72 citations · 164 across the 8 of their papers we have counts for
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math.DS2018
Discrete-time port-Hamiltonian systems: A definition based on symplectic integration
Paul Kotyczka, Laurent Lefèvre
We introduce a new definition of discrete-time port-Hamiltonian systems (PHS), which results from structure-preserving discretization of explicit PHS in time. We discretize the und…
math.DS2017★ 72 cited
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…