一类时变系统脉冲能控性的代数判据  

An Algebraic Criterion of Impulsive Controllability for a Class of Time-varying Systems

作　　者：陈武华[1] 杜蕊[1] 付威[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西师范大学学报（自然科学版）》2011年第2期35-39,共5页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(60864002);广西自然科学基金资助项目(2011GXSFA018141)

摘　　要：本文研究了一类线性时变系统的脉冲能控性。首先,基于状态转移矩阵,给出了线性时变系统脉冲能控性的充要条件;然后,对一类线性时变系统,运用冻结系数法思想,并结合压缩映像原理,建立了系统脉冲能控性的代数判据;最后,给出一个例子说明本文结果的有效性。The impulsive controllability of a class of linear time-varying systems is studied. First,based on state transition matrix, necessary and sufficient conditions for impulsive controllability of linear timevarying systems are obtained. Then, the frozen coefficient method combined with contraction mapping principle is applied to investigate the impulsive controllability of a class of linear time-varying systems. An algebraic criterion for impulsive controllability is established. Finally ,an example is provided to illustrate the effectiveness of the results.

关 键 词：脉冲系统 时变系统 脉冲能控性 

分 类 号：O231[理学—运筹学与控制论]