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Pth Moment exponential stability of stochastic delayed hybrid systems with Levy noise

机译:具有Levy噪声的随机时滞混合系统的Pth Moment指数稳定性。

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摘要

In this paper, the problem of pth moment exponential stability analysis is considered for stochastic delayed hybrid systems with L6vy noise. By the technique of stochastic analysis as well as M-matrix theories, we propose some sufficient conditions to guarantee the exponential stability of the system. The criterion of mean square exponential stability for delayed neural networks with Levy noise is derived as well. A numerical example is provided to show the usefulness of the proposed exponential stability criterion.
机译:本文考虑具有L6vy噪声的随机时滞混合系统的pth矩指数稳定性分析问题。通过随机分析技术和M矩阵理论,我们提出了一些充分的条件来保证系统的指数稳定性。还推导了具有Levy噪声的时滞神经网络的均方指数稳定性准则。提供了一个数值示例来说明所提出的指数稳定性准则的有效性。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2015年第18期|5650-5658|共9页
  • 作者单位

    College of Information Sciences and Technology, Donghua University, Shanghai 201620, China;

    College of Information Sciences and Technology, Donghua University, Shanghai 201620, China,School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China;

    College of Information Sciences and Technology, Donghua University, Shanghai 201620, China;

    College of Information Sciences and Technology, Donghua University, Shanghai 201620, China;

    College of Information Sciences and Technology, Donghua University, Shanghai 201620, China;

    College of Information Sciences and Technology, Donghua University, Shanghai 201620, 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

    Exponential stability; Stochastic hybrid systems; Levy noise; Generalized Ito's formula; M-matrix; Neural networks;

    机译:指数稳定性随机混合系统;杂音;伊藤广义公式;M-矩阵;神经网络;
  • 入库时间 2022-08-18 02:59:34

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