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Improved robust stability criteria for bidirectional associative memory neural networks under parameter uncertainties

机译:参数不确定性下双向联想记忆神经网络的改进鲁棒稳定性判据

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This paper deals with the global robust stability problem of dynamical bidirectional associative memory neural networks with multiple time delays under parameter uncertainties. Using some new upper bound norms for the interconnection matrices of the neural networks and constructing suitable Lyapunov functional, we derive novel conditions for the global robust asymptotic stability of equilibrium point. The obtained results can be easily verified as they can be expressed in terms of the network parameters only. It is shown that the established stability condition generalizes some existing ones, and it can be considered to an alternative result to some other corresponding results derived in previous literature. We also provide two comparative numerical examples to illustrate the advantages of our result over the previously published corresponding robust stability results.
机译:在参数不确定的情况下,研究了具有多个时滞的动态双向联想记忆神经网络的全局鲁棒稳定性问题。对神经网络的互连矩阵使用一些新的上界范数并构建合适的Lyapunov泛函,我们得出了平衡点全局鲁棒渐近稳定性的新条件。获得的结果可以很容易地验证,因为它们只能用网络参数表示。结果表明,所建立的稳定性条件概括了一些现有条件,可以认为是对先前文献中得出的某些其他相应结果的替代结果。我们还提供了两个比较数值示例,以说明我们的结果相对于先前发布的相应鲁棒稳定性结果的优势。

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