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  

The stability analysis of the stochastic neural networks with both the distributed and unbounded time-varying delays

作　　者：毛凯[1] 张术东[1] 时宝[1] 

机构地区：[1]海军航空工程学院基础部,烟台264001

出　　处：《黑龙江大学自然科学学报》2013年第1期33-38,共6页Journal of Natural Science of Heilongjiang University

基　　金：光电控制技术国防科技重点实验室资助项目(20120224006);海军航空工程学院专业技术拔尖人才基金(名师工程)

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.

关 键 词：分布时滞 无界时变时滞 随机神经网络 局部鞅 p阶矩指数稳定 几乎必然指数稳定 

分 类 号：O175.13[理学—数学]