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arXiv · 1611.06140

A theory of passive linear systems with no assumptions

Timothy H. Hughes
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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.

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Timothy H. Hughes. 2016-11-18. A theory of passive linear systems with no assumptions. https://doi.org/10.1016/j.automatica.2017.08.017

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