具有泄漏时滞的随机非线性系统的鲁棒稳定性  

Robust Stability of Stochastic Nonlinear Systems with Leakage Delay

作　　者：查明鑫 谢涛 司文晓 ZHA Mingxin;XIE Tao;SI Wenxiao(School of Mathematics and Statistics,Hubei Normal University,Huangshi Hubei 435002)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北理工学院学报》2022年第3期48-53,共6页Journal of Hubei Polytechnic University

基　　金：湖北师范大学重点教学研究项目(项目编号:2021036)。

摘　　要：稳定是系统正常运行的前提条件,也是人们研究的热点问题。为研究带有泄漏时滞和随机扰动的非线性系统的鲁棒稳定性,对于一个初始状态稳定的非线性系统,在扰动和时滞的作用下,利用基本不等式和超越方程计算出时滞区间和扰动强度的允许上界,证明了随机非线性系统在给定条件下的均方指数稳定性,得到了受扰系统渐进稳定的充分条件。Stability is the precondition for the normal operation of the system as well as a hot issue.In order to study the robust stability of nonlinear systems with leaky delays and random disturbances,for a nonlinear system with stable initial state,under the action of disturbances and delays,the delay interval is calculated by using fundamental inequalities and transcendental equations.The permissible upper bound of the perturbation strength,the mean square exponential stability of the stochastic nonlinear system under given conditions has been proved,and the sufficient conditions for the asymptotic stability of the perturbed system are obtained.

关 键 词：非线性系统 泄漏时滞 随机扰动 鲁棒性 

分 类 号：O175.6[理学—数学]