中立型随机时滞微分方程的离散反馈镇定（英文）  

Stabilization of neutral stochastic delay differential equations by discrete-time feedback control

作　　者：石劢讴 李毓媛 寇春海[1] Shi Maiou;Li Yuyuan;Kou Chunhai(College of Science,Donghua University,Shanghai 201620,China;College of Information Science and Technology,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620 [2]东华大学信息科学与技术学院,上海201620

出　　处：《上海师范大学学报（自然科学版）》2018年第3期280-289,共10页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The Fundamental Research Funds for the Central Universities(104-06-0019057)

摘　　要：考虑了中立型随机时滞微分方程基于离散时间状态观测的反馈镇定问题.首先建立了受控系统均方指数稳定的充分条件,然后基于此用线性矩阵不等式方法设计了所需的离散时间的反馈控制器,最后举例说明了所得结果的有效性.This paper is concerned with the problem of stabilization for neutral stochastic delay dif- ferential equations by feedback control based on discrete-time state observations. Firstly, sufficient conditions that ensure the mean-square exponential stability of the controlled system are established. Then the linear matrix inequalities （LMIs） approach is employed to design the discrete-time feedback controller. Finally, an illustrative example is presented to show the effectiveness of the proposed results.

关 键 词：中立型随机微分方程 镇定 离散时间的反馈控制 RAZUMIKHIN技巧 

分 类 号：O211.63[理学—概率论与数理统计]