46 citations · 201 across the 50 of their papers we have counts for
8 papers · 2 filters
Nonlinear Optimization of District Heating Networks
Richard Krug, Volker Mehrmann, Martin Schmidt
We develop a complementarity-constrained nonlinear optimization model for the time-dependent control of district heating networks. The main physical aspects of water and heat flow…
Optimal robustness of passive discrete time systems
Volker Mehrmann, Paul Van Dooren
We construct optimally robust realizations of a given rational transfer function that represents a passive discrete-time system. We link it to the solution set of linear matrix ine…
Port-Hamiltonian modeling of district heating networks
Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann +4
This paper provides a first contribution to port-Hamiltonian modeling of district heating networks. By introducing a model hierarchy of flow equations on the network, this work aim…
Optimal robustness of port-Hamiltonian systems
Volker Mehrmann, Paul Van Dooren
We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents a passive system. We show that the realization with a maximal pass…
Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis
Daniel Bankmann, Volker Mehrmann, Yurii Nesterov +1
In this paper formulas are derived for the analytic center of the solution set of linear matrix inequalities (LMIs) defining passive transfer functions. The algebraic Riccati equat…
Structure-preserving discretization for port-Hamiltonian descriptor systems
Volker Mehrmann, Riccardo Morandin
We extend the modeling framework of port-Hamiltonian descriptor systems to include under- and over-determined systems and arbitrary differentiable Hamiltonian functions. This struc…
Numerical methods to compute a minimal realization of a port-Hamiltonian system
Karim Cherifi, Volker Mehrmann, Kamel Hariche
Port-Hamiltonian (pH) systems are a very important modeling tool in almost all areas of systems and control, in particular in network based model of multi-physics multi-scale syste…
Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems
Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann
Port-based network modeling of multi-physics problems leads naturally to a formulation as port-Hamiltonian differential-algebraic system. In this way, the physical properties are d…