**Project Heads**

*Volker Mehrmann, Caren Tischendorf, Matthias Voigt*

**Project Members**

Lena Scholz (TU)

**Project Duration**

01.01.2019 – 31.12.2021

**Located at**

TU Berlin

**Project Webpages**

**Selected Publications
**

- V. Mehrmann and P. Van Dooren: Optimal robustness of discrete time passive systems. Preprint 09-2019, Institute of Mathematics, TU Berlin, 2019. (http://arxiv.org/abs/1909.06871)
- K. Cherifi, V. Mehrmann, and K. Hariche:
*Numerical methods to compute a minimal realization of a port-Hamiltonian system*. Preprint 08-2019, Institute of Mathematics, TU Berlin, 2019. (http://arxiv.org/abs/1903.07042) - L. Scholz: Condensed forms for linear port-Hamiltonian descriptor systems.
*Electronic Journal of Linear Algebra, vol. 35, pp. 65-89, 2019.* - R. Krug, V. Mehrmann, and M. Schmidt:
*Nonlinear Optimization of District Heating Networks*, 2020. Submitted for Publication. (https://arxiv.org/abs/1910.06453) - V. Mehrmann and P. Van Dooren:
*Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems*, 2020. Submitted for publication. (http://arxiv.org/abs/2005.04744) - C. Mehl, V. Mehrmann, and M. Wojtylak:
*Distance problems for dissipative Hamiltonian systems and related matrix polynomials*. Preprint 01-2020, Institute of Mathematics, TU Berlin, 2020. (http://arxiv.org/abs/2001.08902) - S. Hauschild, N. Marheineke, and V. Mehrmann:
*Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems*, Preprint 02-2019, Institute of Mathematics, TU Berlin. (http://arxiv.org/abs/1901.10242). To appear in*Control and Cybernetics*, 2020. - V. Mehrmann and P. Van Dooren:
*Optimal robustness of port-Hamiltonian systems*, SIAM Journal Matrix Analysis and Applications, Vol. 41, 134-151, 2020. (http://arxiv.org/abs/1904.13326) - N. Aliyev, V. Mehrmann and E. Mengi:
*Computation of Stability Radii for Large-Scale Dissipative Hamiltonian Systems*, Advances in Computational Mathematics, Vol. 46, 6, 2020. (http://arxiv.org/abs/1808.03574) - C. A. Beattie, S. Gugercin and V. Mehrmann:
*Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems*. Preprint 10-2019, Institute of Mathematics, TU Berlin, 2019. (http://arxiv.org/abs/1910.05674)

To appear in*Festschrift to honor the 70th birthday of A. Antoulas*, 2020. - V. Mehrmann and R. Morandin:
*Structure-preserving discretization for port-Hamiltonian descriptor systems*. Proceedings of the 58th IEEE Conference on Decision and Control (CDC), 9.-12.12.19, Nice, pp. 6863–6868, 2019. (http://arxiv.org/abs/1903.10451) - S.-A. Hauschild, N. Marheineke, V. Mehrmann, J. Mohring, A. Moses Badlyan, M. Rein, and M. Schmidt:
*Port-Hamiltonian modeling of district heating networks*. To appear in DAE Forum. (http://arxiv.org/abs/1908.11226) - D. Bankmann, V. Mehrmann, Y. Nesterov, and P. Van Dooren:
*Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis*. To appear in*Vietnam Journal of Mathematics*, 2020. (http://arxiv.org/abs/1904.08202)

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**

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