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Stability analysis for delayed cellular neural networks based on linear matrix inequality approach

  • Xiaofeng Liao
  • , Kwok-W.O. Wong
  • , Shizhong Yang

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Abstract

    Some sufficient conditions for the asymptotic stability of cellular neural networks with time delay are derived using the Lyapunov-Krasovskii stability theory for functional differential equations as well as the linear matrix inequality (LMI) approach. The analysis shows how some well-known results can be refined and generalized in a straightforward manner. Moreover, the stability criteria obtained are delay-independent. They are less conservative and restrictive than those reported so far in the literature, and provide a more general set of criteria for determining the stability of delayed cellular neural networks.
    Original languageEnglish
    Pages (from-to)3377-3384
    JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
    Volume14
    Issue number9
    DOIs
    Publication statusPublished - Sept 2004

    Research Keywords

    • Asymptotic stability
    • Cellular neural networks
    • Linear matrix inequality
    • Lyapunov-Krasovskii stability theory
    • Time delay

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