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Controllability of Passive Single-Input Single-Output Systems

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Abstract

We provide a complete set of necessary and sufficient conditions for both conservative (lossless) and passive single-input single-output systems (Theorems 5 and 7, respectively). These conditions generalise the famous lossless positivereal lemma and positive-real lemma, respectively, by extending them to include uncontrollable systems

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European Control Conference: ECC16

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IEEE

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This work was completed while the author was a Henslow Research Fellow, supported by the Cambridge Philosophical Society, www.cambridgephilosophicalsociety.org