46 citations · 201 across the 50 of their papers we have counts for
6 papers · 2 filters
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…
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…
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…
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…