A theory of passive linear systems with no assumptions
Systems and Control
2018-01-24 v3
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.
Keywords
Cite
@article{arxiv.1611.06140,
title = {A theory of passive linear systems with no assumptions},
author = {Timothy H. Hughes},
journal= {arXiv preprint arXiv:1611.06140},
year = {2018}
}