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On the definition of negative imaginary system for not necessarily rational symmetric transfer functions

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Authors
Ferrante, A.
Ntogramatzidis, Lorenzo
Date
2013
Type
Conference Paper

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Ferrante, Augusto and Ntogramatzidis, Lorenzo. 2013. On the definition of negative imaginary system for not necessarily rational symmetric transfer functions, in Proceedings of the 2013 European Control Conference (ECC), Jul 17-19 2013, pp. 312-316. Zürich, Switzerland: IEEE.
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European Control Conference (ECC)
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2013 European Control Conference (ECC)
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Abstract

In this paper we provide a definition and characterisation of negative imaginary systems for not necessarily rational but symmetric transfer functions along the same lines of the classic definition of positive real systems. We then derive a necessary and sufficient condition that characterises symmetric negative imaginary transfer functions in terms of a matrix sign condition on the imaginary axis.