Determining "mixedness" and an application of finite-gain stability results to "mixed" system interconnections

Wynita M. Griggs, Brian D.O. Anderson, Robert N. Shorten

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    2 Citations (Scopus)

    Abstract

    A loss of passivity in the face of certain frequency dynamics (eg: high frequency dynamics) given an otherwise passive system leads to the notion of a "mixed" system. A "mixed" system is one that has a concept of small gain associated with it over those frequency intervals where passivity is lost. In this paper, a test for determining "mixedness" for linear, time-invariant systems is provided and several finitegain stability results for interconnections of such systems are presented. The "mixedness" test involves examining the spectral characteristics of two Hamiltonian matrices, one associated with the passive aspects of the system and one associated with the notion of small gain. The finite-gain stability results are derived using a dissipative systems framework.

    Original languageEnglish
    Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages714-719
    Number of pages6
    ISBN (Print)9781424477456
    DOIs
    Publication statusPublished - 2010
    Event49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
    Duration: 15 Dec 201017 Dec 2010

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference49th IEEE Conference on Decision and Control, CDC 2010
    Country/TerritoryUnited States
    CityAtlanta
    Period15/12/1017/12/10

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