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Counter-example to ‘Sufficient and necessary condition for the asymptotic stability of discrete linear interval systems’

 

作者: C. B. Soh,  

 

期刊: International Journal of Control  （Taylor Available online 1989）
卷期: Volume 49, issue 3  

页码: 1107-1108

 

ISSN:0020-7179

 

年代: 1989

 

DOI:10.1080/00207178908559693

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

In this note, the interval matrix result for discrete linear interval system by Jiang (1988) is shown to be incorrect, i.e. all eigenvalues of each matrixAϵA1(an interval matrix) have magnitudes less than 1 if and only if all the eigenvalues of every ‘extreme matrix’ of the interval matrixA1have magnitudes less than 1.

 

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