具有分布时滞和无界时变时滞的随机神经网络的稳定性分析

摘要

通过引入衰减因子,构造一个新的Lyapunov泛函,结合不等式技巧,利用随机分析理论研究同时具有无界时变时滞和有界分布时滞的随机神经网络的p阶矩指数稳定性和几乎必然指数稳定性.所得稳定性判据只涉及系统本身参数,易于在实践中验证,结论推广改进了相关文献的结果.实例说明方法的有效性.%By introducing an exponential decay factor, constructing a new Lyapunov functional and combining with inequality technique, the theory of stochastic analysis is utilized to study the p-th moment exponential stability and almost sure exponential stability for the stochastic neural networks with both distributed and unbounded time-varying delays. The obtained criteria are given in terms of the system parameters only, and are easy to be verified. The results generalized and improved the previous ones. A numerical example is given to illustrate the effectiveness of the approach.