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

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 symme...

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Main Authors: Ferrante, A., Ntogramatzidis, Lorenzo
Other Authors: -
Format: Conference Paper
Published: IEEE 2013
Online Access:http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6669283
http://hdl.handle.net/20.500.11937/47405
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author Ferrante, A.
Ntogramatzidis, Lorenzo
author2 -
author_facet -
Ferrante, A.
Ntogramatzidis, Lorenzo
author_sort Ferrante, A.
building Curtin Institutional Repository
collection Online Access
description 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.
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format Conference Paper
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institution Curtin University Malaysia
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last_indexed 2025-11-14T09:34:13Z
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spelling curtin-20.500.11937-474052017-01-30T15:33:04Z On the definition of negative imaginary system for not necessarily rational symmetric transfer functions Ferrante, A. Ntogramatzidis, Lorenzo - 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. 2013 Conference Paper http://hdl.handle.net/20.500.11937/47405 http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6669283 IEEE fulltext
spellingShingle Ferrante, A.
Ntogramatzidis, Lorenzo
On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
title On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
title_full On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
title_fullStr On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
title_full_unstemmed On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
title_short On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
title_sort on the definition of negative imaginary system for not necessarily rational symmetric transfer functions
url http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6669283
http://hdl.handle.net/20.500.11937/47405