149 citations · 316 across the 44 of their papers we have counts for
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math.OC2023
Reciprocity of nonlinear systems
Arjan van der Schaft
One of the key contributions of the 1972 seminal paper by Willems was the analysis of symmetry (also called reciprocity) of input-state-output systems, both from an external (input…
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.OC2023★ 1 cited
Comparison of Non-deterministic Linear Systems by -Similarity
Armin Pirastehzad, Arjan van der Schaft, Bart Besselink
We introduce -similarity, a notion of system comparison that measures to what extent two stable linear dynamical systems behave similarly in an input-output sense. This beha…