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Profile Strategy Recognised Qualifications Espace media Work at UniDistance Suisse Faculty Faculty of Psychology Faculty of Business and Economics Faculty of History Faculty of Mathematics and Computer Science
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Prof. Dr Matthias Voigt

  1. UniDistance Suisse
  2. Faculty of Mathematics and Computer Science
Matthias Voigt
Vice-dean

Documents

Curriculum Vitae

Links

E-Mail ORCID Google Scholar zbMATH MathSciNet MGP

Matthias Voigt studied mathematics at Chemnitz University of Technology from 2004 to 2010. During this time he has spent time at the Moscow Aviation Institute in Russia, the University of Helsinki in Finland, and Forschungszentrum Jülich. Thereafter, he was doctoral student at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg and obtained his doctoral degree from the Faculty of Mathematics of the Otto von Guericke University of Magdeburg in 2015. During his doctoral studies he has also done a research visit at the Courant Insitute of Mathematical Sciences in New York. Between 2014 and 2021 he was research associate at Technische Universität Berlin before he took over a W3 substitute professorship at Universität Hamburg from 2019 to 2021. Appointed Assistant Professor with tenure track at UniDistance Suisse in 2021, Matthias Voigt has held the title of Associate Professor since January 2026.

News

Photo portrait de Matthias Voigt

UniDistance Suisse Commits to Exemplary Research Practices

In collaboration with the University of Zurich and HES-SO, UniDistance Suisse is launching the project “Open Online Course in Good…

UniDistance Suisse Commits to Exemplary Research Practices

Photo portrait de Matthias Voigt

Swiss National Science Foundation Supports Mathematics Project of UniDistance Suisse for Noise Reduction

How can mathematics contribute to the long-term and sustainable reduction of noise and sound pollution? The project titled “Numerical…

Swiss National Science Foundation Supports Mathematics Project of UniDistance Suisse for Noise Reduction

Research focus

  • differential-algebraic equations
  • optimal and robust control
  • matrix equations and inequalities
  • numerical linear algebra (in particular, structured and nonlinear eigenvalue problems)
  • numerical optimization
  • model order reduction
  • mathematical software
  • mathematics applications in engineering (mechanics, vibroacoustics)

Research projects

Interpolation-Based Numerical Methods in Robust Control
Approved amount: -
Funding scheme: -
Voigt Matthias // Paul Schwerdtner // Amon Lahr
Status: Completed
Start: 01.01.2020
End: 31.12.2022
Mathematics
Interpolation-Based Numerical Methods in Robust Control
Voigt Matthias // Paul Schwerdtner // Amon Lahr
Approved amount:-
Funding scheme: -
Status: Completed
Start: 01.01.2020
End: 31.12.2022
Mathematics

Research groups

Applied Mathematics

Faculty of Mathematics and Computer Science

Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation
2024-12 | Mathematical and Computer Modelling of Dynamical Systems
DOI: 10.1080/13873954.2024.2328662
  • Jennifer Przybilla
  • Matthias Voigt
Journal article
Structure-Preserving Model Reduction of Port-Hamiltonian Systems by Optimization
2024-08 | 26th International Symposium on Mathematical Theory of Networks and Systems
  • Paul Schwerdtner
  • Matthias Voigt
Conference paper
Structure-Preserving Model Reduction for Dissipative Mechanical Systems
2024-01 | Calm, Smooth and Smart
DOI: 10.1007/978-3-031-36143-2_11
  • Rebekka S. Beddig
  • Peter Benner
  • Ines Dorschky
  • Timo Reis
  • Paul Schwerdtner
  • Matthias Voigt
  • Steffen W. R. Werner
Book chapter
Optimization-based model order reduction of port-Hamiltonian descriptor systems
2023-12 | Systems & Control Letters
DOI: 10.1016/j.sysconle.2023.105655
  • Paul Schwerdtner
  • Tim Moser
  • Volker Mehrmann
  • Matthias Voigt
Journal article
Fixed-order H-infinity controller design for port-Hamiltonian systems
2023-06 | Automatica
DOI: 10.1016/j.automatica.2023.110918
  • Paul Schwerdtner
  • Matthias Voigt
Journal article
SOBMOR: Structured Optimization-Based Model Order Reduction
2023-04 | SIAM Journal on Scientific Computing
DOI: 10.1137/20M1380235
  • Paul Schwerdtner
  • Matthias Voigt
Journal article
Balanced truncation model reduction with a priori error bounds for LTI systems with nonzero initial value
2023-03 | Journal of Computational and Applied Mathematics
DOI: 10.1016/j.cam.2022.114708
  • Christian Schröder
  • Matthias Voigt
Journal article
Derivative Interpolating Subspace Frameworks for Nonlinear Eigenvalue Problems
2022-08 | SIAM Journal on Scientific Computing
DOI: 10.1137/20m1348455
  • Rifqi Aziz
  • Emre Mengi
  • Matthias Voigt
Journal article
Discounted cost linear quadratic Gaussian control for descriptor systems
2022-05 | International Journal of Control
DOI: 10.1080/00207179.2020.1854865
  • Hermann Mena
  • Lena-Maria Pfurtscheller
  • Matthias Voigt
Journal article
Optimization-based structured reduced order modeling from frequency samples
2022-01 | MATHMOD 2022 Discussion Contribution Volume
DOI: 10.11128/arep.17
  • Paul Schwerdtner
  • Matthias Voigt
Book chapter
A greedy reduced basis algorithm for structural acoustic systems with parameter and implicit frequency dependence
2021-12 | International Journal for Numerical Methods in Engineering
DOI: 10.1002/nme.6835
  • Christopher Jelich
  • Suhaib Koji Baydoun
  • Matthias Voigt
  • Steffen Marburg
Journal article
Low-Rank Iteration Schemes for the Multi-Frequency Solution of Acoustic Boundary Element Equations
2021-09 | Journal of Theoretical and Computational Acoustics
DOI: 10.1142/s2591728521500043
  • Suhaib Koji Baydoun
  • Matthias Voigt
  • Steffen Marburg
Journal article
A subspace iteration eigensolver based on Cauchy integrals for vibroacoustic problems in unbounded domains
2021-08 | International Journal for Numerical Methods in Engineering
DOI: 10.1002/nme.6701
  • Suhaib Koji Baydoun
  • Matthias Voigt
  • Benedikt Goderbauer
  • Christopher Jelich
  • Steffen Marburg
Journal article
Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach
2021-01 | SIAM Journal on Matrix Analysis and Applications
DOI: 10.1137/20m1346109
  • Ines Dorschky
  • Timo Reis
  • Matthias Voigt
Journal article
Adaptive Sampling for Structure-Preserving Model Order Reduction of Port-Hamiltonian Systems
2021-01 | IFAC-PapersOnLine
DOI: 10.1016/j.ifacol.2021.11.069
  • Paul Schwerdtner
  • Matthias Voigt
Journal article
Semi‐active ℋ∞ damping optimization by adaptive interpolation
2020-08 | Numerical Linear Algebra with Applications
DOI: 10.1002/nla.2300
  • Zoran Tomljanović
  • Matthias Voigt
Journal article
A greedy reduced basis scheme for multifrequency solution of structural acoustic systems
2020-01 | International Journal for Numerical Methods in Engineering
DOI: 10.1002/nme.6205
  • Suhaib Koji Baydoun
  • Matthias Voigt
  • Christopher Jelich
  • Steffen Marburg
Journal article
A Subspace Framework for ℋ∞-Norm Minimization
2020-01 | SIAM Journal on Matrix Analysis and Applications
DOI: 10.1137/19m125892x
  • Nicat Aliyev
  • Peter Benner
  • Emre Mengi
  • Matthias Voigt
Journal article
Certifying Global Optimality for the L∞-Norm Computation of Large-Scale Descriptor Systems
2020-01 | IFAC-PapersOnLine
DOI: 10.1016/j.ifacol.2020.12.2482
  • P. Schwerdtner
  • E. Mengi
  • M. Voigt
Journal article
Model Reduction for Second‐Order Dynamical Systems Revisited
2019-11 | PAMM
DOI: 10.1002/pamm.201900224
  • Rebekka S. Beddig
  • Peter Benner
  • Ines Dorschky
  • Timo Reis
  • Paul Schwerdtner
  • Matthias Voigt
  • Steffen W. R. Werner
Journal article
On linear-quadratic optimal control of implicit difference equations
2019-09 | IMA Journal of Mathematical Control and Information
DOI: 10.1093/imamci/dny007
  • Daniel Bankmann
  • Matthias Voigt
Journal article
Linear-Quadratic Optimal Control of Differential-Algebraic Systems: The Infinite Time Horizon Problem with Zero Terminal State
2019-01 | SIAM Journal on Control and Optimization
DOI: 10.1137/18m1189609
  • Timo Reis
  • Matthias Voigt
Journal article
A Low-Rank Iteration Scheme for Multi-Frequency Acoustic Problems
2018-12 | INTER-NOISE and NOISE-CON Congress and Conference Proceedings
  • Suhaib Baydoun
  • Lei Li
  • Matthias Voigt
  • Steffen Marburg
Journal article
Inner–outer factorization for differential-algebraic systems
2018-09 | Mathematics of Control, Signals, and Systems
DOI: 10.1007/s00498-018-0221-5
  • Timo Reis
  • Matthias Voigt
Journal article
Computation of the L∞-Norm Using Rational Interpolation
2018-01 | IFAC-PapersOnLine
DOI: 10.1016/j.ifacol.2018.11.086
  • P. Schwerdtner
  • M. Voigt
Journal article
Model reduction of constrained mechanical systems in M-M.E.S.S.
2018-01 | IFAC-PapersOnLine
DOI: 10.1016/j.ifacol.2018.03.112
  • Jens Saak
  • Matthias Voigt
Journal article
ℒ∞-norm computation for large-scale descriptor systems using structured iterative eigensolvers
2018-01 | Numerical Algebra, Control & Optimization
DOI: 10.3934/naco.2018007
  • Peter Benner
  • Ryan Lowe
  • Matthias Voigt
Journal article
A Greedy Subspace Method for Computing the ℒ∞-Norm
2017-12 | PAMM
DOI: 10.1002/pamm.201710343
  • Nicat Aliyev
  • Peter Benner
  • Emre Mengi
  • Paul Schwerdtner
  • Matthias Voigt
Journal article
Large-Scale Computation of ℒ∞-Norms by a Greedy Subspace Method
2017-01 | SIAM Journal on Matrix Analysis and Applications
DOI: 10.1137/16m1086200
  • Nicat Aliyev
  • Peter Benner
  • Emre Mengi
  • Paul Schwerdtner
  • Matthias Voigt
Journal article
Inner-Outer Factorization via Lur'e Equations
2016-10 | PAMM
DOI: 10.1002/pamm.201610403
  • Timo Reis
  • Matthias Voigt
Journal article
Reprint of “The Kalman–Yakubovich–Popov inequality for differential-algebraic systems: Existence of nonpositive solutions”
2016-09 | Systems & Control Letters
DOI: 10.1016/j.sysconle.2016.05.010
  • Timo Reis
  • Matthias Voigt
Journal article
Algorithm 961: Fortran 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems
2016-06 | ACM Transactions on Mathematical Software
DOI: 10.1145/2818313
  • Peter Benner
  • Vasile Sima
  • Matthias Voigt
Journal article
The Kalman–Yakubovich–Popov inequality for differential-algebraic systems: Existence of nonpositive solutions
2015-12 | Systems & Control Letters
DOI: 10.1016/j.sysconle.2015.09.003
  • Timo Reis
  • Matthias Voigt
Journal article
The Kalman–Yakubovich–Popov inequality for differential-algebraic systems
2015-11 | Linear Algebra and its Applications
DOI: 10.1016/j.laa.2015.06.021
  • Timo Reis
  • Olaf Rendel
  • Matthias Voigt
Journal article
The Kalman-Yakubovich-Popov Inequality for Descriptor Systems
2015-10 | PAMM
DOI: 10.1002/pamm.201510312
  • Timo Reis
  • Matthias Voigt
Journal article
Distance Problems for Linear Dynamical Systems
2015-01 | Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
DOI: 10.1007/978-3-319-15260-8_20
  • Daniel Kressner
  • Matthias Voigt
Book chapter
Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations
2015-01 | Surveys in Differential-Algebraic Equations III
DOI: 10.1007/978-3-319-22428-2_3
  • Peter Benner
  • Philip Losse
  • Volker Mehrmann
  • Matthias Voigt
Book chapter
On linear-quadratic optimal control and robustness of differential-algebraic systems
2015-01
dissertation-thesis
Solution of Descriptor Lur'e Equations via Even Matrix Pencils
2014-12 | PAMM
DOI: 10.1002/pamm.201410443
  • Timo Reis
  • Matthias Voigt
Journal article
The Dissipation Inequality for Differential-Algebraic Systems
2014-12 | PAMM
DOI: 10.1002/pamm.201410004
  • Timo Reis
  • Matthias Voigt
Journal article
Computation of the ℋ∞-norm for large-scale systems
2014-09 | Oberwolfach Reports
DOI: 10.4171/OWR/2013/56
  • Peter Benner
  • Ryan Lowe
  • Matthias Voigt
Journal article
A structured pseudospectral method for ℋ∞-norm computation of large-scale descriptor systems
2014-06 | Mathematics of Control, Signals, and Systems
DOI: 10.1007/s00498-013-0121-7
  • Peter Benner
  • Matthias Voigt
Journal article
MB04BV – A FORTRAN 77 subroutine to compute the eigenvectors associated to the purely imaginary eigenvalues of skew-Hamiltonian/Hamiltonian matrix pencils
2013-09 | Niconet e. V.
  • Peihong Jiang
  • Matthias Voigt
report
Spectral characterization and enforcement of negative imaginariness for descriptor systems
2013-08 | Linear Algebra and its Applications
DOI: 10.1016/j.laa.2012.12.044
  • Peter Benner
  • Matthias Voigt
Journal article
Spectral conditions for symmetric positive real and negative imaginary systems
2013-07 | 2013 European Control Conference (ECC)
DOI: 10.23919/ecc.2013.6669824
  • Naim Bajcinca
  • Matthias Voigt
Conference paper
Numerical computation of structured complex stability radii of large-scale matrices and pencils
2012-12 | 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
DOI: 10.1109/cdc.2012.6426906
  • Peter Benner
  • Matthias Voigt
Conference paper
ℋ∞-Norm Computation for Large and Sparse Descriptor Systems
2012-12 | PAMM
DOI: 10.1002/pamm.201210383
  • Peter Benner
  • Matthias Voigt
Journal article
ℒ∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils
2012-01 | IEEE Transactions on Automatic Control
DOI: 10.1109/tac.2011.2161833
  • P. Benner
  • V. Sima
  • M. Voigt
Journal article
Linear-quadratic infinite time horizon optimal control for differential- algebraic equations - a new algebraic criterion
2012-01 | 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS)
  • Timo Reis
  • Matthias Voigt
Conference paper
Robust and Efficient Algorithms for ℒ∞-Norm Computation for Descriptor Systems
2012-01 | IFAC Proceedings Volumes
DOI: 10.3182/20120620-3-dk-2025.00114
  • P. Benner
  • V. Sima
  • M. Voigt
Journal article
On the Computation of Particular Eigenvectors of Hamiltonian Matrix Pencils
2011-12 | PAMM
DOI: 10.1002/pamm.201110366
  • Peter Benner
  • Matthias Voigt
Journal article
ℒ∞-Norm Computation for Descriptor Systems
2010-07
  • Matthias Voigt
dissertation-thesis

Teaching

M03 Analysis I Bachelor of Science in Mathematics
Analysis I Bachelor of Science in Mathematics
Analysis I Bachelor of Science in Mathematics
M05 Analysis II Bachelor of Science in Mathematics
Analysis II Bachelor of Science in Mathematics
Analysis II Bachelor of Science in Mathematics
M07 Analysis III Bachelor of Science in Mathematics
Analysis III Bachelor of Science in Mathematics
Analysis III Bachelor of Science in Mathematics
M18 Seminar on special topics Bachelor of Science in Mathematics
Seminar on special topics Bachelor of Science in Mathematics
Seminar on special topics Bachelor of Science in Mathematics

Functions at UniDistance Suisse

Faculty of Mathematics and Computer Science

  • Vice-dean
  • Associate Professor
  • Programme direction of the Bachelor in Mathematics and of the Master in Artificial Intelligence

Faculty Council of the Faculty of Mathematics and Computer Science

  • Vice-dean
  • Associate Professor
  • Programme direction of the Bachelor in Mathematics and of the Master in Artificial Intelligence

Applied Mathematics

  • Associate Professor

External Functions

  • Associate Editor, Journal of Industrial and Management Optimization
  • Review Editor, Frontiers in Control Engineering
  • Guest Editor, Mathematics of Control, Signals, and Systems

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