Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type (Q961635)

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scientific article; zbMATH DE number 5688915
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Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type
scientific article; zbMATH DE number 5688915

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    Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type (English)
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    31 March 2010
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    Consider stochastic interval neural networks with distributed delays of neutral type equation: \[ \begin{multlined} d[x(t) - Dx(t-\mu (t))] =\\ \bigg [ -Ax(t) +W^{(1)}f(x(t)) + W^{(2)}f(x(t-\tau(t)))+ W^{(3)}\int_{-\infty}^t K(t-s)f(x(s))ds \bigg ] dt \\+ \sigma(t,x(t),x(t-\tau(t)), x(t-\mu(t)))d\omega(t).\end{multlined} \] The author studies stochastic stability for interval neural networks with continuously distributed delays of neutral type. Using a Lyapunov-Krasovskii functional and LMI technique, the author obtains sufficient conditions for global robust stability. Obtained results are demonstrated by using the MATLAB LMI control toolbox.
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    stochastic interval neural networks
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    global robust stability
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    Lyapunov-Krasovskii functional
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    linear matrix inequality (LMI)
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    continuously distributed delays
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