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Model reduction of interconnected linear systems 
Abstract 
The problem of model reduction of linear s … The problem of model reduction of linear systems with certain interconnection structure is considered
in this paper. To preserve the interconnection structure between subsystems in the reduction, special
care needs to be taken. This problem is important and timely because of the recent focus on complex
networked systems in control engineering. Two different modelreduction methods are introduced and
compared in the paper. Both methods are extensions to the wellknown balanced truncation method.
Compared to earlier work in the area these methods use a more general linear fractional transformation
framework, and utilize linear matrix inequalities. Furthermore, new approximation error bounds that
reduce to classical bounds in special cases are derived. Socalled structured Hankel singular values ocalled structured Hankel singular values +


Authors  Henrik Sandberg, Richard M Murray + 
ID  2008e + 
Source  Optimal Control Applications and Methods, 2008 (to appear) + 
Tag  sm08ocam + 
Title  Model reduction of interconnected linear systems + 
Type  Preprint + 
Categories  Papers 
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15 May 2016 06:16:58 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/sm08ocam_s.pdf + 
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Model reduction of interconnected linear systems +  Title 
