Exponential stability analysis for impulsive neural networks with time-varying delays

Shui-Ming Cai, Feng-Dan Xu, Wei Xing Zheng, Zeng-Rong Liu

    Research output: Chapter in Book / Conference PaperConference Paper

    Abstract

    ![CDATA[The main purpose of this paper is to further investigate the stability problem of impulsive neural networks with time-varying delays in the case that the underlying continuous delayed neural networks are unstable. By establishing an impulsive delayed differential inequality, some novel and less conservative criteria for global exponential stability of the equilibrium point of such model are derived analytically. It is shown that under certain conditions, impulses can make the underlying continuous unstable delayed neural networks globally exponentially stable. Our results have improved and generalized some published results and are help to design stability of neural networks when both delay effect and impulsive effect are taken into consideration. An example is also given to show the effectiveness of our results.]]
    Original languageEnglish
    Title of host publicationOptimization and Systems Biology: The Third International Symposium, OSB'09, Zhangjiajie, China, September 20-22, 2009. Proceedings
    PublisherWorld Publishing Corporation
    Pages81-88
    Number of pages8
    ISBN (Print)9787510005497
    Publication statusPublished - 2009
    EventInternational Symposium on Optimization and Systems Biology -
    Duration: 1 Jan 2009 → …

    Conference

    ConferenceInternational Symposium on Optimization and Systems Biology
    Period1/01/09 → …

    Keywords

    • time delay systems
    • neural networks (computer science)

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