Interconnection of J-lossless behaviours

S. Rao

    Research output: Contribution to journalArticleAcademicpeer-review

    2 Citations (Scopus)

    Abstract

    In this paper, motivated by the phenomenon of the interconnection of lossless electrical networks, a class of behaviours known as J-lossless behaviours is introduced, where J is a symmetric two-variable polynomial matrix. It is shown that for certain values of J, interconnection of J-lossless behaviours leads to an oscillatory behaviour. Physically this translates to the fact that interconnection of two multi-port lossless electrical networks results in an autonomous lossless electrical network. Finally, the problem of decomposition of an oscillatory behaviour with a given characteristic polynomial as an interconnection of two single-input–single-output behaviours, such that one has a lossless positive real transfer function and the other has a lossless negative real transfer function is also considered. This problem can be viewed as an inverse problem to the one of interconnection of J-lossless behaviours.
    Original languageUndefined
    Pages (from-to)323-332
    Number of pages10
    JournalSystems and control letters
    Volume59
    Issue number6
    DOIs
    Publication statusPublished - Jun 2010

    Keywords

    • Oscillatory behaviours
    • EWI-18114
    • Behavioural systems theory
    • Linear lossless systems
    • IR-72318
    • Lossless positive real transfer functions
    • Quadratic differential forms
    • METIS-270901
    • Lossless electrical networks

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