Port-Hamiltonian Realizations of Linear Time Invariant Systems

01/14/2022

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by   Christopher Beattie, et al.

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Berlin Institute of Technology (Technische Universität Berlin)

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Virginia Polytechnic Institute and State University

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The University of Kansas

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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 <cit.> 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.