455 citations · 1.1k across the 15 of their papers we have counts for
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math.OC2019
Optimal robustness of passive discrete time systems
Volker Mehrmann, Paul Van Dooren
We construct optimally robust realizations of a given rational transfer function that represents a passive discrete-time system. We link it to the solution set of linear matrix ine…
math.OC2018
Robust port-Hamiltonian representations of passive systems
Christopher Beattie, Volker Mehrmann, Paul Van Dooren
We discuss the problem of robust representations of stable and passive transfer functions in particular coordinate systems, and focus in particular on the so-called port-Hamiltonia…
math.OC2008★ 3 cited
H2-optimal approximation of MIMO linear dynamical systems
Paul Van Dooren, Kyle A. Gallivan, P. -A. Absil
We consider the problem of approximating a multiple-input multiple-output (MIMO) rational transfer function of high degree by another rational transf…