12 citations · 40 across the 22 of their papers we have counts for
9 papers · 1 filter
Next-Gen Gas Network Simulation
Christian Himpe, Sara Grundel, Peter Benner
To overcome many-query optimization, control, or uncertainty quantification work loads in reliable gas and energy network operations, model order reduction is the mathematical tech…
Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds
Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng +1
We propose an adaptive moment-matching framework for model order reduction of quadratic-bilinear descriptor systems. In this framework, an important issue is the selection of those…
Model Order Reduction for Gas and Energy Networks
Christian Himpe, Sara Grundel, Peter Benner
To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of poss…
Data-Driven Identification of Rayleigh-Damped Second-Order Systems
Igor Pontes Duff, Pawan Goyal, Peter Benner
In this paper, we present a data-driven approach to identify second-order systems, having internal Rayleigh damping. This means that the damping matrix is given as a linear combina…
Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs
Peter Benner, Pawan Goyal, Igor Pontes Duff
Model order reduction is a technique that is used to construct low-order approximations of large-scale dynamical systems. In this paper, we investigate a balancing based model orde…
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations
Peter Benner, Christoph Trautwein
We consider the control problem of the stochastic Navier-Stokes equations in multidimensional domains introduced in \cite{ocpc} restricted to noise terms defined by Q-Wiener proces…