A theory of passive linear systems with no assumptions
Date
2017-09-09Author
Hughes, TH
Date issued
2017-09-09
Journal
Automatica
Type
Article
Language
en
Publisher
Elsevier
Rights
This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Embargo
2018-09-09
Reason for embargo
Publisher policy
Abstract
We present two linked theorems on passivity: the passive behavior theorem, parts 1 and 2. Part 1 provides necessary and sufficient conditions for a general linear system, described by a set of high order differential equations, to be passive. Part 2 extends the positive-real lemma to include uncontrollable and unobservable state-space systems.
Funders/Sponsor
This research was conducted in part during a Fellowship supported by the Cambridge Philosophical Society , http://www.cambridgephilosophicalsociety.org.
Description
This is the author's accepted version
Final version available from Elsevier via the DOI in this record
Citation
Vol. 86, pp. 87-97
ISSN
0005-1098