- Differential-algebraic equations (DAEs)
- Delay Differential-algebraic equations (DDAEs)
- Model Order Reduction (MOR)
- parametric Model Order Reduction (pMOR)
- port-Hamiltonian systems
I am a research member of CRC 910 , Control of self-organizing nonlinear systems: Theoretical methods and concepts of applications. Together with Volker Mehrmann  I investigate the analysis and computation of stability exponents for delay differential-algebraic equations (project A2 ).
Project related publications
Mehrmann, B. Unger.
Index preserving polynomial representation of nonlinear differential-algebraic systems .
Preprint series of the Institute of Mathematics, Technische Universität Berlin, Preprint 2-2015.
- P. Schulze, B. Unger
Data-driven interpolation of dynamical systems with delay .
Systems Control Lett., Vol. 97, 2016, pp. 125–131.
- P. Schulze, B. Unger, C.
Beattie, S. Gugercin
Data-driven Structured Realization 
Linear Algebra Appl., Vol. 537, 2018, pp. 250 - 286.