混合时滞随机中立型分布参数系统的稳定性  

Stability of Stochastic Neutral Distributed Parameter Systems with Mixed Time-delays

作　　者：李成群[1] 李延波 张晶华[1] 苏志伟 LI Cheng-qun;LI Yan-bo;ZHANG Jing-hua;SU Zhi-wei(School of Information and Statistics,Guangxi University of Finance and Economics,Nanning 530001,China)

机构地区：[1]广西财经学院信息与统计学院,广西南宁530001

出　　处：《数学的实践与认识》2022年第8期186-192,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71961002);广西财经学院博士科研启动项目(BS2019002);广西青年扩展项目(2020KY16018)。

摘　　要：通过计算Itô微分公式,利用Schur补引理,研究了一类具有混合时滞的Itô型随机中立型分布参数系统的稳定性问题.以线性矩阵不等式形式给出系统是随机稳定的判别条件.最后,数值算例验证所得结论的有效性.The stability of a class of stochastic neutral distributed parameter systems with mixed delays is studied by calculating the differential formula and Schur complement lemma in this paper.The criteria for stochastic stability of the system are given in the form of linear matrix inequalities.Finally,a numerical example verifies the validity of the conclusion.

关 键 词：中立型分布参数系统 混合时滞 Itô型 

分 类 号：O211.63[理学—概率论与数理统计]