Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: An LMI approach

Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: An LMI approach
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具有时滞和脉冲的 BAM 神经网络的全局鲁棒渐近稳定性分析:LMI 方法

DOI:
10.1016/j.amc.2010.03.003
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发表时间:
2010-05
影响因子:
4
通讯作者:
周庆华
周庆华
中科院分区:
数学2区
文献类型:
--
作者:
万立;周庆华

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研究了具有恒定或时变时滞和脉冲的双向联想记忆(BAM)神经网络的全局鲁棒渐近稳定性。采用Lyapunov-Krasovskii泛函与线性矩阵不等式(LMI)相结合的方法来研究这一问题。给出了全局鲁棒渐近稳定性的若干准则,给出了时滞相关性质的信息。通过实例说明了所得结果的有效性。
The global robust asymptotic stability of bi-directional associative memory (BAM) neural networks with constant or time-varying delays and impulse is studied. An approach combining the Lyapunov–Krasovskii functional with the linear matrix inequality (LMI) is taken to study the problem. Some a criteria for the global robust asymptotic stability, which gives information on the delay-dependent property, are derived. Some illustrative examples are given to demonstrate the effectiveness of the obtained results.
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