A theory of passive linear systems with no assumptions
arXiv:1611.0614020 citationsh-index: 9
Originality Incremental advance
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Provides foundational theoretical results for passivity in linear systems, removing common assumptions like controllability or observability.
The paper presents two theorems on passivity for linear systems: necessary and sufficient conditions for passivity in general high-order differential equation systems, and an extension of the positive-real lemma to uncontrollable/unobservable systems.
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.