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math.DS2022
Towards a modeling class for port-Hamiltonian systems with time-delay
Tobias Breiten, Dorothea Hinsen, Benjamin Unger
The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this paper, we extend the scope of pH systems to time-delay systems. Our d…
math.DS2021
Passivity preserving model reduction via spectral factorization
Tobias Breiten, Benjamin Unger
We present a novel model-order reduction (MOR) method for linear time-invariant systems that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonia…