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Delay-dependent stability for neural networks with time-varying delays via a novel partitioning method

机译:具有时变时滞的神经网络的时滞相关稳定性

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摘要

In this brief, a novel partitioning method for the conditions on bounding the activation function in the stability analysis of neural networks systems with time-varying delays is presented. Certain further improved delay-dependent stability conditions, which are expressed in terms of linear matrix inequalities (LMIs), are derived by employing a suitable Lyapunov-Krasovskii functional (LKF) and utilizing the Wirtinger integral inequality. Two well-known examples are investigated in a comparison mode with results to show the effectiveness and improvements achieved by the new results proposed. (C) 2015 Elsevier B.V. All rights reserved.
机译:在本文中,提出了一种具有时变时滞的神经网络系统稳定性分析中用于限制激活函数条件的新颖分割方法。通过采用合适的Lyapunov-Krasovskii泛函(LKF)并利用Wirtinger积分不等式,可以得出以线性矩阵不等式(LMI)表示的某些进一步改进的依赖于延迟的稳定性条件。在比较模式下研究了两个著名的例子,结果显示了所提出的新结果的有效性和改进。 (C)2015 Elsevier B.V.保留所有权利。

著录项

  • 来源
    《Neurocomputing》 |2016年第3期|1017-1027|共11页
  • 作者单位

    Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China;

    Dalian Univ Technol, Sch Aeronaut & Astronaut, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China;

    Dogus Univ, Sch Engn, TR-34722 Istanbul, Turkey|St Cyril & St Methodius Univ, Sch FEIT, MK-1000 Skopje, Macedonia;

  • 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

    Neural networks; Time-varying delay; Stability; Lyapunov-Krasovskii functional; Wirtinger integral inequality;

    机译:神经网络;时变时滞;稳定性;Lyapunov-Krasovskii泛函;Wirtinger积分不等式;
  • 入库时间 2022-08-18 02:06:20

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