Publications (31)
Extension of generalized KYP lemma: from LTI systems to LPV systems
Jingjing Zhang, Jan Heiland, Peter Benner +1
The generalized Kalman-Yakubovich-Popov (gKYP) lemma, established by Iwasaki and Hara (2005 IEEE TAC), has served as a fundamental tool for finite-frequency analysis and synthesis…
Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software
Jörg Fehr, Jan Heiland, Christian Himpe +1
Over the recent years the importance of numerical experiments has gradually been more recognized. Nonetheless, sufficient documentation of how computational results have been obtai…
Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales
Vipin Kumar, Jan Heiland, Peter Benner
In this article, we investigate exponential lag synchronization results for the Cohen-Grossberg neural networks (C-GNNs) with discrete and distributed delays on an arbitrary time d…
Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows
Jan Heiland, Yongho Kim
With the advancement of neural networks, there has been a notable increase, both in terms of quantity and variety, in research publications concerning the application of autoencode…
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations
Maximilian Behr, Peter Benner, Jan Heiland
The differential Riccati equation appears in different fields of applied mathematics like control and system theory. Recently Galerkin methods based on Krylov subspaces were develo…
Identification of linear time-invariant systems with Dynamic Mode Decomposition
Jan Heiland, Benjamin Unger
Dynamic mode decomposition (DMD) is a popular data-driven framework to extract linear dynamics from complex high-dimensional systems. In this work, we study the system identificati…