Computational Methods in Systems and Control Theory

Major research interests

  • Scientific machine learning: physics-informed (A/D/C)NNs, data-enhanced computational sciences
  • Simulation, control and optimization of dynamical systems, described by systems of ordinary, differential, and partial differential equations
  • Model order reduction methods for dynamical and parametric systems, including methods based on system balancing, rational interpolation, proper orthogonal decomposition and reduced basis methods
  • Computational methods in for systems and control, in particular system norms, Riccati-based control design, stabilization of nonlinear systems
  • Numerical linear algebra with an emphasis on exploiting low-rank structures in solving linear systems with tensor structure as well as on linear and nonlinear eigenvalue problems; data-driven methods for model identification and 3D imaging
  • Computational methods for molecular simulation and electronic structure calculation
  • High-performance computing with an emphasis on basic linear algebra kernels using hardware accelerators and power-aware (green) computing

Detailed information on the group's research topics can be found here.

Current PhD students in the IMPRS program

Shuwen Sun

PhD project:"Non-intrusive model order reduction of nonlinear dynamical systems"

IMPRS Alumni

Cleophas Muganda Kweyu

PhD thesis: Fast solution of the Poisson-Boltzmann equation by the reduced basis method and range-separated tensor format
(Aug. 2, 2018)

Petar Mlinarić

PhD thesis: Structure-Preserving Model Order Reduction for Network Systemsv
(Jan. 23, 2020)

Christoph Trautwein

PhD thesis: Optimal Control Problems Governed by Stochastic Partial Differential Equations
(Dec. 19, 2018)

Pawan Kumar Goyal

PhD thesis: System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems
(Mar. 2, 2018)

Akwum Agwu Onwunta

PhD thesis: Low-Rank Iterative Solvers for Large-Scale Stochastic Galerkin Linear Systems
(Jul. 6, 2016)

Mohammad Monir Uddin

PhD thesis: Computational Methods for Model Reduction of Descriptor Systems
(Jun. 30, 2015)

Matthias Voigt

PhD thesis: On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems
(May 4, 2015)

Tobias Breiten

PhD thesis: Rational Krylov Subspaces for Nonlinear Model Reduction
(Mar. 25, 2013)

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