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随机中立型时滞系统的广义H_2控制
引用本文:周磊,肖小庆.随机中立型时滞系统的广义H_2控制[J].兰州理工大学学报,2008,34(6).
作者姓名:周磊  肖小庆
作者单位:1. 华东师范大学,数学系,上海,200062;南通大学,理学院,江苏,南通,226007
2. 南通大学,理学院,江苏,南通,226007
基金项目:江苏省自然科学基金 , 江苏省六大人才高峰项目 , 南通市应用研究计划项目  
摘    要:考虑一类随机中立型时滞系统的广义H2控制问题.利用Lyapunov方法和线性矩阵不等式,得到状态反馈控制器存在的充分条件,保证闭环系统均方渐近稳定.同时给出随机中立型时滞系统广义H2控制器的设计方法.数值例子的仿真结果验证所得方法的有效性.

关 键 词:广义H2控制  均方渐近稳定  随机中立型  状态反馈  线性矩阵不等式(LMI)

Generalized H_2 control of stochastic neutral timedelay systems
ZHOU Lei,XIAO Xiao-qing.Generalized H_2 control of stochastic neutral timedelay systems[J].Journal of Lanzhou University of Technology,2008,34(6).
Authors:ZHOU Lei  XIAO Xiao-qing
Institution:ZHOU Lei1,2,XIAO Xiao-qing2(1.Dept.of Mathematics,East China Normal University,Shanghai 200062,China,2.School of Science,Nantong University,Nantong 226007,China)
Abstract:A class of generalized H2 control problem of stochastic neutral time-delay systems was taken into consideration.Applying the Lyapunov method and linear matrix inequality(LMI) technique,a sufficient condition for the existence of the state feedback controller was obtained,which ensured the mean-square asymptotic stability of the closed loop system.Meantime,the design method of generalized H2 controller for stochastic neutral time-delay systems was given.A numerical simulation showed that the proposed method ...
Keywords:generalized H2 control  mean-square asymptotical stability  stochastic neutrality  state feedback  linear matrix inequality(LMI)  
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