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LMI-based exponential stability criterion for bidirectional associative memory neural networks

机译:双向联想记忆神经网络的基于LMI的指数稳定性准则

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摘要

In this paper, we investigate the problem of global exponential stability analysis for a class of bidirectional associative memory (BAM) neural networks with interval time-delays. Improved exponential stability condition is derived by employing new Lyapunov-Krasovskii functional and the integral inequality. Several special cases of interest are derived. The developed stability criteria are delay dependent and characterized by linear matrix inequalities (LMIs). The developed results are shown to be less conservative than previous published ones in the literature. Finally, simulations of two numerical examples are provided to demonstrate the efficacy of our approach.
机译:在本文中,我们研究了一类具有间隔时间延迟的双向联想记忆(BAM)神经网络的全局指数稳定性分析问题。通过采用新的Lyapunov-Krasovskii泛函和积分不等式,可以得到改进的指数稳定性条件。得出了一些特殊的情况。所开发的稳定性标准取决于延迟,并以线性矩阵不等式(LMI)为特征。与文献中先前公布的结果相比,所显示的结果显示出不那么保守。最后,提供了两个数值示例的仿真,以证明我们的方法的有效性。

著录项

  • 来源
    《Neurocomputing》 |2010年第3期|p.284-290|共7页
  • 作者

    Magdi S. Mahmoud; Yuanqing Xia;

  • 作者单位

    Systems Engineering Department, King Fahd University of Petroleum and Minerals, P. o. Box 985, Dhahran 31261, Saudi Arabia;

    Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, 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

    global exponential stability; BAM neural networks; interval time-delays; LMIs;

    机译:全局指数稳定性BAM神经网络;间隔时间延迟;LMI;
  • 入库时间 2022-08-18 02:08:25

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