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Stability analysis of stochastic neural networks with Markovian jump parameters using delay-partitioning approach

机译:马尔可夫跳跃参数的随机神经网络的时滞划分稳定性分析

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摘要

In this paper, the problem of mean square asymptotic stability of stochastic neural networks with Markovian jumping parameters is considered. By choosing an augmented Lyapunov-Krasovskii functional and utilizing the delay-partitioning method, novel delay-dependent mean square asymptotic stability conditions are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed approach.
机译:研究了具有马尔可夫跳跃参数的随机神经网络的均方渐近稳定性问题。通过选择增强的Lyapunov-Krasovskii泛函并利用延迟划分方法,根据线性矩阵不等式推导了新型的依赖延迟的均方渐近稳定条件。数值例子说明了该方法的有效性。

著录项

  • 来源
    《Neurocomputing》 |2013年第1期|22-28|共7页
  • 作者单位

    Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China,School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, 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

    asymptotic stability; time-varying delays; delay-partitioning; stochastic neural networks;

    机译:渐近稳定性随时间变化的延迟;延迟分区随机神经网络;

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