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CHARACTERISTIC MATRICES AND SIMILARITY OF TIME-VARYING LINEAR DIFFERENTIAL SYSTEMS
作者姓名:邓飞其  刘永清  冯昭枢
作者单位:华南理工大学!510641
摘    要:1IntroductionLineardial'~rentialsystemsa.rethesimplestmod(}lsinmotiolls,tijoyarcwidelyusedincontroltheory,Inechanlcsandengineel'illg.Invest;igationsoiltileasymptoticpropertiesoftinea,rSystclllshay')oss(3ntialsense.Fbi'tilelin(3arsy'stemswithconstantcoeffi…


CHARACTERISTIC MATRICES AND SIMILARITY OF TIME-VARYING LINEAR DIFFERENTIAL SYSTEMS
Deng Feiqi ,Liu Yongqing ,Feng Zhaoshu.CHARACTERISTIC MATRICES AND SIMILARITY OF TIME-VARYING LINEAR DIFFERENTIAL SYSTEMS[J].微分方程年刊(英文版),1997(1).
Authors:Deng Feiqi  Liu Yongqing  Feng Zhaoshu
Abstract:In this paper, we discuss foe characteristic matrices and similarity of timevarying linear differential systems with emphasis on the relationship of similarityand characteristic matrices of the systems, obtaining the necessary and sufficientcondition for a matrix bein characteristic matrix, the necessary and sufficientcondition for time-varying linear systems being similar and the necessary andsufficient condition for a time-varying linear system being similar to a blockdiagonai system. We improve one of t,he main results of 4].
Keywords:Time-varying system  Characteristic matrix  Similarity  Blockdiagonal system
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