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Diamond and simplex stability regions

 

作者: LONG WANG,   LIN HUANG,  

 

期刊: International Journal of Systems Science  (Taylor Available online 1993)
卷期: Volume 24, issue 4  

页码: 757-767

 

ISSN:0020-7721

 

年代: 1993

 

DOI:10.1080/00207729308949519

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Diamond and simplex models are useful in dealing with systems under parameter perturbations. A diamond (simplex) stability region 𝒟 is an open set in the complex plane with the property that if the zeros of all vertex polynomials of any diamond (simplex) family are all in 𝒟, then the zeros of all the polynomials of this family are all in 𝒟. It is shown that some typical stability regions used in control systems design are diamond (simplex) stability regions. Some discussions and extensions are also presented.

 

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