46 citations · 201 across the 50 of their papers we have counts for
22 papers · 1 filter
Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +2
The relationship between different dissipativity concepts for linear time-varying systems is studied, in particular between port-Hamiltonian systems, passive systems, and systems w…
A geometric framework for discrete time port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interco…
Hidden regularity in singular optimal control of port-Hamiltonian systems
Timm Faulwasser, Jonas Kirchhoff, Volker Mehrmann +3
We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy suppl…
On discrete-time dissipative port-Hamiltonian (descriptor) systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for lin…
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…
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems
Volker Mehrmann, Paul Van Dooren
When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue…
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…
Robust port-Hamiltonian representations of passive systems
Christopher Beattie, Volker Mehrmann, Paul Van Dooren
We discuss the problem of robust representations of stable and passive transfer functions in particular coordinate systems, and focus in particular on the so-called port-Hamiltonia…
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…