Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14612
For citation please use:
Main Title: Port-Hamiltonian Realizations of Linear Time Invariant Systems
Author(s): Beattie, Christopher
Mehrmann, Volker
Xu, Hongguo
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15839
http://dx.doi.org/10.14279/depositonce-14612
License: http://rightsstatements.org/vocab/InC/1.0/
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
passivity
stability
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

Files in This Item:
BeaMX15_ppt.pdf
Format: Adobe PDF | Size: 398.74 kB
DownloadShow Preview
Thumbnail

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.