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Main Title: Port-Hamiltonian Realizations of Linear Time Invariant Systems
Author(s): Beattie, Christopher
Mehrmann, Volker
Xu, Hongguo
Type: Research Paper
Abstract: 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 Willems 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.
Subject(s): port-Hamiltonian system
system transformation
linear matrix inequality
Lyapunov inequality
even pencil
quadratic eigenvalue problem
Issue Date: 12-Nov-2015
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93A30 Mathematical modeling
93B17 Transformations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 23
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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