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Zbl 1196.34107
Li, Xiaodi
Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type.
(English)
[J] Appl. Math. Comput. 215, No. 12, 4370-4384 (2010). ISSN 0096-3003

Consider stochastic interval neural networks with distributed delays of neutral type equation: $$\multline d[x(t) - Dx(t-\mu (t))] =\\ \bigg [ -Ax(t) +W^{(1)}f(x(t)) + W^{(2)}f(x(t-\tau(t)))+ W^{(3)}\int_{-\infty}^t K(t-s)f(x(s))ds \bigg ] dt \\+ \sigma(t,x(t),x(t-\tau(t)), x(t-\mu(t)))d\omega(t).\endmultline$$ 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.
[Haydar Akca (Al Ain)]
MSC 2000:
*34K50 Stochastic delay equations
34K20 Stability theory of functional-differential equations
34K40 Neutral equations
92B20 General theory of neural networks

Keywords: stochastic interval neural networks; global robust stability; Lyapunov-Krasovskii functional; linear matrix inequality (LMI); continuously distributed delays

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