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math.OC2025
Computation of structured stability radii for Dissipative-Hamiltonian systems
Peter Benner, Volker Mehrmann, Anshul Prajapati +1
We study linear time-invariant Dissipative Hamiltonian (DH) systems arising in energy-based modeling of dynamical systems. An advantage of DH systems is that they are always stable…
math.OC2024
Port-Hamiltonian Modeling and Control of Electric Vehicle Charging Stations
Hannes Gernandt, Bernardo Severino, Xinyi Zhang +2
Electric vehicles (EV) are an important part of future sustainable transportation. The increasing integration of EV charging stations (EVCSs) in the existing power grids require ne…
math.OC2024
Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities
Volker Mehrmann, Hongguo Xu
The characterization of the solution set for a class of algebraic Riccati inequalities is studied. This class arises in the passivity analysis of linear time invariant control syst…