72 citations · 187 across the 20 of their papers we have counts for
22 papers
Port-Hamiltonian systems with energy and power ports
Kaja Krhac, Bernhard Maschke, Arjan van der Schaft
We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external…
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
Friedrich Philipp, Manuel Schaller, Karl Worthmann +2
We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned…
Linear Boundary Port-Hamiltonian Systems with Implicitly Defined Energy
Bernhard Maschke, Arjan van der Schaft
In this paper we extend the previously introduced class of boundary port-Hamiltonian systems to boundary control systems where the variational derivative of the Hamiltonian functio…
Discrete gradient methods for irreversible port-Hamiltonian systems
Alexandre Anahory Simoes, David Martín de Diego, Bernhard Maschke
In this paper we introduce discrete gradient methods to discretize irreversible port-Hamiltonian systems showing that the main qualitative properties of the continuous system are p…
On the Generating Functions of Irreversible port-Hamiltonian Systems
Jonas Kirchhoff, Bernhard Maschke
We study the geometric structure of the drift dynamics of Irreversible port-Hamiltonian systems. This drift dynamics is defined with respect to a product of quasi-Poisson brackets,…
Port maps of Irreversible Port Hamiltonian Systems
Bernhard Maschke, Jonas Kirchhoff
Irreversible Port Hamiltonian Systems are departure of Port Hamiltonian Systems as they are generated not only by a Hamiltonian function but also by an entropy function and defined…
A case study of port-Hamiltonian systems with a moving interface
Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1
We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and p…
Infinite-dimensional port-Hamiltonian systems with a stationary interface
Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1
We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian syste…
Optimal control of thermodynamic port-Hamiltonian Systems
Bernhard Maschke, Friedrich Philipp, Manuel Schaller +2
We consider the problem of minimizing the entropy, energy, or exergy production for state transitions of irreversible port-Hamiltonian systems subject to control constraints. Via a…
Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
Timm Faulwasser, Bernhard Maschke, Friedrich Philipp +2
We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems subject to control and terminal state con…
Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
Friedrich Philipp, Manuel Schaller, Timm Faulwasser +2
We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomeno…
Differential operator Dirac structures
Arjan van der Schaft, Bernhard Maschke
As shown in earlier work, skew-adjoint linear differential operators, mapping efforts into flows, give rise to Dirac structures on a bounded spatial domain by a proper definition o…
Boundary controlled irreversible port-Hamiltonian systems
Hector Ramirez, Yann Le Gorrec, Bernhard Maschke
Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) on 1-dimensional spatial domains are defined by extending the formulation of reversible BC-PHS to irreversible t…
Control of port-Hamiltonian systems with minimal energy supply
Manuel Schaller, Friedrich Philipp, Timm Faulwasser +2
We investigate optimal control of linear port-Hamiltonian systems with control constraints, in which one aims to perform a state transition with minimal energy supply. Decomposing…
An Object-Oriented Library for Heat Transfer Modelling and Simulation in Open Cell Foams
Tobias M. Scheuermann, Paul Kotyczka, Christian Martens +4
Metallic open cell foams have multiple applications in industry, e. g. as catalyst supports in chemical processes. Their regular or heterogeneous microscopic structure determines t…
Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems
Arjan van der Schaft, Bernhard Maschke
After recalling standard nonlinear port-Hamiltonian systems and their algebraic constraint equations, called here Dirac algebraic constraints, an extended class of port-Hamiltonian…
Topological geometric extension of Stokes-Dirac structures for global energy flows
Gou Nishida, Bernhard Maschke
This paper clarifies a global structure of Stokes-Dirac structures used for describing interconnected port-Hamiltonian systems defined on manifolds with non-trivial topology under…
Geometry of Thermodynamic Processes
Arjan van der Schaft, Bernhard Maschke
Since the 1970s contact geometry has been recognized as an appropriate framework for the geometric formulation of the state properties of thermodynamic systems, without, however, a…
Generalized Port-Hamiltonian DAE Systems
Arjan van der Schaft, Bernhard Maschke
Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage b…
Open physical systems: from GENERIC to port-Hamiltonian systems
A. Moses Badlyan, B. Maschke, C. Beattie +1
Formulations of open physical systems within the framework of Non-Equilibrium Reversible/Irreversible Coupling (associated with the acronym "GENERIC") is related in this work with…
Weak Form of Stokes-Dirac Structures and Geometric Discretization of Port-Hamiltonian Systems
Paul Kotyczka, Bernhard Maschke, Laurent Lefèvre
We present the mixed Galerkin discretization of distributed parameter port-Hamiltonian systems. On the prototypical example of hyperbolic systems of two conservation laws in arbitr…
Port-Hamiltonian systems on graphs
A. J. van der Schaft, B. M. Maschke
In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is t…