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Balancing reduction of linear systems having multiple delays

 

作者: Tong‐Yi Guo,   Chyi Hwang,   Jenq‐Shiaw Lin,  

 

期刊: Journal of the Chinese Institute of Engineers  (Taylor Available online 1995)
卷期: Volume 18, issue 5  

页码: 673-682

 

ISSN:0253-3839

 

年代: 1995

 

DOI:10.1080/02533839.1995.9677732

 

出版商: Taylor & Francis Group

 

关键词: model reduction;balance realization;delay systems

 

数据来源: Taylor

 

摘要:

In this paper we apply the balancing reduction method to derive reduced‐order models for linear systems having multiple delays. The time‐domain balanced realization is achieved through computing the controllability and observability gramians in the frequency domain. With the variable transformations=itan(θ/2), the gramians of linear multi‐delay systems can be accurately evaluated by solving first‐order differential equations over a finite domain. The proposed approach is computationally superior to that of using the two‐dimensional realization of delay differential systems.

 

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