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An intrinsic property of relative order and its application

 

作者: XIAOYUN LU,   DAVIDJ. BELL,  

 

期刊: International Journal of Control  (Taylor Available online 1994)
卷期: Volume 60, issue 5  

页码: 1045-1050

 

ISSN:0020-7179

 

年代: 1994

 

DOI:10.1080/00207179408921509

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Although the very important concept of relative order is defined in differential geometric control with respect to an affine input-state-output (I-S-O) system, it is rather the difference between the highest orders of the derivative of output and that of input in the corresponding input-output (I-O) systems. This is a direct generalization of the result in the case of the transfer function in linear control theory. The relative order is proved to be an invariant of realization, and applications in realization and minimal equivalence are discussed..

 

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