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A theory of passive linear systems with no assumptions.

Authors :
Hughes, Timothy H.
Source :
Automatica. Dec2017, Vol. 86, p87-97. 11p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PASSIVITY (Engineering)
*AUTOMATIC control systems
*PASSIVITY-based control
*LINEAR systems
*MATHEMATICAL models
*DIFFERENTIAL equations

Details

Language :
English
ISSN :
00051098
Volume :
86
Database :
Academic Search Index
Journal :
Automatica
Publication Type :
Academic Journal
Accession number :
125681656
Full Text :
https://doi.org/10.1016/j.automatica.2017.08.017
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