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Exponential Stability of Stochastic Neural Networks with Mixed Time-Delays

机译:具有混合时滞的随机神经网络的指数稳定性

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This paper investigates the exponential stability of stochastic neural networks with unbounded discrete delays and infinitely distributed delays. By using Lyapunov functions, the semi-martingale convergence theorem and some inequality techniques, the exponential stability in mean square and almost sure exponential stability are obtained. To overcome the difficulties from unbounded delays, some new techniques are introduced. Some earlier results are improved and generalized. An example is given to illustrate the results.
机译:本文研究了具有无穷离散延迟和无限分布延迟的随机神经网络的指数稳定性。通过使用李雅普诺夫函数,半-收敛定理和一些不等式技术,获得了均方指数稳定性和几乎确定的指数稳定性。为了克服无限延迟带来的困难,引入了一些新技术。一些较早的结果得到了改进和推广。给出一个例子来说明结果。

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