46 citations · 201 across the 50 of their papers we have counts for
13 papers · 1 filter
Hypocoercivity in algebraically constrained partial differential equations with application to Oseen equations
Franz Achleitner, Anton Arnold, Volker Mehrmann
The long-time behavior of solutions to different versions of Oseen equations of fluid flow on the 2D torus is analyzed using the concept of hypocoercivity. The considered models ar…
Fiedler Linearizations of Rectangular Rational Matrix Functions
Namita Behera, Avisek Bist, Volker Mehrmann
Linearization is a standard approach in the computation of eigenvalues, eigenvectors and invariant subspaces of matrix polynomials and rational matrix value functions. An important…
Linear port-Hamiltonian DAE systems revisited
Arjan van der Schaft, Volker Mehrmann
Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has…
Differential-algebraic systems with dissipative Hamiltonian structure
V. Mehrmann, A. J. van der Schaft
Different representations of dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and alge…
Hierarchical modeling for an industrial implementation of a Digital Twin for electrical drives
Karim Cherifi, Philipp Schulze, Volker Mehrmann +2
Digital twins have become popular for their ability to monitor and optimize a process or a machine, ideally through its complete life cycle using simulations and sensor data. In th…
Structure-Preserving Model Order Reduction for Index Two Port-Hamiltonian Descriptor Systems
Tim Moser, Paul Schwerdtner, Volker Mehrmann +1
We present a new optimization-based structure-preserving model order reduction (MOR) method for port-Hamiltonian descriptor systems (pH-DAEs) with differentiation index two. Our me…
Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
Paul Schwerdtner, Tim Moser, Volker Mehrmann +1
We develop optimization-based structure-preserving model order reduction (MOR) methods for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems…
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries
Peter Kunkel, Volker Mehrmann
Discretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE).…
Hypocoercivity and hypocontractivity concepts for linear dynamical systems
Franz Achleitner, Anton Arnold, Volker Mehrmann
For linear dynamical systems (in continuous-time and discrete-time) we revisit and extend the concepts of hypocoercivity and hypocontractivity and give a detailed analysis of the r…
A Lagrange subspace approach to dissipation inequalities
Arjan van der Schaft, Volker Mehrmann
The standard dissipation inequality for passivity is extended from storage functions to general Lagrange subspaces. This is shown to have some interesting consequences. A classical…
Local and global canonical forms for differential-algebraic equations with symmetries
Peter Kunkel, Volker Mehrmann
Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonic…
Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs
Hannes Dänschel, Volker Mehrmann, Marius Roland +1
We propose an adaptive optimization algorithm for operating district heating networks in a stationary regime. The behavior of hot water flow in the pipe network is modeled using th…
Port-Hamiltonian Realizations of Nonminimal Linear Time Invariant Systems
Christopher Beattie, Volker Mehrmann, Hongguo Xu
Numerical methods for developing port-Hamiltonian representations of general linear time-invariant systems are studied. The approach extends previous port-Hamiltonian characterizat…