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Port-Hamiltonian Realizations of Linear Time Invariant Systems

01/14/2022
by   Christopher Beattie, et al.
Berlin Institute of Technology (Technische Universität Berlin)
Virginia Polytechnic Institute and State University
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.

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