离散广义双线性系统的稳定控制研究  

Research on Stability Control of Discrete Singular Bilinear System

作　　者：海成霞 

机构地区：[1]宁夏理工学院文理学院,宁夏石嘴山753000

出　　处：《广西民族大学学报（自然科学版）》2017年第4期51-53,共3页Journal of Guangxi Minzu University ：Natural Science Edition

摘　　要：双线性系统模型可以很好地描述实际模型,因此,对双线性系统的稳定研究具有很大的实际价值和理论意义.笔者主要针对离散广义双线性系统,寻找反馈控制使得对应的闭环系统全局渐近稳定.最后给出了反馈控制器,利用Lyapunov稳定性理论,证明离散广义双线性系统在此控制器作用下全局渐近稳定.The actual model can be described by bilinear system model very well.Therefore,The study of stability of bilinear systems is of great practical value and theoretical significance.In this paper,for the discrete singular bilinear systems,the feedback control is considered to make the corresponding closed-loop systems globally asymptotically stable.Finally,the feedback controller is given.By using the Lyapunov stability theory,it is proved that the discrete singular bilinear system is globally asymptotically stable under the controller.

关 键 词：广义双线性系统 稳定控制 LYAPUNOV稳定性理论 

分 类 号：O14[理学—数学]