The Stability of Nonlinear Stochastic Delay Systems with Its Applications
非线性随机时滞系统的稳定性与应用

In the first part of this paper we consider a family of nonlinear stochastic delay systems with uncertainties. For such systems, we establish sufficient criteria for the exponential stability in mean square and the almost sure exponential stability. These criteria are independent of delay. In the second part, we apply these sufficient conditions to a class of stochastic delay neural networks with uncertainties and obtain practical criteria to test exponential stability of these stochastic delay neural networks. 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.