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A theory of passive linear systems with no assumptions

Published 18 Nov 2016 in cs.SY | (1611.06140v3)

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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