广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (2): 35-39.

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一类时变系统脉冲能控性的代数判据

陈武华, 杜蕊, 付威   

  1. 广西大学数学与信息科学学院,广西南宁530004
  • 收稿日期:2011-01-09 发布日期:2018-11-19
  • 通讯作者: 陈武华(1967—),男,湖北武穴人,广西大学教授。E-mail:wuhuachen@163.com
  • 基金资助:
    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)

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

CHEN Wu-hua, DU Rui, FU Wei   

  1. College of Mathematicsand Information Science,Guangxi University,Nanning Guangxi 530004,China
  • Received:2011-01-09 Published:2018-11-19

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。

关键词: 脉冲系统, 时变系统, 脉冲能控性

Abstract: The impulsive controllability of a class of linear time-varying systems is studied.First,based on state transition matrix,necessaryand sufficient conditions for impulsive controllability of linear time-varyingsystems are obtained.Then,the frozen coefficient method combined with contraction mapping principle is applied to investigate the impulsive controllability of aclass 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.

Key words: impulsive systems, time-varying systems, impulsive controllability

中图分类号: 

  • O231
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