131 citations · 917 across the 125 of their papers we have counts for
10 papers · 1 filter
Hankel-Norm Approximation of Large-Scale Descriptor Systems
Peter Benner, Steffen W. R. Werner
The Hankel-norm approximation is a model reduction method which provides the best approximation in the Hankel semi-norm. In this paper the computation of the optimal Hankel-norm ap…
Space-time Galerkin POD with application in optimal control of semi-linear parabolic partial differential equations
Manuel Baumann, Peter Benner, Jan Heiland
In the context of Galerkin discretizations of a partial differential equation (PDE), the modes of the classical method of Proper Orthogonal Decomposition (POD) can be interpreted a…
Model Reduction of Linear Multi-Agent Systems by Clustering and Associated - and -Error Bounds
Hidde-Jan Jongsma, Petar Mlinarić, Sara Grundel +2
In this paper, we study a model reduction technique for leader-follower networked multi-agent systems defined on weighted, undirected graphs with arbitrary linear multivariable age…
-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
Peter Benner, Pawan Goyal, Serkan Gugercin
We investigate the optimal model reduction problem for large-scale quadratic-bilinear (QB) control systems. Our contributions are threefold. First, we discuss the variational analy…
Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback
Peter Benner, Jan Heiland
Many recent works on stabilization of nonlinear systems target the case of locally stabilizing an unstable steady state solutions against small perturbation. In this work we explic…
Range-separated tensor formats for numerical modeling of many-particle interaction potentials
Peter Benner, Venera Khoromskaia, Boris N. Khoromskij
We introduce and analyze the new range-separated (RS) canonical/Tucker tensor format which aims for numerical modeling of the 3D long-range interaction potentials in multi-particle…