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Asymptotic Stability of Cohen-Grossberg BAM Neutral Type Neural Networks with Distributed Time Varying Delays

机译:具时变分布时滞的Cohen-Grossberg BAM中立型神经网络的渐近稳定性

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摘要

This paper is concerned with the problem of asymptotic stability of neutral type Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays. By constructing a suitable Lyapunov-Krasovskii functional (LKF), reciprocal convex technique and Jensen's inequality are used to delay-dependent conditions are established to analysis the asymptotic stability of Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays. These stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. Finally numerical examples are given to illustrate the usefulness of our proposed method.
机译:本文关注具有离散和分布时变时滞的中立型Cohen-Grossberg BAM神经网络的渐近稳定性问题。通过构造合适的Lyapunov-Krasovskii泛函(LKF),建立了倒数倒数技术和Jensen不等式来建立依赖于时滞的条件,以分析具有离散和分布时变时滞的Cohen-Grossberg BAM神经网络的渐近稳定性。这些稳定性条件被公式化为线性矩阵不等式(LMI),可以通过各种凸优化算法轻松解决。最后通过数值算例说明了该方法的有效性。

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