Some new results in the theory of negative imaginary systems with symmetric transfer matrix function
This note represents a first attempt to provide a definition and characterisation of negative imaginary systems for not necessarily rational transfer functions via a sign condition expressed in the entire domain of analyticity, along the same lines of the classic definition of positive real systems....
| Main Authors: | , |
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| Format: | Journal Article |
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Pergamon
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/7841 |
| _version_ | 1848745485622312960 |
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| author | Ferrante, A. Ntogramatzidis, Lorenzo |
| author_facet | Ferrante, A. Ntogramatzidis, Lorenzo |
| author_sort | Ferrante, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This note represents a first attempt to provide a definition and characterisation of negative imaginary systems for not necessarily rational transfer functions via a sign condition expressed in the entire domain of analyticity, along the same lines of the classic definition of positive real systems. Under the standing assumption of symmetric transfer functions, we then derive a necessary and sufficient condition that characterises negative imaginary transfer functions in terms of a matrix sign condition restricted to the imaginary axis, once again following the same line of argument of the standard positive real case. Using this definition, even transfer functions with a pole at the origin with double multiplicity, as well as with a possibly negative relative degree, can be negative imaginary. |
| first_indexed | 2025-11-14T06:18:07Z |
| format | Journal Article |
| id | curtin-20.500.11937-7841 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:18:07Z |
| publishDate | 2013 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-78412019-02-19T04:26:27Z Some new results in the theory of negative imaginary systems with symmetric transfer matrix function Ferrante, A. Ntogramatzidis, Lorenzo Reciprocal mm-ports Symmetric transfer functions Negative imaginary systems This note represents a first attempt to provide a definition and characterisation of negative imaginary systems for not necessarily rational transfer functions via a sign condition expressed in the entire domain of analyticity, along the same lines of the classic definition of positive real systems. Under the standing assumption of symmetric transfer functions, we then derive a necessary and sufficient condition that characterises negative imaginary transfer functions in terms of a matrix sign condition restricted to the imaginary axis, once again following the same line of argument of the standard positive real case. Using this definition, even transfer functions with a pole at the origin with double multiplicity, as well as with a possibly negative relative degree, can be negative imaginary. 2013 Journal Article http://hdl.handle.net/20.500.11937/7841 10.1016/j.automatica.2013.03.008 Pergamon fulltext |
| spellingShingle | Reciprocal mm-ports Symmetric transfer functions Negative imaginary systems Ferrante, A. Ntogramatzidis, Lorenzo Some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| title | Some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| title_full | Some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| title_fullStr | Some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| title_full_unstemmed | Some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| title_short | Some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| title_sort | some new results in the theory of negative imaginary systems with symmetric transfer matrix function |
| topic | Reciprocal mm-ports Symmetric transfer functions Negative imaginary systems |
| url | http://hdl.handle.net/20.500.11937/7841 |