Research > Publications > Books and journals

Books and book chapters

(6) T. Berger, T. Reis and S. Trenn (2017)

Observability of Linear Differential-Algebraic Systems: A survey

Chapter 4 in: Achim Ilchmann and Timo Reis (eds.), Surveys in Differential-Algebraic Equations IV

series: Differential Algebraic Equations Forum, Springer Verlag, 2017.

doi:10.1007/978-3-319-46618-7_4     Preprint


(5) M. Petreczky, A. Tanwani and S. Trenn (2015)

Observability of Switched Linear Systems

Chapter 8 in: M. Djemai and M. Defoort (eds.), Hybrid Dynamical Systems - Observation and Control,

series: Lecture Notes in Control and Information Sciences, Springer Verlag

doi:10.1007/978-3-319-10795-0_8     Preprint


(4) S. Trenn (2013)

Stability of switched DAEs

Chapter 3 in: J. Daafouz, S. Tarbouriech and M. Sigalotti (eds.), Hybrid Systems with Constraints,

Wiley, May 2013.

doi:10.1002/9781118639856.ch3     Preprint


(3) S. Trenn (2013)

Solution concepts for linear DAEs: a survey

Chapter 4 in: Achim Ilchmann and Timo Reis (eds.), Surveys in Differential-Algebraic Equations I

series: Differential Algebraic Equations Forum, Springer Verlag, April 2013.

doi:10.1007/978-3-642-34928-7_4     Preprint


(2) S. Trenn (2012)

Switched differential algebraic equations

Chapter 6 in: Francesco Vasca and Luigi Iannelli (eds.), Dynamics and Control of Switched Electronic Systems,

series: Advances in Industrial Control, Springer Verlag, March 2012.

doi:10.1007/978-1-4471-2885-4_6     Preprint


(1) S. Trenn (2009)

Distributional differential algebraic equations

PhD-dissertation, Universitätsverlag Ilmenau, September 2009.

ISBN: 978-3-939473-57-2

pdf download     official website     Corrigenda

An easy to understand explanation of my PhD-dissertation: Am Anfang waren Blitze (German)



Journal publications

(18) E. Mostacciuolo, S. Trenn and F. Vasca (2017)

Averaging for Switched DAEs: Convergence, Partial Averaging and Stability

Automatica 82, 145-157

10.1016/j.automatica.2017.04.036    Preprint


(17) A. Tanwani and S. Trenn (2017)

Determinability and state estimation for switched differential-algebraic equations

Automatica 76, 17-31

10.1016/j.automatica.2016.10.024    Preprint


(16) T. Groß, S. Trenn and A. Wirsen (2016)

Solvability and stability of a power system DAE model

System & Control Letters 79, 12-17

10.1016/j.sysconle.2016.08.003    Preprint


(15) F. Küsters and S. Trenn (2016)

Duality of switched DAEs

Mathematics of Control, Signals, and Systems 28 (3:25), 1-35

10.1007/s00498-016-0177-2    Preprint

Read-only online version via Springer Nature Content Sharing Initiative


(14) F. Küsters, M. G.-M. Ruppert and S. Trenn (2015)

Controllability of switched differential-algebraic equations

Systems & Control Letters 78, 32-39

10.1016/j.sysconle.2015.01.011    Preprint


(13) T. Berger and S. Trenn (2014)

Kalman controllability decompositions for differential-algebraic systems

Systems & Control Letters 71, 54-61

10.1016/j.sysconle.2014.06.004    Preprint


(12) D. Liberzon and S. Trenn (2013)

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

IEEE Transactions on Automatic Control 58 (12), 3126-3141

10.1109/TAC.2013.2277631    Preprint


(11) C. Hackl, N. Hopfe, A. Ilchmann, M. Müller and S. Trenn (2013)

Funnel control for systems with relative degree two

SIAM Journal on Control and Optimization 51 (2), 965-995

doi:10.1137/100799903    Paper


(10) T. Berger and S. Trenn (2013)

Addition to "The quasi-Kronecker form for matrix pencils"

SIAM Journal on Matrix Analysis and Applications 34 (1), 94-101

doi:10.1137/120883244    Paper


(9) T. Berger and S. Trenn (2012)

The quasi-Kronecker form for matrix pencils

SIAM Journal on Matrix Analysis and Applications 33 (2), 336-368

doi:10.1137/110826278    Paper


(8) D. Liberzon and S. Trenn (2012)

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

Automatica 48 (5), May 2012, 954-963

doi:10.1016/j.automatica.2012.02.041    Preprint


(7) T. Berger, A. Ilchmann und S. Trenn (2012)

The quasi-Weierstraß form for regular matrix pencils

Linear Algebra and Its Application 436 (10), May 2012 (published online February 2010), 4052-4069

doi:10.1016/j.laa.2009.12.036    Preprint

Note also the corrections reported in Paragraph 6 of From the Editor-in-Chief


(6) S. Trenn (2009)

Regularity of distributional differential algebraic equations

Mathematics of Control, Signals, and Systems 21 (3), Dec, 229 - 264

doi:10.1007/s00498-009-0045-4    Preprint


(5) S. Trenn (2009)

A normal form for pure differential algebraic systems

Linear Algebra and Its Applications 430 (4), 1070 - 1084

doi:10.1016/j.laa.2008.10.004    Preprint


(4) S. Trenn (2008)

Multilayer Perceptrons: Approximation order and necessary number of hidden units

IEEE Trans. Neural Networks 19 (5), 836 - 844

doi:10.1109/TNN.2007.912306     Preprint


(3) A. Ilchmann, O. Sawodny und S. Trenn

Pneumatic cylinders: modelling and feedback force-control

Int. J. Control 79 (2006), 6, 650 - 661

doi:10.1080/00207170600645875    Preprint


(2) A. Ilchmann, E.P. Ryan and S. Trenn (2005)

Tracking control: performance funnels and prescribed transient behaviour

Syst. Control Lett. 54, 7, 655 - 670

doi:10.1016/j.sysconle.2004.11.005    Preprint

(1) A. Ilchmann and S. Trenn (2004)

Input constrained funnel control with applications to chemical reactor models

Syst. Control Lett. 53, 5, 327 - 424

doi:10.1016/j.sysconle.2004.05.014    Preprint