A theory of passive linear systems with no assumptions

View/Open

passive_behav_sf_rev_sr_sub.pdf (1.024Mb)

Date

2017-09-09

Author

Hughes, TH

Date issued

2017-09-09

Journal

Automatica

Type

Article

Language

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.