46 citations · 201 across the 50 of their papers we have counts for
7 papers · 1 filter
Qualitative Stability and Synchronicity Analysis of Power Network Models in Port-Hamiltonian Form
Volker Mehrmann, Riccardo Morandin, Simona Olmi +1
In view of highly decentralized and diversified power generation concepts, in particular with renewable energies such as wind and solar power, the analysis and control of the stabi…
Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control
Christian Mehl, Volker Mehrmann, Punit Sharma
Eigenvalue and eigenpair backward errors are computed for matrix pencils arising in optimal control. In particular, formulas for backward errors are developed that are obtained und…
Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization
Volker Mehrmann, Martin Schmidt, Jeroen J. Stolwijk
The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partia…
Port-Hamiltonian descriptor systems
Christopher Beattie, Volker Mehrmann, Hongguo Xu +1
The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebra…
On structure-preserving model reduction for damped wave propagation in transport networks
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer +2
We consider the discretization and subsequent model reduction of a system of partial differential-algebraic equations describing the propagation of pressure waves in a pipeline net…
Computing nearest stable matrix pairs
Nicolas Gillis, Volker Mehrmann, Punit Sharma
In this paper, we study the nearest stable matrix pair problem: given a square matrix pair , minimize the Frobenius norm of such that is a stable…
Adaptive Refinement Strategies for the Simulation of Gas Flow in Networks using a Model Hierarchy
Pia Domschke, Aseem Dua, Jeroen J. Stolwijk +2
A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of gas flow through a pipeline netwo…