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Exponential stability for stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays

机译:具有离散和分布时变时滞的随机Cohen-Grossberg BAM神经网络的指数稳定性

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摘要

This paper considers the issue of exponential stability analysis for stochastic Cohen-Grossberg BAM (SCGBAM) neural networks with discrete and distributed time-varying delays. The exponential stability criteria are proposed by applying stochastic analysis theory and establishing a new Lyapunov-Krasovskii functional. A set of novel sufficient conditions is obtained to guarantee the exponential stability of stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays. The several exponential stability criteria proposed in this paper are simpler and effective. Finally, two numerical examples are provided to demonstrate the low conservatism and effectiveness of the proposed results.
机译:本文考虑具有离散和分布时变时滞的随机Cohen-Grossberg BAM(SCGBAM)神经网络的指数稳定性分析问题。通过应用随机分析理论并建立新的Lyapunov-Krasovskii泛函,提出了指数稳定准则。获得了一组新颖的充分条件,以保证具有离散和分布时变时滞的随机Cohen-Grossberg BAM神经网络的指数稳定性。本文提出的几个指数稳定性判据更简单有效。最后,提供了两个数值示例来说明所提出的结果的低保守性和有效性。

著录项

  • 来源
    《Neurocomputing》 |2014年第15期|144-151|共8页
  • 作者单位

    School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;

    School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;

    School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;

    School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;

    School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Cohen-Grossberg BAM neural networks; Exponential stability; Linear matrix inequality; Stochastic effect; Time-varying delays;

    机译:Cohen-Grossberg BAM神经网络;指数稳定性线性矩阵不等式;随机效应;时变延迟;

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