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20182024
most citedAn Object-Oriented Library for Heat Transfer Modelling and Simulation in Open Cell Foams

2 citations · 4 across the 3 of their papers we have counts for

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6 papers · 1 filter

math.OC20222 cited

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…

math.OC2021

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…

math.OC2021

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…

math.OC2020

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…

math.OC2019

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…

math.OC2018

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…