随机泛函微分系统的渐近性分析(英文)

Asymptotic Property of Nonlinear Stochastic Functional Differential Systems

针对已有的随机泛函微分系统的渐近稳定性的结果,要求系统的系数满足线性增长条件,本文主要目的是去掉这一限制条件,给出了非线性随机泛函微分系统的渐近稳定性的新结果.新的稳定性判据不仅可以涵盖更多的非线性随机泛函微分系统,而且证明方法更加简单.

We will establish new results on asymptotic stability for stochastic functional differential systems.Most of the existing criteria on stability require the coefficients to obey the linear growth condition.The main aim of the paper is to remove the restrictive condition.Our new criteria not only cover many highly nonlinear stochastic functional differential system,but they can also be verified much more easily than the existing criteria.