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    Controllability and dissipativity analysis for linear systems with derivative input

    Access Status
    Fulltext not available
    Authors
    Qiao, L.
    Zhang, Q.
    Liu, Wan-Quan
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Qiao, L. and Zhang, Q. and Liu, W. 2015. Controllability and dissipativity analysis for linear systems with derivative input. Journal of the Franklin Institute. 353 (2): pp. 478-499.
    Source Title
    Journal of the Franklin Institute
    DOI
    10.1016/j.jfranklin.2015.11.017
    ISSN
    0016-0032
    School
    Department of Computing
    URI
    http://hdl.handle.net/20.500.11937/40680
    Collection
    • Curtin Research Publications
    Abstract

    This paper investigates controllability and dissipativity analysis problem for linear systems with derivative input. First, we show that linear systems with derivative input can be changed into special class of singular systems. A necessary and sufficient condition for the controllability of linear systems with derivative input is derived. Second, a necessary and sufficient condition for the dissipativity of this type of linear systems with quadratic form storage function is derived using the linear matrix inequality approach. Based on this condition, the dissipativity of singular systems with impulse behavior is investigated and a parametrization for all possible solutions on dissipativity is presented. Finally, two examples are given to show the validity of the derived results.

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