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  • Less conservative stability criteria for linear systems with interval time-varying delays

    Author(s)
    Sun, Jian
    Han, Qing-Long
    Chen, Jie
    Liu, Guo-Ping
    Griffith University Author(s)
    Han, Qing-Long
    Year published
    2015
    Metadata
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    Abstract
    The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on the proposed Lyapunov–Krasovskii functional, two stability conditions are developed using two different methods to estimate Lyapunov–Krasovskii functional's derivative. Two numerical examples are given to illustrate that the two stability ...
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    The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on the proposed Lyapunov–Krasovskii functional, two stability conditions are developed using two different methods to estimate Lyapunov–Krasovskii functional's derivative. Two numerical examples are given to illustrate that the two stability conditions are complementary and yield a larger maximum upper bound of the time-varying delay than some existing results.
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    Journal Title
    International Journal of Robust and Nonlinear Control
    Volume
    25
    Issue
    4
    DOI
    https://doi.org/10.1002/rnc.3096
    Subject
    Applied Mathematics not elsewhere classified
    Applied Mathematics
    Electrical and Electronic Engineering
    Mechanical Engineering
    Publication URI
    http://hdl.handle.net/10072/172072
    Collection
    • Journal articles

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