149 citations · 316 across the 44 of their papers we have counts for
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Discrete Exterior Geometry Approach to Structure-Preserving Discretization of Distributed-Parameter Port-Hamiltonian Systems
Marko Seslija, Arjan van der Schaft, Jacquelien M. A. Scherpen
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior…
On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics
Arjan van der Schaft, Shodhan Rao, Bayu Jayawardhana
Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kin…
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…
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian Systems
Serkan Gugercin, Rostyslav V. Polyuga, Christopher Beattie +1
Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop the fram…