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.
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
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)
关键词
脉冲系统
时变系统
脉冲能控性
impulsive systems
time-varying systems
impulsive controllability
