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20112024
most citedWeak Form of Stokes-Dirac Structures and Geometric Discretization of Port-Hamiltonian Systems

72 citations · 187 across the 20 of their papers we have counts for

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Showing 2023Show all

7 papers · 1 filter

math.OC2023★ 1 cited

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…

math.OC2023★ 3 cited

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…

math.NA2023

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…

math.DS2023

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,…

math.DS2023

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…

math.AP2023

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…

math.AP2023★ 1 cited

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…