线性时滞切换控制系统的二次稳定:Krasovsikii方法  

Krasovskii approach to quadratic stabilization of linear time-delay switched control systems

作　　者：莫玉忠[1] 刘锦春[2] 虞继敏[1] 

机构地区：[1]柳州师范高等专科学校,广西柳州545004 [2]广西师范学院,广西南宁530023

出　　处：《西南民族大学学报（自然科学版）》2008年第2期238-244,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：2007年度广西教育厅科研资助项目(项目编号:200707MS063)

摘　　要：研究线性时滞切换控制系统的稳定性问题,利用卡拉索夫斯基(Krasovsikii)定理和凸组合技术,构造了新的切换系统的公共Lyapunov函数和切换信号,给出了新的二次稳定的充要条件.最后给出了仿真算例,验证了它的有效性和正确性.In this paper, the problem of quadratic stabilization of the linear time-delay switch control systems is investigated. According to Krasovsikii theorem, a new common Lyapunov function of switching systems and switching signal is constructed. Then several new necessary and sufficient conditions are given by convex combination. Finally, a simulation of example, it proves their effectiveness and correctness.

关 键 词：Krasovsikii定理 凸组舍技术 公共Lyapunov函数 切换率 二次稳定 

分 类 号：O29[理学—应用数学]