Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (2): 35-39.

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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

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

CLC Number: 

  • O231
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