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    Foundations of not necessarily rational negative imaginary systems theory: relations between classes of negative imaginary and positive real systems. IEEE Transactions on Automatic Control

    240690_240690.pdf (227.3Kb)
    Access Status
    Open access
    Authors
    Ferrante, Augusto
    Lanzon, A.
    Ntogramatzidis, Lorenzo
    Date
    2016
    Type
    Journal Article
    
    Metadata
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    Citation
    Ferrante, A. and Lanzon, A. and Ntogramatzidis, L. 2016. Foundations of not necessarily rational negative imaginary systems theory: relations between classes of negative imaginary and positive real systems. IEEE Transactions on Automatic Control. 61 (10): pp. 3052-3057.
    Source Title
    IEEE Transactions on Automatic Control
    DOI
    10.1109/TAC.2015.2497461
    ISSN
    0018-9286
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/41231
    Collection
    • Curtin Research Publications
    Abstract

    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 our general framework negative imaginary systems are defined in terms of a domain of analyticity of the transfer function and of a sign condition that must be satisfied in such domain. In this way, we do not require to restrict the attention to systems with a rational transfer function. In this work, we also define various grades of negative imaginary systems and aim to provide a unitary view of the different notions that have appeared so far in the literature within the framework of positive real and in the more recent theory of negative imaginary systems, and to show how these notions are characterized and linked to each other.

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