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Port-Hamiltonian realizations of linear time invariant systems

Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo

SFB 1029 - TurbIn

The question when a general linear time invariant control system is equivalent to a port-Hamiltonian systems is answered. Several equivalent characterizations are derived which extend the characterizations of [38] to the general non-minimal case. An explicit construction of the transformation matrices is presented. The methods are applied in the stability analysis of disc brake squeal.