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Publications by Thomas Berger

See also:   Google Scholar Profile
                    MathSciNet Profile
                    Researchgate Profile

Submitted Articles

    T. Berger and A.-L. Rauert
Funnel cruise control
submitted to: Automatica [pdf]
    J. G. Lee, T. Berger, S. Trenn and H. Shim
Utility of Edge-wise Funnel Coupling for Asymptotically Solving Distributed Consensus Optimization
submitted to: IEEE CDC 2019 [pdf]
    T. Berger, M. Puche and F. L. Schwenninger
Funnel control in the presence of infinite-dimensional internal dynamics
submitted to: IEEE Control Systems Letters and IEEE CDC 2019 [pdf]
    T. Berger, M. Puche and F. L. Schwenninger
Funnel control for a moving water tank
submitted to: IEEE Transactions on Automatic Control [pdf]
    T. Berger
Tracking with prescribed performance for linear non-minimum phase systems
submitted to: Automatica [pdf]
    T. Berger
Fault tolerant funnel control for uncertain linear systems
submitted to: IEEE Transactions on Automatic Control [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

    (34) T. Berger
On observers for nonlinear differential-algebraic systems
IEEE Transactions on Automatic Control 64 (5), 2150-2157, 2019 [preprint]
doi: 10.1109/TAC.2018.2866438
    (33) T. Berger
Disturbance decoupled estimation for linear differential-algebraic systems
International Journal of Control 92 (3), 593-612, 2019 [preprint]
doi: 10.1080/00207179.2017.1363411
    (32) T. Berger, S. Otto, T. Reis and R. Seifried
Combined open-loop and funnel control for underactuated multibody systems
Nonlinear Dynamics 95 (3), 1977-1998, 2019 [preprint]
doi: 10.1007/s11071-018-4672-5
    (31) T. Berger, H. Gernandt, C. Trunk, H. Winkler and M. Wojtylak
The gap distance to the set of singular matrix pencils
Linear Algebra and its Applications 564, 28-57, 2019 [preprint]
doi: 10.1016/j.laa.2018.11.020
    (30) T. Berger, J. Giribet, F. Martínez Pería and C. Trunk
On a class of non-Hermitian matrices with positive definite Schur complements
Proceedings of the AMS, to appear, 2019 [preprint]
doi: 10.1090/proc/14412
    (29) T. Berger, N. Karcanias and M. Livada
The pseudo-McMillan degree of implicit transfer functions of RLC networks
Circuits, Systems, and Signal Processing 38 (3), 967-985, 2019 [preprint]
doi: 10.1007/s00034-018-0921-6
    (28) T. Berger and T. Reis
ODE observers for DAE systems
IMA Journal of Mathematical Control and Information, to appear, 2019 [preprint]
doi: 10.1093/imamci/dny032
    (27) T. Berger and T. Reis
The Funnel Pre-Compensator
International Journal of Robust and Nonlinear Control 28 (16), 4747-4771, 2018 [preprint]
doi: 10.1002/rnc.4281
    (26) T. Berger and T. Reis
Funnel control via funnel pre-compensator for minimum phase systems with relative degree two
IEEE Transactions on Automatic Control 63 (7), 2264-2271, 2018 [preprint]
doi: 10.1109/TAC.2017.2761020
    (25) T. Berger, Le Huy Hoang and T. Reis
Funnel control for nonlinear systems with known strict relative degree
Automatica 87, 345-357, 2018 [preprint]
doi: 10.1016/j.automatica.2017.10.017
    (24) T. Berger and T. Reis
Observers and dynamic controllers for linear differential-algebraic systems
SIAM Journal on Control and Optimization 55 (6), 3564-3591, 2017 [pdf]
doi: 10.1137/15M1035355
    (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

    (14) T. Berger
Funnel control for linear non-minimum phase systems
Submitted to: Proc. Appl. Math. Mech. (Special Issue: 90th Annual Meeting of the GAMM, Vienna), 2019 [preprint]
    (13) T. Berger, Le Huy Hoang and T. Reis
Funnel control for nonlinear systems with higher relative degree
Proc. Appl. Math. Mech. 18:e201800059 (Special Issue: 89th Annual Meeting of the GAMM, Munich), 2018 [preprint]
doi: 10.1002/pamm.201800059
    (12) T. Berger, Le Huy Hoang and T. Reis
Funnel control for overhead crane model
Proc. Appl. Math. Mech. 18:e201800041 (Special Issue: 89th Annual Meeting of the GAMM, Munich), 2018 [preprint]
doi: 10.1002/pamm.201800041
    (11) T. Berger
Fault tolerant funnel control
Proc. Appl. Math. Mech. 18:e201800034 (Special Issue: 89th Annual Meeting of the GAMM, Munich), 2018 [preprint]
doi: 10.1002/pamm.201800034
    (10) T. Berger and A.-L. Rauert
A universal model-free and safe adaptive cruise control mechanism
Proceedings of the MTNS 2018, Hong Kong, pp. 925-932, 2018 [pdf]
    (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
Proc. Appl. Math. Mech. 17 (Special Issue: 88th Annual Meeting of the GAMM, Ilmenau-Weimar), 863-864, 2017 [preprint]
doi: 10.1002/pamm.201710399
    (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]

Wissenschaftliche Vorträge

    Funnel control for linear non-minimum phase systems (20.02.2019)
GAMM-Jahrestagung 2019, Wien, Österreich
Vortragsfolien
    Funnel cruise control (06.12.2018)
Functional Analysis Seminar (eingeladen von Dr. F. Schwenninger), Wuppertal, Deutschland
Vortragsfolien
    Funnel cruise control (07.11.2018)
Applied Mathematics and Control Theory Seminar (eingeladen von Prof. N. Karcanias), City, University of London, UK
Vortragsfolien
    A Universal Model-Free and Safe Adaptive Cruise Control Mechanism (20.07.2018)
23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hongkong, China
Vortragsfolien
    Funnel cruise control (03.07.2018)
Special Session, 14th Viennese Conference on Optimal Control and Dynamic Games, Wien, Österreich
Vortragsfolien
    Fault tolerant funnel control (21.03.2018)
GAMM-Jahrestagung 2018, München, Deutschland
Vortragsfolien
    Fehlertolerante Funnel-Regelung (27.11.2017)
Workshop des GAMM-Fachausschuss "Dynamik und Regelungstheorie", Kassel, Deutschland
Vortragsfolien
    Funnel-Regelung über Funnel-Vorkompensatoren (18.07.2017)
Workshop der AG Dynamische Systeme, Hamburg, Deutschland
Vortragsfolien
    Funnel-Regler und Funnel-Beobachter (23.02.2017)
11. Elgersburg Workshop "Mathematische Systemtheorie" 2017, Elgersburg, Deutschland
Vortragsfolien
    Funnel Observation and Funnel Control (16.11.2016)
Applied Mathematics and Control Theory Seminar (eingeladen von Prof. N. Karcanias), City, University of London, UK
Vortragsfolien
    Disturbance decoupling for DAEs by behavioral feedback (21.07.2016)
Minisymposium, 7th European Congress of Mathematics, TU Berlin, Deutschland
Vortragsfolien
    Funnel control for DAE systems (30.06.2016)
CRES Workshop on Differential-Algebraic Equations: Modelling, Properties and Control (eingeladen von Dr. C. Hackl), TU München, Deutschland
Vortragsfolien
    Funnel Observation and Funnel Control (17.05.2016)
Lothar Collatz Seminar, Universität Hamburg, Deutschland
Vortragsfolien
    Funnel-Beobachtung (12.05.2016)
Workshop des GAMM-Fachausschuss "Dynamik und Regelungstheorie", Freiberg, Deutschland
Vortragsfolien
    Disturbance decoupling for descriptor systems by behavioral feedback (10.03.2016)
Gemeinsame Jahrestagung von DMV und GAMM 2016, Braunschweig, Deutschland
Vortragsfolien
    Some ideas on the funnel observer (12.02.2016)
Colloquium on the occasion of the 60th birthday of Achim Ilchmann, Elgersburg, Deutschland
Vortragsfolien
    Modellierung mit differentiell-algebraischen Gleichungen (19.11.2015)
Kolloquium des Instituts für schnelle mechatronische Systeme (Magnetics4Freaks), Hochschule Heilbronn, Künzelsau, Deutschland
Vortragsfolien
    Controlled invariance for nonlinear descriptor systems (22.09.2015)
DMV-Jahrestagung 2015, Hamburg, Deutschland
Vortragsfolien
    Controlled invariance for DAEs (18.09.2015)
Minisymposium, SciCADE 2015, Potsdam, Deutschland
Vortragsfolien
    Regularization of linear descriptor systems (30.06.2015)
Absolventen-Seminar Numerische Mathematik (eingeladen von Dr. Matthias Voigt), TU Berlin, Berlin, Deutschland
Vortragsfolien
    On the regularization of linear time-invariant descriptor systems (06.05.2015)
Conference on Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory, Berlin, Deutschland
Vortragsfolien
    On the regularization of linear time-invariant descriptor systems (23.04.2015)
Applied Mathematics and Control Theory Seminar (eingeladen von Prof. N. Karcanias), City University London, UK
Vortragsfolien
    Controlled invariance for DAEs (26.03.2015)
GAMM-Jahrestagung 2015, Lecce, Italien
Vortragsfolien
    Funnel control for nonlinear functional DAE systems (07.07.2014)
21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), Groningen, Niederlande
Vortragsfolien
    Funnel control for electrical circuits (06.06.2014)
Circuit Theory Colloquium, Universität Hamburg, Deutschland
Vortragsfolien
    Funnel control for electrical circuits (11.03.2014)
Minisymposium, GAMM-Jahrestagung 2014, Erlangen, Deutschland
Vortragsfolien            [Poster]
    Funnel-Regelung für elektrische Schaltkreise (05.03.2014)
9. Elgersburg Workshop "Mathematische Systemtheorie" 2014, Elgersburg, Deutschland
Vortragsfolien
    Funnel-Regelung nichtlinearer DAEs mit gemischtem Relativgrad (13.02.2014)
Workshop des GAMM-Fachausschuss "Dynamik und Regelungstheorie", Augsburg, Deutschland
Vortragsfolien
    Stabilisierung linearer DAEs (26.09.2013)
Workshop des GAMM-Fachausschuss "Dynamik und Regelungstheorie", Magdeburg, Deutschland
Vortragsfolien
    Funnel control for linear DAEs (21.03.2013)
GAMM-Jahrestagung 2013, Novi Sad, Serbien
Vortragsfolien            [Poster]
    Nulldynamik und Stabilisierbarkeit linearer DAEs (04.03.2013)
Workshop über gekoppelte Deskriptorsysteme 2013, Geseke, Deutschland
Vortragsfolien
    Funnel control für DAEs (13.02.2013)
8. Elgersburg Workshop "Mathematische Systemtheorie" 2013, Elgersburg, Deutschland
Vortragsfolien
    On perturbations in the leading coefficient matrix of time-varying index-1 DAEs (27.03.2012)
Young Researchers' Minisymposium, GAMM-Jahrestagung 2012, Darmstadt, Deutschland
Vortragsfolien
    Single element changes in electrical networks (10.03.2012)
Workshop des GAMM-Fachausschuss "Dynamik und Regelungstheorie", Stuttgart, Deutschland
Vortragsfolien
    On perturbations in the leading coefficient matrix of time-varying index-1 DAEs (27.02.2012)
DynamIC Seminar (eingeladen von Dr. M. Rasmussen), Imperial College, London, UK
Vortragsfolien
    Single element changes in electrical networks (23.02.2012)
Research Seminar (eingeladen von Dr. M. French), University of Southampton, UK
Vortragsfolien
    Single element changes in electrical networks (22.02.2012)
Applied Mathematics and Control Theory Seminar (eingeladen von Prof. N. Karcanias), City University London, UK
Vortragsfolien
    Single element changes in electrical networks (20.02.2012)
Applied Mathematics Seminar (eingeladen von Dr. M. Müller), University of Exeter, UK
Vortragsfolien
    Single element changes in electrical networks (17.02.2012)
1. GAMM-Juniors Workshop, Berlin, Deutschland
Vortragsfolien
    On perturbations in the leading coefficient matrix of time-varying index-1 DAEs (14.02.2012)
Applied Mathematics and Control Theory Seminar (eingeladen von Prof. N. Karcanias), City University London, UK
Vortragsfolien
    Die Quasi-Kronecker-Form für Matrizen-Büschel (18.03.2011)
Workshop des GAMM-Fachauschuss "Dynamik und Regelungstheorie", Linz, Österreich
Vortragsfolien
    Zero dynamics and funnel control of linear DAEs (17.11.2010)
Applied Mathematics Seminar (eingeladen von Dr. M. Müller), University of Exeter, UK
Vortragsfolien
    Lyapunov equations for time-varying DAEs (16.04.2010)
Workshop des GAMM-Fachauschuss "Dynamik und Regelungstheorie", Berlin, Deutschland
Vortragsfolien
    Stabilitätstheorie zeitvarianter DAEs (03.03.2010)
6. Elgersburg Workshop "Mathematische Systemtheorie" 2010, Elgersburg, Deutschland
Vortragsfolien

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]
Further information:

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