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首页> 外文期刊>Neurocomputing >Robust H_∞ filter design for uncertain stochastic Markovian jump Hopfield neural networks with mode-dependent time-varying delays
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Robust H_∞ filter design for uncertain stochastic Markovian jump Hopfield neural networks with mode-dependent time-varying delays

机译：具有模式依赖时变时滞的不确定随机Markovian跳跃Hopfield神经网络的鲁棒H_∞滤波器设计

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摘要

This paper addresses the problem of robust H_∞ filter design for a class of stochastic Markovian jump Hopfield neural networks with mode-dependent time-varying delays and norm-bounded parameter uncertainties. The purpose is to design a mode-dependent linear filtering which ensures that for all admissible uncertainties, the filtering error system is not only stochastically asymptotically stable in the large, but also satisfies a prescribed H_∞-norm level. Some novel mode-dependent and delay-dependent sufficient conditions for the solvability of this problem are obtained. The desired filter can be constructed by solving a set of strict linear matrix inequalities. A numerical example is provided to illustrate the effectiveness of the proposed method.
机译：本文针对一类具有依赖于模式的时变时滞和范数有界参数不确定性的随机Markovian跳跃Hopfield神经网络，解决了鲁棒H_∞滤波器设计的问题。目的是设计一种与模式有关的线性滤波，以确保对于所有可接受的不确定性，滤波误差系统不仅在较大程度上随机渐近稳定，而且还满足规定的H_∞-范数水平。获得了一些新颖的依赖于模式和依赖于延迟的足以解决该问题的条件。可以通过求解一组严格的线性矩阵不等式来构造所需的滤波器。数值例子说明了所提方法的有效性。

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  • 来源
    《Neurocomputing》 |2014年第15期|181-189|共9页
  • 作者

    Guangming Zhuang; Junwei Lu; Minsong Zhang;

  • 作者单位

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China,School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China;

    School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, PR China;

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China,School of Mathematics and Computer Science, Hubei University of Arts and Science, XiangFan 441053, 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

    Filter design; Stochastic Markovian jump system; Hopfield neural networks; Parameter uncertainty; Time-varying delay; Linear matrix inequality;

    机译：过滤器设计;随机马尔可夫跳跃系统;Hopfield神经网络;参数不确定性;时变延迟;线性矩阵不等式;

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