularity and passivity for jump rules in linear switched systems Proceedings Article

In: Proc. 52nd IEEE Conf. Decis. Control, Florence, Italy, pp. 4030–4035, 2013, ISSN: 0191-2216.

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

Iannelli, Luigi; Pedicini, Carmen; Trenn, Stephan; Vasca, Francesco

An averaging result for switched DAEs with multiple modes Proceedings Article

In: Proc. 52nd IEEE Conf. Decis. Control, Florence, Italy, pp. 1378 - 1383, 2013.

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

Iannelli, Luigi; Pedicini, Carmen; Trenn, Stephan; Vasca, Francesco

Averaging for switched DAEs Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 489–490, WILEY-VCH Verlag, 2013, ISSN: 1617-7061.

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

Liberzon, Daniel; Trenn, Stephan

The bang-bang funnel controller for uncertain nonlinear systems with arbitrary relative degree Journal Article

In: IEEE Trans. Autom. Control, vol. 58, no. 12, pp. 3126–3141, 2013.

Abstract | Links | BibTeX | Tags: funnel-control, input-constraints, nonlinear, relative-degree

Iannelli, Luigi; Pedicini, Carmen; Trenn, Stephan; Vasca, Francesco

On averaging for switched linear differential algebraic equations Proceedings Article

In: Proc. 12th European Control Conf. (ECC) 2013, Zurich, Switzerland, pp. 2163 – 2168, 2013.

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

Liberzon, Daniel; Trenn, Stephan

The bang-bang funnel controller: time delays and case study Proceedings Article

In: Proc. 12th European Control Conf. (ECC) 2013, Zurich, Switzerland, pp. 1669–1674, 2013.

Abstract | Links | BibTeX | Tags: application, funnel-control, input-constraints, nonlinear, relative-degree

Trenn, Stephan

Stability of switched DAEs Book Section

In: Daafouz, Jamal; Tarbouriech, Sophie; Sigalotti, Mario (Ed.): Hybrid Systems with Constraints, pp. 57–83, London, 2013.

Abstract | Links | BibTeX | Tags: DAEs, stability, switched-DAEs, switched-systems

Hackl, Christoph M.; Hopfe, Norman; Ilchmann, Achim; Mueller, Markus; Trenn, Stephan

Funnel control for systems with relative degree two Journal Article

In: SIAM J. Control Optim., vol. 51, no. 2, pp. 965–995, 2013.

Abstract | Links | BibTeX | Tags: application, funnel-control, input-constraints, nonlinear, relative-degree

Berger, Thomas; Trenn, Stephan

Addition to ``The quasi-Kronecker form for matrix pencils'' Journal Article

In: SIAM J. Matrix Anal. & Appl., vol. 34, no. 1, pp. 94–101, 2013.

Abstract | Links | BibTeX | Tags: DAEs, normal-forms, solution-theory

Trenn, Stephan

Solution concepts for linear DAEs: a survey Book Section

In: Ilchmann, Achim; Reis, Timo (Ed.): Surveys in Differential-Algebraic Equations I, pp. 137–172, Springer-Verlag, Berlin-Heidelberg, 2013.

Abstract | Links | BibTeX | Tags: DAEs, solution-theory, survey

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; Wirth, Fabian

Linear switched DAEs: Lyapunov exponents, a converse Lyapunov theorem, and Barabanov norms Proceedings Article

In: Proc. 51st IEEE Conf. Decis. Control, Maui, USA, pp. 2666–2671, 2012, ISSN: 0191-2216.

Abstract | Links | BibTeX | Tags: DAEs, Lyapunov, stability, switched-DAEs, switched-systems

Tanwani, Aneel; Trenn, Stephan

Observability of switched differential-algebraic equations for general switching signals Proceedings Article

In: Proc. 51st IEEE Conf. Decis. Control, Maui, USA, pp. 2648–2653, 2012.

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

Berger, Thomas; Trenn, Stephan

The quasi-Kronecker form for matrix pencils Journal Article

In: SIAM J. Matrix Anal. & Appl., vol. 33, no. 2, pp. 336–368, 2012.

Abstract | Links | BibTeX | Tags: DAEs, normal-forms, solution-theory

Liberzon, Daniel; Trenn, Stephan

Switched nonlinear differential algebraic equations: Solution theory, Lyapunov functions, and stability Journal Article

In: Automatica, vol. 48, no. 5, pp. 954–963, 2012.

Abstract | Links | BibTeX | Tags: DAEs, nonlinear, solution-theory, stability, switched-DAEs, switched-systems

Trenn, Stephan; Wirth, Fabian

A converse Lyapunov theorem for switched DAEs Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 789–792, WILEY-VCH Verlag, 2012, ISSN: 1617-7061.

Abstract | Links | BibTeX | Tags: DAEs, Lyapunov, stability, switched-DAEs, switched-systems

Hackl, Christoph M.; Trenn, Stephan

The bang-bang funnel controller: An experimental verification Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 735–736, GAMM Annual Meeting 2012, Darmstadt Wiley-VCH Verlag GmbH, Weinheim, 2012.

Abstract | Links | BibTeX | Tags: application, funnel-control, input-constraints, nonlinear, relative-degree

Berger, Thomas; Ilchmann, Achim; Trenn, Stephan

The quasi-Weierstraß form for regular matrix pencils Journal Article

In: Linear Algebra Appl., vol. 436, no. 10, pp. 4052–4069, 2012, (published online February 2010).

Abstract | Links | BibTeX | Tags: DAEs, normal-forms, solution-theory

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

2011

Liberzon, Daniel; Trenn, Stephan; Wirth, Fabian

Commutativity and asymptotic stability for linear switched DAEs Proceedings Article

In: Proc. 50th IEEE Conf. Decis. Control and European Control Conf. ECC 2011, Orlando, USA, pp. 417–422, 2011.

Abstract | Links | BibTeX | Tags: DAEs, Lyapunov, stability, 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

Liberzon, Daniel; Trenn, Stephan

The bang-bang funnel controller Proceedings Article

In: Proc. 49th IEEE Conf. Decis. Control, Atlanta, USA, pp. 690–695, 2010.

Abstract | Links | BibTeX | Tags: funnel-control, input-constraints, nonlinear, relative-degree

Liberzon, Daniel; Trenn, Stephan

The Bang-Bang Funnel Controller (long version) Miscellaneous

Extended Conference Manuscript, 2010, (long version of corresponding CDC paper).

Abstract | Links | BibTeX | Tags: funnel-control, input-constraints, 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

Liberzon, Daniel; Trenn, Stephan

On stability of linear switched differential algebraic equations Proceedings Article

In: Proc. Joint 48th IEEE Conf. Decis. Control and 28th Chinese Control Conf., pp. 2156–2161, 2009.

Abstract | Links | BibTeX | Tags: DAEs, Lyapunov, stability, switched-DAEs, switched-systems

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

A normal form for pure differential algebraic systems Journal Article

In: Linear Algebra Appl., vol. 430, no. 4, pp. 1070 – 1084, 2009.

Abstract | Links | BibTeX | Tags: controllability, DAEs, normal-forms, observability, relative-degree

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

Multilayer perceptrons: approximation order and necessary number of hidden units Journal Article

In: IEEE Transactions on Neural Networks, vol. 19, no. 5, pp. 836–844, 2008, ISSN: 1045-9227.

Abstract | Links | BibTeX | Tags: neural-networks

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

2006

Mandaloju, Nagendra P.; Trenn, Stephan

Analogue Implementation of the funnel controller Proceedings Article

In: PAMM - Proc. Appl. Math. Mech., pp. 823–824, WILEY-VCH Verlag, 2006, ISSN: 1617-7061.

Abstract | Links | BibTeX | Tags: application, funnel-control, nonlinear

Ilchmann, Achim; Sawodny, Oliver; Trenn, Stephan

Pneumatic cylinders: modelling and feedback force-control Journal Article

In: Int. J. Control, vol. 79, no. 6, pp. 650–661, 2006.

Abstract | Links | BibTeX | Tags: application, input-constraints

2005

French, Mark; Trenn, Stephan

lp gain bounds for switched adaptive controllers Proceedings Article

In: Proc. 44th IEEE Conf. Decis. Control and European Control Conf. (ECC), pp. 2865–2870, 2005.

Abstract | Links | BibTeX | Tags: stability, switched-systems

Ilchmann, Achim; Ryan, Eugene P.; Trenn, Stephan

Tracking control: performance funnels and prescribed transient behaviour Journal Article

In: Syst. Control Lett., vol. 54, no. 7, pp. 655–670, 2005.

Abstract | Links | BibTeX | Tags: funnel-control

2004

Ilchmann, Achim; Ryan, Eugene P.; Trenn, Stephan

Adaptive tracking within prescribed funnels Proceedings Article

In: Proc. 2004 IEEE Int. Conf. Control Appl., pp. 1032–1036, 2004.

Abstract | Links | BibTeX | Tags: funnel-control, nonlinear, stability

Ilchmann, Achim; Trenn, Stephan

Input constrained funnel control with applications to chemical reactor models Journal Article

In: Syst. Control Lett., vol. 53, no. 5, pp. 361–375, 2004.

Abstract | Links | BibTeX | Tags: application, funnel-control, input-constraints