Stability analysis of dynamical neural networks with uncertain delays

Wu-Hua Chen, Wei Xing Zheng

    Research output: Chapter in Book / Conference PaperConference Paper

    Abstract

    The problem of stability of dynamical neural networks with uncertain delays is studied, where uncertain delays are assumed to be constant. In this paper, a new approach is developed to establish delay-dependent sufficient conditions for asymptotic stability of delayed neural networks. The new approach is a combination of the discretized Lyapunov functional method and the free-weighting matrix technique. The established delay- dependent sufficient conditions are expressed by means of linear matrix inequalities, and thus are easily checkable. The new delay-dependent stability conditions are further illustrated by numerical results and are also compared with the existing results.
    Original languageEnglish
    Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, held in Cancun, Mexico, 9-11 December, 2009
    PublisherIEEE
    Number of pages6
    ISBN (Print)9781424431243
    Publication statusPublished - 2009
    EventIEEE Conference on Decision and Control -
    Duration: 12 Dec 2017 → …

    Conference

    ConferenceIEEE Conference on Decision and Control
    Period12/12/17 → …

    Keywords

    • Lyapunov functions
    • neural networks (computer science)
    • stability
    • delays

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