Fachbereich Mathematik 
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Submitted Articles

T. Berger
On observers for nonlinear differential-algebraic systems
submitted to: IEEE Transactions on Automatic Control [pdf]
T. Berger and T. Reis
ODE observers for DAE systems
submitted to: International Journal of Systems Science [pdf]
T. Berger
Fault tolerant funnel control for uncertain linear systems
submitted to: Automatica [pdf]
T. Berger and T. Reis
The Funnel Pre-Compensator
submitted to: International Journal of Robust and Nonlinear Control [pdf]
T. Berger, N. Karcanias and M. Livada
The McMillan degree of implicit transfer functions of RLC networks
submitted to: Circuits, Systems, and Signal Processing [pdf]

Books

T. Berger
On differential-algebraic control systems
Dissertation, Universitätsverlag Ilmenau, Januar 2014.
ISBN: 978-3-86360-081-5
[pdf]            official website

Journal articles and book chapters

(27) T. Berger and T. Reis
Funnel control via funnel pre-compensator for minimum phase systems with relative degree two
IEEE Transactions on Automatic Control, to appear in August 2018 [preprint]
doi: 10.1109/TAC.2017.2761020
(26) T. Berger and T. Reis
Observers and dynamic controllers for linear differential-algebraic systems
SIAM Journal on Control and Optimization, to appear, 2017 [preprint]
(25) T. Berger, Le Huy Hoang and T. Reis
Funnel control for nonlinear systems with known strict relative degree
Automatica, to appear, 2017 [preprint]
doi: 10.1016/j.automatica.2017.10.017
(24) T. Berger
Disturbance decoupled estimation for linear differential-algebraic systems
International Journal of Control, in press, 2017 [preprint]
doi: 10.1080/00207179.2017.1363411
(23) T. Berger
The zero dynamics form for nonlinear differential-algebraic systems
IEEE Transactions on Automatic Control 62 (8), 4131-4137, 2017 [preprint]
doi: 10.1109/TAC.2016.2620561
(22) T. Berger
Disturbance decoupling by behavioral feedback for linear differential-algebraic systems
Automatica 80, 272–283, 2017 [preprint]
doi: 10.1016/j.automatica.2017.01.012
(21) T. Berger, T. Reis and S. Trenn
Observability of linear differential-algebraic systems - a survey
In: Achim Ilchmann and Timo Reis (eds.) Surveys in Differential-Algebraic Equations IV, Differential-Algebraic Equations Forum, pp. 161-219. Springer, Berlin-Heidelberg, 2017 [preprint]
doi: 10.1007/978-3-319-46618-7_4
(20) T. Berger
Zero dynamics and funnel control of general linear differential-algebraic systems
ESAIM: Control, Optimisation and Calculus of Variations 22 (2), 371-403, 2016 [preprint]
doi: 10.1051/cocv/2015010
(19) T. Berger
Controlled invariance for nonlinear differential-algebraic systems
Automatica 64, 226–233, 2016 [preprint]
doi: 10.1016/j.automatica.2015.11.024
(18) T. Berger, C. Trunk and H. Winkler
Linear relations and the Kronecker canonical form
Linear Algebra and its Applications 488, 13-44, 2016 [preprint]
doi: 10.1016/j.laa.2015.09.033
(17) T. Berger and P. Van Dooren
Computing the regularization of a linear differential-algebraic system
Systems & Control Letters 86, 48-53, 2015 [preprint]
doi: 10.1016/j.sysconle.2015.10.003
(16) T. Berger, A. Ilchmann and F. Wirth
Zero dynamics and stabilization for analytic linear systems
Acta Applicandae Mathematicae 138 (1), 17-57, 2015 [preprint]
doi: 10.1007/s10440-014-9956-2
(15) T. Berger and T. Reis
Regularization of linear time-invariant differential-algebraic systems
Systems & Control Letters 78, 40-46, 2015 [preprint]
doi: 10.1016/j.sysconle.2015.01.013
(14) T. Berger, G. Halikias and N. Karcanias
Effects of dynamic and non-dynamic element changes in RC and RL networks
International Journal of Circuit Theory and Applications 43 (1), 36-59, 2015 [preprint]
doi: 10.1002/cta.1923
(13) T. Berger
Zero dynamics and stabilization for linear DAEs
In: Sebastian Schöps, Andreas Bartel, Michael Günther, E. Jan W. ter Maten, and Peter C. Müller (eds.) Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum, pp. 21-45. Springer, Berlin-Heidelberg, 2014 [preprint]
doi: 10.1007/978-3-662-44926-4_2
(12) T. Berger and T. Reis
Zero dynamics and funnel control for linear electrical circuits
Journal of the Franklin Institute 351 (11), 5099–5132, 2014 [preprint]
doi: 10.1016/j.jfranklin.2014.08.006
(11) T. Berger and S. Trenn
Kalman controllability decompositions for differential-algebraic systems
Systems & Control Letters 71, 54-61, 2014 [preprint]
doi: 10.1016/j.sysconle.2014.06.004
(10) T. Berger
Robustness of stability of time-varying index-1 DAEs
Mathematics of Control, Signals, and Systems 26 (3), 403-433, 2014 [preprint]
a more comprehensive preprint version can be found here: [preprint2]
doi: 10.1007/s00498-013-0123-5
(9) T. Berger and T. Reis
Controllability of linear differential-algebraic systems - a survey
In: Achim Ilchmann and Timo Reis (eds.) Surveys in Differential-Algebraic Equations I, Differential-Algebraic Equations Forum, pp. 1-61. Springer, Berlin-Heidelberg, 2013 [preprint]
doi: 10.1007/978-3-642-34928-7_1
(8) T. Berger and A. Ilchmann
On stability of time-varying linear differential-algebraic equations
International Journal of Control 86 (6), 1060-1076, 2013 [preprint]
doi: 10.1080/00207179.2013.773087
(7) T. Berger and S. Trenn
Addition to "The quasi-Kronecker form for matrix pencils"
SIAM Journal on Matrix Analysis and Applications 34 (1), 94–101, 2013 [pdf]
doi: 10.1137/120883244
(6) T. Berger and A. Ilchmann
On the standard canonical form of time-varying linear DAEs
Quarterly of Applied Mathematics 71 (1), 69-87, 2013 [preprint]
doi: 10.1090/S0033-569X-2012-01285-1
(5) T. Berger, A. Ilchmann and T. Reis
Normal forms, high-gain and funnel control for linear differential-algebraic systems
In: L.T. Biegler, S.L. Campbell, V. Mehrmann (eds.) Control and Optimization with Differential-Algebraic Constraints, Advances in Design and Control, vol. 23, pp. 127–164. SIAM, Philadelphia, 2012 [preprint]
doi: 10.1137/9781611972252.ch7
(4) T. Berger
Bohl exponent for time-varying linear differential-algebraic equations
International Journal of Control 85 (10), 1433-1451, 2012 [preprint]
doi: 10.1080/00207179.2012.688872
(3) T. Berger and S. Trenn
The quasi-Kronecker form for matrix pencils
SIAM Journal on Matrix Analysis and Applications 33 (2), 336-368, 2012 [pdf]
doi: 10.1137/110826278
(2) T. Berger, A. Ilchmann and T. Reis
Zero dynamics and funnel control of linear differential-algebraic systems
Mathematics of Control, Signals and Systems 24 (3), 219-263, 2012 [preprint]
doi: 10.1007/s00498-012-0085-z
(1) T. Berger, A. Ilchmann and S. Trenn
The quasi-Weierstraß form for regular matrix pencils
Linear Algebra and its Applications 436 (10), 4052-4069, 2012 [preprint]
doi: 10.1016/j.laa.2009.12.036
Note also the corrections reported in Paragraph 6 of From the Editor-in-Chief

Articles in conference proceedings

(9) T. Berger, H. Gernandt, C. Trunk, H. Winkler and M. Wojtylak
A new bound for the distance to singularity of a regular matrix pencil
submitted to: Proc. Appl. Math. Mech. 17 (Special Issue: 88th Annual Meeting of the GAMM, Ilmenau-Weimar) [pdf]
(8) T. Berger
Disturbance decoupling for descriptor systems by behavioral feedback
Proc. Appl. Math. Mech. 16 (Special Issue: Joint 87th Annual Meeting of the GAMM and DMV, Braunschweig), 797–798, 2016 [preprint]
doi: 10.1002/pamm.201610387
(7) T. Berger
Controlled invariance for DAEs
Proc. Appl. Math. Mech. 15 (Special Issue: 86th Annual Meeting of the GAMM, Lecce), 623-624, 2015 [preprint]
doi: 10.1002/pamm.201510301
(6) T. Berger and T. Reis
Structural properties of positive real and reciprocal rational matrices
Proceedings of the MTNS 2014, Groningen, The Netherlands, pp. 402-409, 2014 [pdf]
(5) T. Berger, A. Ilchmann and T. Reis
Funnel control for nonlinear functional differential-algebraic systems
Proceedings of the MTNS 2014, Groningen, The Netherlands, pp. 46-53, 2014 [pdf]
(4) T. Berger and T. Reis
Funnel control for electrical circuits
Proc. Appl. Math. Mech. 14 (Special Issue: 85th Annual Meeting of the GAMM, Erlangen), 3-6, 2014 [preprint]
doi: 10.1002/pamm.201410002
(3) T. Berger
Funnel Control for Linear DAEs
Proc. Appl. Math. Mech. 13 (Special Issue: 84th Annual Meeting of the GAMM, Novi Sad), 463-464, 2013 [pdf]
doi: 10.1002/pamm.201310224
(2) T. Berger
On perturbations in the leading coefficient matrix of time-varying index-1 DAEs
Proc. Appl. Math. Mech. 12 (Special Issue: 83rd Annual Meeting of the GAMM, Darmstadt), 793-796, 2012 [pdf]
doi: 10.1002/pamm.201210382
(1) A. Ilchmann, T. Berger and T. Reis
Nulldynamik bei DAEs
Workshop in Anif/Salzburg 19.-22.09.2010: Tagungsband des GMA-Fachausschuss 1.40 "Theoretische Verfahren der Regelungstechnik", Editors: Andreas Kugi and Boris Lohmann, 383-389, 2010

Preprints

T. Berger and T. Reis
The Funnel Observer
Hamburger Beiträge zur Angewandten Mathematik 2016-03, 2016 [pdf]
T. Berger and A. Ilchmann
Zero dynamics of time-varying linear systems
Institute for Mathematics, Ilmenau University of Technology, Preprint Number 10-05, 2010 [pdf]

Miscellaneous

T. Berger
On differential-algebraic control systems
Dissertation, Technische Universität Ilmenau, 2013 [pdf]
T. Berger
On stability of time-varying linear differential-algebraic equations
Masters thesis, Technische Universität Ilmenau, 2010 [pdf]
T. Berger
Zur asymptotischen Stabilität linearer differential-algebraischer Gleichungen
Bachelors thesis, Technische Universität Ilmenau, 2008 [pdf]

 
  Seitenanfang  Impress 2017-10-19, Thomas Berger