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ISSN: 2333-9721
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Exponential Stability in Mean Square for Stochastic Hopfield Delay Neural Networks: an LMI Approach
随机Hopfield时滞神经网络均方指数稳定性: LMI方法

Keywords: Stochastic Hopneld neural networks,Time-delay,Exponential stability in mean square,Linear matrix inequality (LMI)
随机神经网络
,时滞,均方指数稳定性,线性矩阵不等式

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Abstract:

By using a technique of model transformation of the system, a new type of Lyapunov functional is introduced. By applying this new Lyapunov functional, a novel delay-dependent sufficient condition of exponential stability in mean square for stochastic Hopfield delay neural networks is derived in terms of linear matrix inequalities (LMIs). A delay-independent sufficient condition is also presented. Numerical examples show that the proposed method is less conservative than the previous ones.

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