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Finitely generated ideals in certain algebras of transfer functions for infinite-dimensional systems†

 

作者: HARTMUT LOGEMANN,  

 

期刊: International Journal of Control  （Taylor Available online 1987）
卷期: Volume 45, issue 1  

页码: 247-250

 

ISSN:0020-7179

 

年代: 1987

 

DOI:10.1080/00207178708933724

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

In this note we show that in certain algebras of stable transfer functions for infinite-dimensional systems there exist finitely generated ideals that are not principal. As a consequence there exist unstable transfer functions that have no coprime factorizations.

 

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