DocumentCode
1444704
Title
On formal power series representations for uncertain systems
Author
Beck, Carolyn
Author_Institution
Dept. of Gen. Eng., Illinois Univ., Urbana, IL, USA
Volume
46
Issue
2
fYear
2001
fDate
2/1/2001 12:00:00 AM
Firstpage
314
Lastpage
319
Abstract
The concept of minimality as developed for uncertain and multidimensional systems represented by linear fractional transformations (LFTs) is related to realization theory results for formal power series. We discuss the relationship between the notions of minimality for LFT and series realizations, and present a method for obtaining one type of minimal realization from the opposing type. An extension of an existing minimality result for formal power series to the multi-input-multi-output (MIMO) case is also presented
Keywords
Hankel matrices; MIMO systems; multidimensional systems; realisation theory; series (mathematics); state-space methods; uncertain systems; formal power series representations; linear fractional transformations; minimality; multi-input-multi-output systems; realization theory; series realizations; Adaptive filters; Additive noise; Filtering algorithms; Least squares approximation; Resonance light scattering; Robustness; Signal processing algorithms; State estimation; Uncertain systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.905701
Filename
905701
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