Publications

Peter Benner, Jan Heiland, Steffen W. R. Werner (2022). A low-rank solution method for Riccati equations with indefinite quadratic terms. Numerical Algorithms.
Cite DOI Code
Jens Bremer, Jan Heiland, Peter Benner, Kai Sundmacher (2021). Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO$_m̊ 2$ Methanation. IFAC-PapersOnLine.
Cite DOI URL
Maximilian Behr, Peter Benner, Jan Heiland (2021). Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation.
Cite
Maximilian Behr, Peter Benner, Jan Heiland (2021). Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. Appl. Math. Comput..
Cite DOI URL
Jan Heiland, Enrique Zuazua (2021). Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. SIAM J. Control Optim..
Cite DOI
Peter Benner, Jan Heiland (2020). Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. arXiv e-prints.
Cite arXiv URL
Chayan Bhawal, Jan Heiland, Peter Benner (2020). PD controllers to solve single-input, index-1 DAE based LQR problems. 2020 European Control Conference (ECC).
PDF Cite
Peter Benner, Jan Heiland (2020). Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough. 2020 European Control Conference (ECC).
PDF Cite
Xin Du, Yi Yang, Jan Heiland, Kaynyak Okyay (2019). Frequency-selective Filter Based Frequency Separated Feedback Control of Linear Systems: State Feedback Case. 2019 Chinese Control Conference (CCC).
Cite DOI
M. Behr, P. Benner, J. Heiland (2019). Solution Formulas for Differential Sylvester and Lyapunov Equations. Calcolo.
Cite DOI