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

    196114_196114.pdf (158.6Kb)
    Access Status
    Open access
    Authors
    Ferrante, A.
    Ntogramatzidis, Lorenzo
    Date
    2013
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    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.
    Source Title
    European Control Conference (ECC)
    Source Conference
    2013 European Control Conference (ECC)
    Additional URLs
    http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6669283
    ISBN
    978-303303962-9
    Remarks

    Copyright © 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

    URI
    http://hdl.handle.net/20.500.11937/47405
    Collection
    • Curtin Research Publications
    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.

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    • Some new results in the theory of negative imaginary systems with symmetric transfer matrix function
      Ferrante, A.; Ntogramatzidis, Lorenzo (2013)
      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 ...
    • Foundations of not necessarily rational negative imaginary systems theory: relations between classes of negative imaginary and positive real systems. IEEE Transactions on Automatic Control
      Ferrante, Augusto; Lanzon, A.; Ntogramatzidis, Lorenzo (2016)
      In this technical note we lay the foundations of a not necessarily rational negative imaginary systems theory and its relations with positive real systems theory. In analogy with the theory of positive real functions, in ...
    • Discrete-time negative imaginary systems
      Ferrante, A.; Lanzon, A.; Ntogramatzidis, Lorenzo (2017)
      In this paper we introduce the notion of a discrete-time negative imaginary system and we investigate its relations with discrete-time positive real system theory. In the framework presented here, discrete-time negative ...
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