随机时滞神经网络的指数稳定性(英)

本文研究了具有不确定性随机时滞神经网络的指数稳定性，利用Ｌｙａｐｕｎｏｖ 泛函鞅不等式和Ｂｏｒｅｌ－ Ｃａｎｔｅｌｌｉ 引理，建立了均方指数稳定与几乎必然指数稳定的充分判据，这些判据是时滞无关的且仅要求检验某一不等式－ 这些结果是最近某些文献中结果的推广－ 最后，一个数字例子说明所给判据的有效性

Exponential Stability of Stochastic Delay Neural Networks

In this paper,we investigate exponential stability of stochastic delay neural network with uncertainty. By utilizing the Lyapunov functional, martigale inequality and Borel-Cantelli lemma,we establish sufficient criteria for the exponentially stable in the mean square and almost surely exponentially stable. These criteria are independent of delay and only require verification of a certain inequality .Our results are generalizations of some recent ones reported in the literature. In final, a numerical example is given to illustrate the effectiveness of the obtained criteria.