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    Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities

    Access Status
    Fulltext not available
    Authors
    Xiao, S.
    Xu, L.
    Zeng, H.
    Teo, Kok Lay
    Date
    2018
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Xiao, S. and Xu, L. and Zeng, H. and Teo, K.L. 2018. Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities. International Journal of Control, Automation and Systems. 16 (4): pp. 1592–1602.
    Source Title
    International Journal of Control, Automation and Systems
    DOI
    10.1007/s12555-017-0279-8
    ISSN
    1598-6446
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/69464
    Collection
    • Curtin Research Publications
    Abstract

    This paper is concerned with the stability analysis of linear discrete time-delay systems. New discrete inequalities for single summation and double summation are presented to estimate summation terms in the forward difference of Lyapunov-Krasovskii functional (LKF), which are more general than some commonly used summation inequalities. Through the construction of an augmented LKF, improved delay-dependent stability criteria for discrete time-delay systems are established. Based on this, a time-delayed controller is derived for linear discrete time-delay systems. Finally, the advantages of the proposed criteria are revealed from the solutions of the numerical examples.

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